daily update on 20230205 by nitload youmu

This commit is contained in:
Nitload
2023-02-05 23:46:24 +08:00
parent 19a1420b2f
commit 175f76ef29
33 changed files with 183 additions and 9 deletions
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+77
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@@ -0,0 +1,77 @@
using System;
using System.Collections.Generic;
using System.Text;
namespace StgSharp
{
public static unsafe partial class Math
{
public static unsafe float ACos(float x)
{
int sign = 1;
float y;
if (x < 0)
{
sign = -1;
y = -x;
}
else
{
y = x;
}
if (x > 1)
{
throw new ArgumentException();
}
float r, s, u, v = 0.0f;
bool transform = (y >= 0.5f);
if (transform)
{
r = 0.5f * (1.0f - y);
s = StgSharp.Math.Sqrt(r);
y = s;
}
else
{
r = y * y;
}
u = r * (0.184161606965100694821398249421F +
(-0.0565298683201845211985026327361F +
(-0.0133819288943925804214011424456F -
0.00396137437848476485201154797087F * r) * r) * r) /
(1.10496961524520294485512696706F -
0.836411276854206731913362287293F * r);
/**/
if (transform)
{
float c, s1, p, q;
uint us;
us = *(uint*)&s;
uint uss = us & 0xffff0000;
s1 = *(float*)&uss;
c = (r - s1 * s1) / (s + s1);
p = 2.0F * s * u - (piby2_tail - 2.0F * c);
q = hpiby2_head - 2.0F * s1;
v = hpiby2_head - (p - q);
}
else
{
v = y + y * u;
}/**/
v = sign * v * 90 / piby2;
return 90-v;
}
}
}
+1 -1
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@@ -13,7 +13,7 @@ namespace StgSharp
public static unsafe partial class Math
{
const float
private const float
piby2_tail = 7.5497894159e-08f, /* 0x33a22168 */
hpiby2_head = 7.8539812565e-01f, /* 0x3f490fda */
piby2 = 1.5707963705e+00f; /* 0x3fc90fdb */
+76
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@@ -0,0 +1,76 @@
using System;
using System.Collections.Generic;
using System.Text;
namespace StgSharp
{
public static unsafe partial class Math
{
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
{
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;
}
}
}
@@ -12,6 +12,13 @@
<returns></returns>
<exception cref="T:System.ArgumentException"></exception>
</member>
<member name="M:StgSharp.Math.Exp(System.Single)">
<summary>
Get the value of E ^ x;
</summary>
<param name="x"></param>
<returns></returns>
</member>
<member name="M:StgSharp.Math.GetBits32(System.Single)">
<summary>
Get the bits of a float number
@@ -1 +1 @@
d6533ff9d6a5f9bebff84d6c130d7f9b4e85612a
57d2afd7a707b689bdeb3640509f8f39355cee04
@@ -12,6 +12,13 @@
<returns></returns>
<exception cref="T:System.ArgumentException"></exception>
</member>
<member name="M:StgSharp.Math.Exp(System.Single)">
<summary>
Get the value of E ^ x;
</summary>
<param name="x"></param>
<returns></returns>
</member>
<member name="M:StgSharp.Math.GetBits32(System.Single)">
<summary>
Get the bits of a float number
+7 -7
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@@ -12,7 +12,7 @@ internal class Program
/**/
/*
float test = StgSharp.Math.Pow(4.0f,0.125f);
float test = StgSharp.Math.ACos(0.5f);
Console.WriteLine(test);
/**/
@@ -26,7 +26,7 @@ internal class Program
stopwatch.Start(); // 开始监视代码运行时间
for (float i = 2; i < time; i++)
{
a = StgSharp.Math.Pow(i, i);
a = StgSharp.Math.ACos(i/500000-1);
}
stopwatch.Stop(); // 停止监视
TimeSpan timespan = stopwatch.Elapsed; // 获取当前实例测量得出的总时间
@@ -40,7 +40,7 @@ internal class Program
stopwatch1.Start();
for (float i = 2; i < time2; i++)
{
b = System.MathF.Pow(i, i);
b = System.MathF.Acos(i / 500000 - 1);
}
stopwatch1.Stop();
timespan = stopwatch1.Elapsed;
@@ -51,14 +51,14 @@ internal class Program
/**/
/*
//精度测试
double accuracy = 0;
for (float i = -10f; i < 2000f; i += 0.01f)
for (float i = -10f; i < 200f; i += 0.01f)
{
double r1 = StgSharp.Math.Pow(2,i);
double r2 = System.Math.Pow(2,i);
double r1 = StgSharp.Math.ACos(i/100);
double r2 = 180*System.Math.Acos(i/100)/3.1415926;
double ac = ( System.Math.Max(r1,r2)- System.Math.Min(r1, r2) ) / r2;
if (ac>accuracy)
{
@@ -12,6 +12,13 @@
<returns></returns>
<exception cref="T:System.ArgumentException"></exception>
</member>
<member name="M:StgSharp.Math.Exp(System.Single)">
<summary>
Get the value of E ^ x;
</summary>
<param name="x"></param>
<returns></returns>
</member>
<member name="M:StgSharp.Math.GetBits32(System.Single)">
<summary>
Get the bits of a float number