arrange of proj structure

2026-02-27 17:09:13 +08:00
parent 15434ed053
commit a798ab07f1
173 changed files with 32304 additions and 33955 deletions
@@ -0,0 +1,121 @@
+//-----------------------------------------------------------------------
+// -----------------------------------------------------------------------
+// file="Pow"
+// Project: StgSharp
+// AuthorGroup: Nitload
+// Copyright (c) Nitload. 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.Runtime.CompilerServices;
+
+namespace StgSharp.Mathematics
+{
+    public static unsafe partial class Scalar
+    {
+
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static unsafe float Pow(float x, float y)
+        {
+            return System.MathF.Pow(x, y);
+        }
+
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static unsafe double Pow(double x, double y)
+        {
+            return System.Math.Pow(x, y);
+        }
+
+        /// <summary>
+        ///   calculate the value of x^y
+        /// </summary>
+        /// <param _label="x">
+        ///
+        /// </param>
+        /// <param _label="y">
+        ///
+        /// </param>
+        /// <returns>
+        ///   Returns the value of x^y
+        /// </returns>
+        public static unsafe float PowSlow(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 = Scalar.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;
+        }
+
+    }
+}