Daily update 2 on 20240228 by nitload youmu
This commit is contained in:
Nitload
@@ -0,0 +1,110 @@
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//-----------------------------------------------------------------------
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//-----------------------------------------------------------------------
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// file="ACos.cs"
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// Project: StgSharp
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// AuthorGroup: Nitload Space
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||||
// 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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
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//-----------------------------------------------------------------------
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using System;
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using System.Runtime.CompilerServices;
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namespace StgSharp.Math
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{
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public static unsafe partial class Scaler
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{
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[MethodImpl( MethodImplOptions.AggressiveInlining )]
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public static unsafe float ACos( float x )
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{
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return MathF.Acos( x );
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/*
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int sign = 1;
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float y;
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if (x < 0)
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{
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sign = -1;
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y = -x;
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}
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else
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{
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y = x;
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}
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if (x > 1)
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{
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throw new ArgumentException();
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}
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float r, s, u, v = 0.0f;
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bool transform = (y >= 0.5f);
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if (transform)
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{
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r = 0.5f * (1.0f - y);
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s = Scaler.Sqrt(r);
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y = s;
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}
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else
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{
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r = y * y;
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}
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u = r * (0.184161606965100694821398249421F +
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(-0.0565298683201845211985026327361F +
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(-0.0133819288943925804214011424456F -
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0.00396137437848476485201154797087F * r) * r) * r) /
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(1.10496961524520294485512696706F -
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0.836411276854206731913362287293F * r);
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/*
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if (transform)
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{
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float c, s1, p, q;
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uint us;
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us = *(uint*)&s;
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uint uss = us & 0xffff0000;
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s1 = *(float*)&uss;
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c = (r - s1 * s1) / (s + s1);
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p = 2.0F * s * u - (piby2_tail - 2.0F * c);
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q = hpiby2_head - 2.0F * s1;
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v = hpiby2_head - (p - q);
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}
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else
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{
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v = y + y * u;
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}
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v = sign * v;
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return piby2 - v;
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*/
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}
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}
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}
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@@ -0,0 +1,116 @@
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//-----------------------------------------------------------------------
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//-----------------------------------------------------------------------
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// file="ASin.cs"
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// Project: StgSharp
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// AuthorGroup: Nitload Space
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||||
// 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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
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using System;
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namespace StgSharp.Math
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{
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public static unsafe partial class Scaler
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{
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private const float
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piby2_tail = 7.5497894159e-08f, /* 0x33a22168 */
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hpiby2_head = 7.8539812565e-01f, /* 0x3f490fda */
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piby2 = 1.5707963705e+00f; /* 0x3fc90fdb */
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/// <summary>
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/// Reurns the value of ArcSin(x)
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/// </summary>
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/// <param _name="x"> The sine value of the angle </param>
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/// <returns></returns>
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/// <exception cref="ArgumentException"></exception>
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public static float ASin( float x )
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{
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return MathF.Asin( x );
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/*
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int sign = 1;
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float y;
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if (x < 0)
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{
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sign = -1;
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y = -x;
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}
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||||
else
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||||
{
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||||
y = x;
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||||
}
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||||
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||||
if (x > 1)
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||||
{
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throw new ArgumentException();
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||||
}
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||||
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||||
float r, s, u, v = 0.0f;
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||||
bool transform = (y >= 0.5f);
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if (transform)
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{
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r = 0.5f * (1.0f - y);
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s = Scaler.Sqrt(r);
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y = s;
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}
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else
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||||
{
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||||
r = y * y;
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||||
}
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||||
u = r * (0.184161606965100694821398249421F +
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(-0.0565298683201845211985026327361F +
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(-0.0133819288943925804214011424456F -
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||||
0.00396137437848476485201154797087F * r) * r) * r) /
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(1.10496961524520294485512696706F -
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0.836411276854206731913362287293F * r);
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||||
/*
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||||
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||||
if (transform)
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||||
{
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float c, s1, p, q;
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uint us;
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||||
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||||
us = *(uint*)&s;
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uint uss = us & 0xffff0000;
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s1 = *(float*)&uss;
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c = (r - s1 * s1) / (s + s1);
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p = 2.0F * s * u - (piby2_tail - 2.0F * c);
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q = hpiby2_head - 2.0F * s1;
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v = hpiby2_head - (p - q);
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}
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else
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{
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v = y + y * u;
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}/*
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return sign * v;
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*/
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}
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||||
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||||
}
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||||
}
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@@ -0,0 +1,119 @@
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//-----------------------------------------------------------------------
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//-----------------------------------------------------------------------
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||||
// file="ATan.cs"
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||||
// 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 unsafe partial class Scaler
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||||
{
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||||
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[MethodImpl( MethodImplOptions.AggressiveInlining )]
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public static unsafe float ATan( float x )
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{
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return MathF.Atan( x );
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||||
/*
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||||
float sign = 1, angle = 0;
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||||
if (x < 0)
|
||||
{
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||||
sign = -1;
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||||
x = -x;
|
||||
}
|
||||
uint xBit = *(uint*)&x;
|
||||
int xExp = (int)(xBit >> 23) - 127;
|
||||
if (xExp >= 26)
|
||||
{
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||||
return 1;
|
||||
}
|
||||
if (xExp <= -15)
|
||||
{
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||||
return x;
|
||||
}
|
||||
if (xExp >= 0)
|
||||
{
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||||
x = (x - 1) / (x + 1);
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||||
angle = 0.7853981634f;
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||||
}
|
||||
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||||
float v = 0.7853981634f * x + x * (1 - x) * (0.2447f + 0.0663f * x);
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||||
v += angle;
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||||
v *= sign;
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||||
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return v;
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||||
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||||
|
||||
}
|
||||
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||||
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||||
public static unsafe float ATan(float x, float y)
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||||
{
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||||
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||||
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||||
float z = y / x;
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||||
|
||||
float sign = 1, angle = 0, angle2 = 0;
|
||||
if (x < 0)
|
||||
{
|
||||
angle = -3.1415926535f;
|
||||
}
|
||||
if (z < 0)
|
||||
{
|
||||
sign = -1;
|
||||
z = -z;
|
||||
}
|
||||
uint zBit = *(uint*)&z;
|
||||
int zExp = (int)(zBit >> 23) - 127;
|
||||
if (zExp >= 26)
|
||||
{
|
||||
return 1;
|
||||
}
|
||||
if (zExp <= -15)
|
||||
{
|
||||
return z;
|
||||
}
|
||||
if (zExp >= 0)
|
||||
{
|
||||
z = (z - 1) / (z + 1);
|
||||
angle2 = 0.7853981634f;
|
||||
}
|
||||
|
||||
float v = 0.7853981634f * z + z * (1 - z) * (0.2447f + 0.0663f * z);
|
||||
v *= 57.29577951f;
|
||||
v += angle2;
|
||||
v += angle;
|
||||
v *= sign;
|
||||
|
||||
return v;
|
||||
*/
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,71 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="BasicOps.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.Globalization;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static unsafe float Abs( float x )
|
||||
{
|
||||
uint* a = ( uint* )&x;
|
||||
*a &= 0b_0111_1111_1111_1111_1111_1111_1111_1111;
|
||||
return *( float* )a;
|
||||
}
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static unsafe int Abs( int x )
|
||||
{
|
||||
uint* a = ( uint* )&x;
|
||||
*a &= 0b_0111_1111_1111_1111_1111_1111_1111_1111;
|
||||
return *( int* )a;
|
||||
}
|
||||
|
||||
internal static string GetListSeparator(
|
||||
IFormatProvider formatProvider )
|
||||
{
|
||||
if( formatProvider is CultureInfo cultureInfo ) {
|
||||
return cultureInfo.TextInfo.ListSeparator;
|
||||
}
|
||||
|
||||
if( formatProvider?.GetFormat( typeof( TextInfo ) ) is TextInfo textInfo ) {
|
||||
return textInfo.ListSeparator;
|
||||
}
|
||||
|
||||
return CultureInfo.CurrentCulture.TextInfo.ListSeparator;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,65 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Compare.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.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static partial class Scaler
|
||||
{
|
||||
|
||||
public static float MaxOf( params float[] stream )
|
||||
{
|
||||
float ret = stream[ 0 ];
|
||||
foreach( float num in stream ) {
|
||||
if( ret < num ) {
|
||||
ret = num;
|
||||
}
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
public static float MinOf( params float[] stream )
|
||||
{
|
||||
float ret = stream[ 0 ];
|
||||
foreach( float num in stream ) {
|
||||
if( ret > num ) {
|
||||
ret = num;
|
||||
}
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,60 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Cos.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
|
||||
{
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static float Cos( float x )
|
||||
{
|
||||
/*
|
||||
float refer = x / 360.0f;
|
||||
refer -= (int)refer;
|
||||
|
||||
refer *= 40;
|
||||
int a = (int)refer; //大分度，查表
|
||||
refer -= a; //小分度，拟合
|
||||
|
||||
float refer2 = refer * refer;
|
||||
|
||||
|
||||
return ((-sinData[a]) * ((0.1570796327f * refer) - (6.459640975e-4f * refer * refer2)))
|
||||
+ (cosData[a] * ((1 - (0.0123370055f * refer2)) + (2.536695709e-5f * refer2 * refer2)));
|
||||
*/
|
||||
return MathF.Cos( x );
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,62 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Ctor.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.InteropServices;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public unsafe delegate float ScalarCalcHandler( float* x );
|
||||
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
private const uint MEM_COMMIT = 0x1000;
|
||||
private const uint MEM_RELEASE = 0x8000;
|
||||
private const uint MEM_RESERVE = 0x2000;
|
||||
private const uint PAGE_EXECUTE_READWRITE = 0x40;
|
||||
|
||||
static Scaler() { }
|
||||
|
||||
[DllImport( "Kernel32.dll", EntryPoint = "VirtualAlloc" )]
|
||||
private static extern IntPtr VirtualAlloc(
|
||||
IntPtr address,
|
||||
int size,
|
||||
uint allocType,
|
||||
uint protect );
|
||||
|
||||
[DllImport( "Kernel32.dll", EntryPoint = "VirtualFree" )]
|
||||
private static extern bool VirtualFree(
|
||||
IntPtr address,
|
||||
int size,
|
||||
uint freeType );
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,89 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Exp.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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
public const float E = 2.718281828f;
|
||||
|
||||
/// <summary>
|
||||
/// Get the value of E ^ x;
|
||||
/// </summary>
|
||||
/// <param _name="x"></param>
|
||||
/// <returns></returns>
|
||||
public static unsafe float Exp( float x )
|
||||
{
|
||||
if( x == 1 ) {
|
||||
return E;
|
||||
}
|
||||
if( x == 0 ) {
|
||||
return 1;
|
||||
}
|
||||
|
||||
bool sign = false;
|
||||
if( x < 0 ) {
|
||||
sign = true;
|
||||
x = -x;
|
||||
}
|
||||
|
||||
float z = x, t;
|
||||
if( x < 0.5f ) {
|
||||
t = 1.0f + ( x * ( 1.0f + ( x * ( 0.5f + ( x * ( 0.1666666667f + ( x * ( 0.0416666666667f + ( x * 8.333333333e-3f ) ) ) ) ) ) ) ) );
|
||||
} else {
|
||||
/*
|
||||
* define z = n * 2 ^ m
|
||||
* n is between 0 and 0.5
|
||||
*/
|
||||
uint zBit = *( uint* )&z;
|
||||
uint zBitAbs = zBit & 0b_0111_1111_1111_1111_1111_1111_1111_1111;
|
||||
uint uintm = zBitAbs >> 23;
|
||||
int m = ( *( int* )&uintm ) - 126;
|
||||
|
||||
|
||||
uint nBit = ( zBitAbs & 0b_0000_0000_0111_1111_1111_1111_1111_1111 ) + 0b_0011_1111_0000_0000_0000_0000_0000_0000;
|
||||
float n = ( *( float* )&nBit ) - 1;
|
||||
|
||||
t = 2.718281828f + ( n * ( 2.718281828f + ( n * ( 1.359140914f + ( n * ( 0.4530469714f + ( n * ( 0.1132617429f + ( n * 0.02265234857f ) ) ) ) ) ) ) ) );
|
||||
|
||||
for( int i = 0; i < m; i++ ) {
|
||||
t = t * t;
|
||||
}
|
||||
}
|
||||
|
||||
if( sign ) {
|
||||
t = 1 / t;
|
||||
}
|
||||
return t;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,34 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Function.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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public class Function { }
|
||||
}
|
||||
@@ -0,0 +1,81 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Log.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;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static partial class Scaler
|
||||
{
|
||||
|
||||
private static readonly float[] logArray = {
|
||||
0f, 0.00995033085316809f, 0.0198026272961797f, 0.0295588022415444f, 0.0392207131532813f, 0.048790164169432f, 0.0582689081239758f, 0.0676586484738149f, 0.0769610411361284f, 0.0861776962410524f, 0.0953101798043249f, 0.104360015324243f, 0.113328685307003f, 0.122217632724249f, 0.131028262406404f, 0.139761942375159f, 0.148420005118273f, 0.157003748809665f, 0.165514438477573f, 0.173953307123438f, 0.182321556793955f, 0.19062035960865f, 0.198850858745165f, 0.207014169384326f, 0.215111379616945f, 0.22314355131421f, 0.231111720963387f, 0.2390169004705f, 0.246860077931526f, 0.254642218373581f, 0.262364264467491f, 0.27002713721306f, 0.27763173659828f, 0.285178942233662f, 0.29266961396282f, 0.300104592450338f, 0.307484699747961f, 0.314810739840034f, 0.322083499169113f, 0.3293037471426f, 0.336472236621213f, 0.343589704390077f, 0.350656871613169f, 0.357674444271816f, 0.364643113587909f, 0.371563556432483f, 0.378436435720245f, 0.385262400790645f, 0.392042087776024f, 0.398776119957368f, 0.405465108108164f, 0.412109650826833f, 0.418710334858185f, 0.425267735404344f, 0.431782416425538f, 0.438254930931155f, 0.444685821261446f, 0.451075619360217f, 0.457424847038875f, 0.46373401623214f, 0.470003629245736f, 0.476234178996372f, 0.482426149244293f, 0.488580014818671f, 0.494696241836107f, 0.500775287912489f, 0.506817602368452f, 0.512823626428664f, 0.518793793415168f, 0.524728528934982f, 0.53062825106217f, 0.536493370514568f, 0.542324290825362f, 0.548121408509688f, 0.553885113226438f, 0.559615787935423f, 0.56531380905006f, 0.570979546585738f, 0.576613364303994f, 0.582215619852664f, 0.587786664902119f, 0.593326845277734f, 0.598836501088704f, 0.60431596685333f, 0.609765571620894f, 0.615185639090233f, 0.62057648772511f, 0.625938430866495f, 0.631271776841858f, 0.636576829071551f, 0.641853886172395f, 0.647103242058538f, 0.65232518603969f, 0.657520002916794f, 0.662687973075237f, 0.667829372575655f, 0.672944473242426f, 0.678033542749897f, 0.683096844706444f, 0.688134638736401f,
|
||||
};
|
||||
|
||||
/// <summary>
|
||||
///
|
||||
/// </summary>
|
||||
/// <param _name="x"></param>
|
||||
/// <returns>
|
||||
/// Returns the value of ln(x).
|
||||
/// </returns>
|
||||
public static unsafe float Log( float x )
|
||||
{
|
||||
if( x < 0 ) {
|
||||
throw new ArgumentOutOfRangeException();
|
||||
}
|
||||
uint input = *( uint* )&x;
|
||||
|
||||
int f = ( int )input;
|
||||
f >>= 23;
|
||||
f -= 127;
|
||||
input <<= 9;
|
||||
input >>= 9;
|
||||
input += 0b_0011_1111_1000_0000_0000_0000_0000_0000;
|
||||
float result = *( float* )&input;
|
||||
uint order = ( ( uint )( result * 100 ) ) - 100;
|
||||
|
||||
float cache = ( result / ( 1f + ( 0.01f * order ) ) ) - 1;
|
||||
result = ( cache * ( -0.25f ) ) + 0.3333333333333f;
|
||||
result = ( result * cache ) - 0.5f;
|
||||
result = ( result * cache ) + 1.0f;
|
||||
result *= cache;
|
||||
|
||||
return
|
||||
( f * 0.6931471806f ) + result + logArray[ order ];
|
||||
}
|
||||
|
||||
public static float Log( float x, float y )
|
||||
{
|
||||
return Log( x ) / Log( y );
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,101 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Pow.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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
/// <summary>
|
||||
/// calculate the value of x^y
|
||||
/// </summary>
|
||||
/// <param _name="x"></param>
|
||||
/// <param _name="y"></param>
|
||||
/// <returns> Returns the value of x^y </returns>
|
||||
public static unsafe float Pow( float x, float y )
|
||||
{
|
||||
/*
|
||||
* x^y = E ^ ( log( x ) * y )
|
||||
* Now define z = | log(x) * y | = m * n
|
||||
* and m is an integer, and 0.5 < |n| < 1
|
||||
* then E ^ z = ( E ^ n ) ^ m
|
||||
*
|
||||
*
|
||||
* As a float number can be expressed in (1+e)*(2^f)
|
||||
* n = (1+e)/2
|
||||
* m = 2 ^ (f + 1)
|
||||
*
|
||||
*/
|
||||
float z, t;
|
||||
if( ( x == 1 ) || ( y == 0 ) ) {
|
||||
return 1;
|
||||
}
|
||||
if( ( x == 1 ) && ( y == 0 ) ) {
|
||||
return float.PositiveInfinity;
|
||||
}
|
||||
if( ( x == 0 ) && ( y != 0 ) ) {
|
||||
return 0;
|
||||
}
|
||||
|
||||
z = Scaler.Log( x ) * y;
|
||||
|
||||
bool sign = false;
|
||||
if( z < 0 ) {
|
||||
sign = true;
|
||||
z = -z;
|
||||
}
|
||||
|
||||
if( z < 0.5f ) {
|
||||
t = 1.0f + ( z * ( 1.0f + ( z * ( 0.5f + ( z * ( 0.1666666667f + ( z * ( 0.0416666666667f + ( z * 8.333333333e-3f ) ) ) ) ) ) ) ) );
|
||||
} else {
|
||||
uint zBit = *( uint* )&z;
|
||||
uint zBitAbs = zBit & 0b_0111_1111_1111_1111_1111_1111_1111_1111;
|
||||
uint uintm = zBitAbs >> 23;
|
||||
int m = ( *( int* )&uintm ) - 126;
|
||||
|
||||
|
||||
uint nBit = ( zBitAbs & 0b_0000_0000_0111_1111_1111_1111_1111_1111 ) + 0b_0011_1111_0000_0000_0000_0000_0000_0000;
|
||||
float n = ( *( float* )&nBit ) - 1;
|
||||
|
||||
t = 2.718281828f + ( n * ( 2.718281828f + ( n * ( 1.359140914f + ( n * ( 0.4530469714f + ( n * ( 0.1132617429f + ( n * 0.02265234857f ) ) ) ) ) ) ) ) );
|
||||
|
||||
for( int i = 0; i < m; i++ ) {
|
||||
t = t * t;
|
||||
}
|
||||
}
|
||||
if( sign ) {
|
||||
t = 1 / t;
|
||||
}
|
||||
|
||||
return t;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,127 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Random.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 StgSharp.Math;
|
||||
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Data;
|
||||
using System.Numerics;
|
||||
using System.Reflection;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Security.Cryptography;
|
||||
using System.Text;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
private static byte[] randomSeed;
|
||||
|
||||
internal static float currentSeed
|
||||
#if DEBUG
|
||||
= 0.5f;
|
||||
|
||||
#else
|
||||
= Abs(System.DateTime.UtcNow.GetHashCode());
|
||||
#endif
|
||||
|
||||
/// <summary>
|
||||
/// returns a random float number between 0 and 1.
|
||||
/// </summary>
|
||||
/// <returns></returns>
|
||||
public static unsafe float LowProceisionRandom()
|
||||
{
|
||||
float seed = currentSeed;
|
||||
|
||||
float sample = Scaler.Pow( Scaler.SeedSqrt( seed ), 2 );
|
||||
float sample2 = ( sample - seed ) / seed;
|
||||
sample2 = Scaler.Abs( sample2 );
|
||||
|
||||
if( sample == 1 ) {
|
||||
sample = sample2;
|
||||
}
|
||||
|
||||
currentSeed = sample;
|
||||
sample2 *= 1000000;
|
||||
|
||||
float result = sample2 - ( ( int )sample2 );
|
||||
if( result == 0 ) {
|
||||
currentSeed = sample2 + 0.1f;
|
||||
result = Scaler.LowProceisionRandom();
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
///
|
||||
/// </summary>
|
||||
/// <returns></returns>
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static T Random<T>() where T: struct, IConvertible, INumber<T>
|
||||
|
||||
{
|
||||
if( randomSeed == null ) {
|
||||
randomSeed = new byte[64];
|
||||
string originSeed =
|
||||
( $"{((Assembly.GetEntryAssembly() == null) ? (Assembly.GetAssembly(typeof(StgSharp))!) :
|
||||
Assembly.GetEntryAssembly())}" ) + ( $"{DateTime.UtcNow.ToString("o")}" );
|
||||
using( SHA256 sha = SHA256.Create() ) {
|
||||
randomSeed = sha.ComputeHash(
|
||||
Encoding.UTF8.GetBytes( originSeed ) );
|
||||
}
|
||||
}
|
||||
using( SHA256 sha = SHA256.Create() ) {
|
||||
randomSeed = sha.ComputeHash( randomSeed );
|
||||
}
|
||||
fixed( byte* bptr = randomSeed ) {
|
||||
return *( T* )bptr;
|
||||
}
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Generates a random seed in int value.
|
||||
/// </summary>
|
||||
/// <returns></returns>
|
||||
public static unsafe int RandomSeed()
|
||||
{
|
||||
float seedValue1 = LowProceisionRandom();
|
||||
float seedValue2 = LowProceisionRandom();
|
||||
uint seedValueBits = *( uint* )&seedValue1;
|
||||
|
||||
float seedValue = seedValueBits * seedValue2;
|
||||
|
||||
return *( int* )&seedValue;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,68 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="SignOf.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.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static unsafe partial class Scaler
|
||||
{
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static unsafe int SignOf( float x )
|
||||
{
|
||||
if( x == 0 ) {
|
||||
return 0;
|
||||
}
|
||||
if( x > 0 ) {
|
||||
return 1;
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static unsafe int SignOf( int x )
|
||||
{
|
||||
if( x == 0 ) {
|
||||
return 0;
|
||||
}
|
||||
if( x > 0 ) {
|
||||
return 1;
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,71 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Sin.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.Net.NetworkInformation;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static partial class Scaler
|
||||
{
|
||||
|
||||
public const float Pi = 3.1415926f;
|
||||
|
||||
private static readonly float[] cosData = {
|
||||
1f, 0.987688341014302f, 0.951056517951169f, 0.891006527837756f, 0.809017000674805f, 0.707106790659974f, 0.587785265298989f, 0.453990516451646f, 0.309017014761716f, 0.156434488858737f, 2.67948965850537E-08f, -0.156434435928723f, -0.309016963794794f, -0.453990468702791f, -0.587785221943935f, -0.707106752766267f, -0.809016969175515f, -0.891006503508499f, -0.951056501391011f, -0.98768833263101f, -0.999999999999999f, -0.987688349397591f, -0.951056534511324f, -0.891006552167012f, -0.809017032174094f, -0.707106828553679f, -0.587785308654041f, -0.4539905642005f, -0.309017065728638f, -0.156434541788751f, -8.03846893110719E-08f, 0.156434382998709f, 0.309016912827872f, 0.453990420953934f, 0.58778517858888f, 0.707106714872559f, 0.809016937676222f, 0.891006479179238f, 0.951056484830851f, 0.987688324247716f,
|
||||
};
|
||||
|
||||
private static readonly float[] sinData = {
|
||||
0f, 0.15643446239373f, 0.309016989278255f, 0.453990492577218f, 0.587785243621462f, 0.707106771713121f, 0.80901698492516f, 0.891006515673128f, 0.951056509671091f, 0.987688336822657f, 1f, 0.987688345205947f, 0.951056526231247f, 0.891006540002384f, 0.80901701642445f, 0.707106809606826f, 0.587785286976515f, 0.453990540326073f, 0.309017040245177f, 0.156434515323744f, 5.35897931701074E-08f, -0.156434409463716f, -0.309016938311333f, -0.453990444828362f, -0.587785200266408f, -0.707106733819413f, -0.809016953425868f, -0.891006491343869f, -0.951056493110931f, -0.987688328439363f, -0.999999999999997f, -0.987688353589235f, -0.951056542791401f, -0.891006564331638f, -0.809017047923737f, -0.70710684750053f, -0.587785330331566f, -0.453990588074927f, -0.309017091212098f, -0.156434568253757f,
|
||||
};
|
||||
|
||||
[MethodImpl( MethodImplOptions.AggressiveInlining )]
|
||||
public static unsafe float Sin( float x )
|
||||
{
|
||||
/*
|
||||
float refer = x / 360.0f;
|
||||
refer -= (int)refer;
|
||||
|
||||
refer *= 40;
|
||||
int a = (int)refer; //大分度，查表
|
||||
refer -= a; //小分度，拟合
|
||||
|
||||
float refer2 = refer * refer;
|
||||
|
||||
|
||||
return (sinData[a] * ((1 - (0.0123370055f * refer2)) + (2.536695709e-5f * refer2 * refer2)))
|
||||
+ (cosData[a] * ((0.1570796327f * refer) - (6.459640975e-4f * refer * refer2)));
|
||||
*/
|
||||
return MathF.Sin( x );
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,109 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// 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 )
|
||||
{
|
||||
/*
|
||||
* 本方法采用分别对指数和小数处理的方法计算平方根
|
||||
* 将指数除以2即可获得结果的指数
|
||||
* （补充：指数最低位被加到小数位中以抵消一个多余的2 ^ 1的影响）
|
||||
* 小数部分则统一乘以2 ^ 16后由y = Sqrt(x)在1.5 * 2 ^ 16处的切线近似
|
||||
* 为简化操作，提高计算速度，切线左界被移动到远点
|
||||
* 在进一步简化操作后，计算精度达到0.5%，速度约为.Net库函数的3倍
|
||||
*/
|
||||
|
||||
if( x < 0 ) {
|
||||
throw new ArgumentOutOfRangeException(
|
||||
"Input is smaller than zero!" );
|
||||
}
|
||||
if( x == 0 ) {
|
||||
return 0;
|
||||
}
|
||||
/*
|
||||
* 提取指数位并减半
|
||||
* 由于平方根仅对正数有效
|
||||
* 故不考虑正负号
|
||||
*/
|
||||
|
||||
if( x < 0 ) {
|
||||
throw new ArgumentOutOfRangeException();
|
||||
}
|
||||
if( x <= 1e-12 ) {
|
||||
return 0;
|
||||
}
|
||||
|
||||
//提取指数位并减去指数位中的127
|
||||
//由于平方根仅对正数有效
|
||||
//故不考虑正负号
|
||||
uint a = *( uint* )&x;
|
||||
uint f = a;
|
||||
f >>= 23;
|
||||
f /= 2;
|
||||
f += 64;
|
||||
|
||||
//提取小数位
|
||||
//由于平方根仅对正数有效
|
||||
//故不考虑正负号
|
||||
|
||||
a -= 0b_0011_1111_0000_0000_0000_0000_0000_0000;
|
||||
uint e = a << 8;
|
||||
e >>= 8;
|
||||
|
||||
//线性近似
|
||||
e *= 0b_1101_0001;
|
||||
e >>= 24;
|
||||
e += 0b_0000_0000_0001_0000_1010_1000_1110_0010;
|
||||
|
||||
//还原指数
|
||||
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 );
|
||||
/**/
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,55 @@
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
// file="Tan.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.
|
||||
//
|
||||
//-----------------------------------------------------------------------
|
||||
//-----------------------------------------------------------------------
|
||||
namespace StgSharp.Math
|
||||
{
|
||||
public static partial class Scaler
|
||||
{
|
||||
|
||||
public static float Tan( float x )
|
||||
{
|
||||
float refer = x / 360.0f;
|
||||
refer -= ( int )refer;
|
||||
|
||||
refer *= 40;
|
||||
int a = ( int )refer; //大分度，查表
|
||||
refer -= a; //小分度，拟合
|
||||
|
||||
float refer2 = refer * refer;
|
||||
|
||||
float sin = ( 0.1570796327f * refer ) - ( 6.459640975e-4f * refer * refer2 );
|
||||
float cos = ( 1 - ( 0.0123370055f * refer2 ) ) + ( 2.536695709e-5f * refer2 * refer2 );
|
||||
|
||||
return ( ( sinData[ a ] * cos ) + ( cosData[ a ] * sin ) ) / ( ( cosData[
|
||||
a ] * cos ) - ( sinData[ a ] * sin ) );
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user