MulAvailable
This commit is contained in:
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//-----------------------------------------------------------------------
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// -----------------------------------------------------------------------
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// file="Camera"
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// Project: StgSharp
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// AuthorGroup: Nitload
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// Copyright (c) Nitload. All rights reserved.
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// 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:
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//
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// The above copyright notice and this permission notice shall be included in all
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// copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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// SOFTWARE.
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//
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// -----------------------------------------------------------------------
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// -----------------------------------------------------------------------
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using StgSharp.Graphics.OpenGL;
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using StgSharp.Graphics.ShaderEdit;
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using System;
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namespace StgSharp.Mathematics.Graphic
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{
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public sealed class Camera : IglConvertable
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{
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private bool _isLookAtAvailable;
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internal Matrix44 _lookAt;
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internal Matrix44 _projection;
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internal Matrix44 cameraAtt;
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internal Matrix44 rotation;
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internal Matrix44 rotationAtt;
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internal Radius _pitch;
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internal Radius _row;
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internal Radius _yaw;
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internal Uniform<Matrix44> convertedUniform;
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internal Vec3 _target, up;
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public Camera()
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{
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cameraAtt = Matrix44.Unit;
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_target = Vec3.Zero;
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up = Vec3.Zero;
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_isLookAtAvailable = false;
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_lookAt = Matrix44.Unit;
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rotationAtt = Matrix44.Unit;
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_projection = new Matrix44();
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}
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public Camera(Vec3 position, Vec3 target, Vec3 up)
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: this()
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{
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rotationAtt = Matrix44.Unit;
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cameraAtt = new Matrix44();
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SetViewDirection(position, target, up);
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_pitch = Radius.Zero;
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_row = Radius.Zero;
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_yaw = Radius.Zero;
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}
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public Matrix44 Projection => _projection;
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public Matrix44 View
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{
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get
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{
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if (_isLookAtAvailable) {
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return _lookAt;
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}
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Matrix44 move = Matrix44.Unit;
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move.column[3].vec -= cameraAtt.column[3].vec;
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_lookAt = rotationAtt.Transpose * move;
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_isLookAtAvailable = true;
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return _lookAt;
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}
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}
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public Matrix44 CameraMatrix()
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{
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return Projection * View;
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}
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public void DisplayGLtypeDefinition()
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{
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Console.WriteLine("uniform matrix4x4 cameraName;");
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}
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/// <summary>
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/// Get all uniform related to this <see cref="Camera" />.
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/// </summary>
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/// <param _label="source">
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/// Shader program requires this camera.
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/// </param>
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/// <param _label="uniformName">
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/// ContextName of all related uniforms. If you fallow form from <see
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/// cref="IglConvertable.DisplayGLtypeDefinition" />
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/// </param>
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/// <exception cref="ArgumentException">
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///
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/// </exception>
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public unsafe void GainAllUniforms(ShaderProgram source, params string[] uniformName)
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{
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if (uniformName is null || uniformName.Length != 1) {
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throw new ArgumentException(
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"Camera needs exactly one uniform.", nameof(uniformName));
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}
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convertedUniform = source.GetUniform<Matrix44>(uniformName[0]);
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}
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public void MoveNear(float distance)
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{
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cameraAtt.column[3].Z -= distance;
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_isLookAtAvailable = false;
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}
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public void MoveRight(float distance)
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{
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cameraAtt.column[3].X -= distance;
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_isLookAtAvailable = false;
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}
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public void MoveUp(float distance)
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{
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cameraAtt.column[3].Y -= distance;
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_isLookAtAvailable = false;
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}
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public unsafe void SetAllUniforms()
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{
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// Console.WriteLine(Projection * ViewBase);
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OpenGLFunction.CurrentGL.SetUniformValue(convertedUniform, Projection * View);
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}
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public void SetViewDirection(Vec3 position, Vec3 target, Vec3 up)
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{
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Vec3 direction = position - target;
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if ((position.reg == cameraAtt.column[3].reg) &&
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(this.up == up) &&
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(cameraAtt.column[3].reg == direction.reg)) {
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return;
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}
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if (direction.GetLength() == 0)
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{
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// deadlock
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throw new ArgumentException("Direction bust is not zero.");
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}
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if (Vec3.IsParallel(direction, up)) {
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throw new ArgumentException("Direction and UP is on on same way");
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}
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_target = direction;
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this.up = up;
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_isLookAtAvailable = false;
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direction.Orthogonalize(ref up);
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Vec3 right = Linear.Orthogonalize(Linear.Cross(up, direction));
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cameraAtt.column[0].reg = right.reg;
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cameraAtt.column[1].reg = up.reg;
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cameraAtt.column[2].reg = direction.reg;
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cameraAtt.column[3].reg = position.reg;
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InternalPitch();
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InternalRow();
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InternalYaw();
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}
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public void SetViewRange(
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Radius fovRadius,
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Vec2 size,
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Vec2 offset,
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(float front, float back) depthRange)
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{
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float
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distance = _target.GetLength(),
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near = distance - depthRange.front,
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far = distance + depthRange.back,
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offsetX = offset.X,
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offsetY = offset.Y,
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width = Scalar.Abs(GeometryScaler.Tan(fovRadius / 2) * near * 2),
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height = width * size.Y / size.X;
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_projection.column[0].X = 2 * near / width;
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_projection.column[1].Y = 2 * near / height;
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_projection.column[2].X = 2 * offsetX / width;
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_projection.column[2].Y = 2 * offsetY / height;
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_projection.column[2].Z = (far + near) / (near - far);
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_projection.column[2].W = -1;
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_projection.column[3].Z = 2 * near * far / (near - far);
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}
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public void Test(params Vec4[] vec)
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{
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Console.WriteLine(View);
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Console.WriteLine(Projection);
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Console.WriteLine(Projection * View);
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Console.WriteLine(View);
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foreach (Vec4 item in vec) {
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Console.Write($"{Projection * View * item};");
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}
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}
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ShaderStruct IglConvertable.GetConvertedGLtype()
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{
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throw new NotImplementedException();
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}
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~Camera() { }
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#region rotation
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public void Yaw(Radius r)
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{
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_yaw -= r;
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// Console.WriteLine(_yaw._radius);
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// Console.WriteLine(rotationAtt);
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InternalYaw();
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}
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public void Pitch(Radius r)
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{
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_pitch -= r;
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// Console.WriteLine(_pitch._radius);
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// Console.WriteLine(rotationAtt);
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InternalPitch();
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}
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public void Row(Radius r)
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{
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_row -= r;
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// Console.WriteLine(_row._radius);
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// Console.WriteLine(rotationAtt);
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InternalRow();
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}
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internal void InternalPitch()
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{
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/*
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_isLookAtAvailable = false;
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Matrix32 partialCoord = new Matrix32(cameraAtt.colum1.vec, cameraAtt.colum2.vec);
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float angle = _pitch._radius;
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Matrix22 rotation = new Matrix22(
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Scaler.Cos(angle), -Scaler.Sin(angle), Scaler.Sin(angle), Scaler.Cos(angle));
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partialCoord *= rotation;
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rotationAtt.colum1.reg = partialCoord.colum0.reg;
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rotationAtt.colum2.reg = partialCoord.colum1.reg;
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rotationAtt.isTransposed = false;
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/**/
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}
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internal void InternalRow()
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{
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/*
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_isLookAtAvailable = false;
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Matrix32 partialCoord = new Matrix32(cameraAtt.colum0.vec, cameraAtt.colum1.vec);
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float angle = _row._radius;
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Matrix22 rotation = new Matrix22(
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Scaler.Cos(angle), -Scaler.Sin(angle), Scaler.Sin(angle), Scaler.Cos(angle));
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partialCoord *= rotation;
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rotationAtt.colum0.reg = partialCoord.colum0.reg;
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rotationAtt.colum1.reg = partialCoord.colum1.reg;
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rotationAtt.isTransposed = false;
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*/
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}
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internal void InternalYaw()
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{
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/*
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_isLookAtAvailable = false;
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Matrix32 partialCoord = new Matrix32(cameraAtt.colum0.vec, cameraAtt.colum2.vec);
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float angle = _yaw._radius;
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Matrix22 rotation = new Matrix22(
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Scaler.Cos(angle), -Scaler.Sin(angle), Scaler.Sin(angle), Scaler.Cos(angle));
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partialCoord *= rotation;
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rotationAtt.colum0.reg = partialCoord.colum0.reg;
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rotationAtt.colum2.reg = partialCoord.colum1.reg;
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rotationAtt.isTransposed = false;
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*/
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}
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#endregion
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}
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}
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@@ -0,0 +1,253 @@
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//-----------------------------------------------------------------------
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// -----------------------------------------------------------------------
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// file="Matrix44"
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// Project: StgSharp
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// AuthorGroup: Nitload
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// Copyright (c) Nitload. All rights reserved.
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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||||
// 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.
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||||
//
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||||
// 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
|
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// SOFTWARE.
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//
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// -----------------------------------------------------------------------
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// -----------------------------------------------------------------------
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using StgSharp.HighPerformance;
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using StgSharp.Mathematics.Numeric;
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using System;
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using System.Collections;
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using System.Collections.Generic;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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using System.Runtime.InteropServices;
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namespace StgSharp.Mathematics.Graphic
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{
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[StructLayout(LayoutKind.Explicit, Size = (2 * 16 * sizeof(float)) + sizeof(bool), Pack = 16)]
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public unsafe struct Matrix44 : IEquatable<Matrix44>, IMatrix<float>, IEnumerable<Vec4>
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{
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[FieldOffset(0 * sizeof(float))] internal Column column;
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[FieldOffset(0)] internal ColumnSet4 mat;
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[FieldOffset(0)] internal MatrixKernel<float> kernel;
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internal Matrix44(ColumnSet4 mat)
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{
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Unsafe.SkipInit(out this);
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this.mat = mat;
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}
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internal Matrix44(Vector4 vec0, Vector4 vec1, Vector4 vec2, Vector4 vec3)
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{
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Unsafe.SkipInit(out this);
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mat.colum0 = vec0;
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mat.colum1 = vec1;
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mat.colum2 = vec2;
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mat.colum3 = vec3;
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}
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public Matrix44()
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{
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Unsafe.SkipInit(out this);
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}
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public unsafe Matrix44(
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float a00,
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float a01,
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float a02,
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float a03,
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float a10,
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float a11,
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float a12,
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float a13,
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float a20,
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float a21,
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float a22,
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float a23,
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float a30,
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float a31,
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float a32,
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float a33)
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{
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Unsafe.SkipInit(out this);
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mat.colum0 = new Vector4(a00, a10, a20, a30);
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mat.colum1 = new Vector4(a01, a11, a21, a31);
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mat.colum2 = new Vector4(a02, a12, a22, a32);
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mat.colum3 = new Vector4(a03, a13, a23, a33);
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}
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public unsafe float this[int rowNum, int columNum]
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{
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get
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{
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#if DEBUG
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if (rowNum is > 3 or < 0)
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{
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throw new ArgumentOutOfRangeException(nameof(columNum));
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}
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if (columNum is > 3 or < 0) {
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throw new ArgumentOutOfRangeException(nameof(columNum));
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}
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#endif
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return kernel[rowNum + 4 * columNum];
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}
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set
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{
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#if DEBUG
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if (rowNum is > 3 or < 0)
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{
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throw new ArgumentOutOfRangeException(nameof(columNum));
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}
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if (columNum is > 3 or < 0) {
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throw new ArgumentOutOfRangeException(nameof(columNum));
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}
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#endif
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kernel[rowNum + 4 * columNum] = value;
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}
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}
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public Matrix44 Transpose
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{
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get
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{
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Matrix44 transpose = new();
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InternalTranspose(ref transpose);
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return transpose;
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}
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}
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public static Matrix44 Unit => new Matrix44(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1);
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public static Matrix44 WNegativeUnit => new Matrix44(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0,
|
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0, 0, -1);
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public static Matrix44 XNegativeUnit => new Matrix44(-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0,
|
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0, 0, 1);
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public static Matrix44 YNegativeUnit => new Matrix44(1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0,
|
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0, 0, 1);
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public static Matrix44 ZNegativeUnit => new Matrix44(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0,
|
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0, 0, 1);
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||||
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||||
public ReadOnlySpan<float> AsSpan()
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||||
{
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return MemoryMarshal.CreateReadOnlySpan(ref Unsafe.As<ColumnSet4, float>(ref mat), 16);
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||||
}
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||||
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||||
public override bool Equals(object? obj)
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||||
{
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||||
return obj is Matrix44 x && Equals(x);
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||||
}
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||||
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||||
public bool Equals(Matrix44 other)
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||||
{
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return mat.Equals(other.mat);
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||||
}
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||||
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||||
public override int GetHashCode()
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||||
{
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return HashCode.Combine(mat.colum0.GetHashCode(), mat.colum1.GetHashCode(),
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||||
mat.colum2.GetHashCode(), mat.colum3.GetHashCode());
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||||
}
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||||
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||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
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||||
internal unsafe void InternalTranspose(ref Matrix44 transpose)
|
||||
{
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fixed (MatrixKernel<float>* source = &this.kernel, target = &transpose.kernel) {
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NativeIntrinsic.Intrinsic.f32_buffer_transpose(source, target);
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||||
}
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||||
}
|
||||
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||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
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||||
public static unsafe Matrix44 operator -(Matrix44 left, Matrix44 right)
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||||
{
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Matrix44 ret = new();
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||||
NativeIntrinsic.Intrinsic.f32_buffer_sub(&left, &right, &ret, 1);
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||||
return ret;
|
||||
}
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||||
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||||
public static bool operator !=(Matrix44 left, Matrix44 right)
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||||
{
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||||
return !(left == right);
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||||
}
|
||||
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||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
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||||
public static unsafe Matrix44 operator *(Matrix44 mat, float value)
|
||||
{
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||||
return new Matrix44(mat.mat.colum0 * value, mat.mat.colum1 * value,
|
||||
mat.mat.colum2 * value, mat.mat.colum3 * value);
|
||||
}
|
||||
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||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
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||||
public static Matrix44 operator *(Matrix44 left, Matrix44 right)
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||||
{
|
||||
Matrix44 transpose = left.Transpose;
|
||||
return new Matrix44(Vector4.Dot(transpose.mat.colum0, right.mat.colum0),
|
||||
Vector4.Dot(transpose.mat.colum0, right.mat.colum1),
|
||||
Vector4.Dot(transpose.mat.colum0, right.mat.colum2),
|
||||
Vector4.Dot(transpose.mat.colum0, right.mat.colum3),
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||||
Vector4.Dot(transpose.mat.colum1, right.mat.colum0),
|
||||
Vector4.Dot(transpose.mat.colum1, right.mat.colum1),
|
||||
Vector4.Dot(transpose.mat.colum1, right.mat.colum2),
|
||||
Vector4.Dot(transpose.mat.colum1, right.mat.colum3),
|
||||
Vector4.Dot(transpose.mat.colum2, right.mat.colum0),
|
||||
Vector4.Dot(transpose.mat.colum2, right.mat.colum1),
|
||||
Vector4.Dot(transpose.mat.colum2, right.mat.colum2),
|
||||
Vector4.Dot(transpose.mat.colum2, right.mat.colum3),
|
||||
Vector4.Dot(transpose.mat.colum3, right.mat.colum0),
|
||||
Vector4.Dot(transpose.mat.colum3, right.mat.colum1),
|
||||
Vector4.Dot(transpose.mat.colum3, right.mat.colum2),
|
||||
Vector4.Dot(transpose.mat.colum3, right.mat.colum3));
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static unsafe Matrix44 operator +(Matrix44 left, Matrix44 right)
|
||||
{
|
||||
Matrix44 ret = new();
|
||||
NativeIntrinsic.Intrinsic.f32_buffer_add(&left, &right, &ret, 1);
|
||||
return ret;
|
||||
}
|
||||
|
||||
public static bool operator ==(Matrix44 left, Matrix44 right)
|
||||
{
|
||||
return left.Equals(right);
|
||||
}
|
||||
|
||||
IEnumerator IEnumerable.GetEnumerator()
|
||||
{
|
||||
throw new NotImplementedException();
|
||||
}
|
||||
|
||||
IEnumerator<Vec4> IEnumerable<Vec4>.GetEnumerator()
|
||||
{
|
||||
for (int i = 0; i < 4; i++) {
|
||||
yield return column[i];
|
||||
}
|
||||
}
|
||||
|
||||
[InlineArray(4)]
|
||||
internal struct Column
|
||||
{
|
||||
|
||||
private Vec4 value;
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
@@ -0,0 +1,162 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vec2"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using StgSharp.Mathematics.Numeric;
|
||||
using System.Net.Http.Headers;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
/// <summary>
|
||||
/// A two dimension vector defined by two elements. Vec2 in World are default used as colum
|
||||
/// vector.
|
||||
/// </summary>
|
||||
[StructLayout(LayoutKind.Explicit, Size = 16, Pack = 16)]
|
||||
public struct Vec2 : IUnmanagedVector<Vec2>
|
||||
{
|
||||
|
||||
[FieldOffset(0)] internal unsafe fixed float num[2];
|
||||
|
||||
[FieldOffset(0)]
|
||||
internal M128 reg;
|
||||
|
||||
[FieldOffset(0)]
|
||||
internal Vector2 v;
|
||||
|
||||
[FieldOffset(0)]
|
||||
public float X;
|
||||
[FieldOffset(4)]
|
||||
public float Y;
|
||||
|
||||
internal Vec2(Vector2 vec)
|
||||
{
|
||||
Unsafe.SkipInit(out reg);
|
||||
Unsafe.SkipInit(out X);
|
||||
Unsafe.SkipInit(out Y);
|
||||
v = vec;
|
||||
}
|
||||
|
||||
internal Vec2(M128 vec)
|
||||
{
|
||||
Unsafe.SkipInit(out reg);
|
||||
Unsafe.SkipInit(out X);
|
||||
Unsafe.SkipInit(out Y);
|
||||
reg = vec;
|
||||
reg.Member<ulong>(1) = 0;
|
||||
}
|
||||
|
||||
public Vec2(float x, float y)
|
||||
{
|
||||
v = new Vector2(x, y);
|
||||
}
|
||||
|
||||
public static Vec2 Unit => new Vec2(1, 1);
|
||||
|
||||
public static Vec2 Zero => new Vec2(0, 0);
|
||||
|
||||
public static Vec2 One
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new Vec2(1, 1);
|
||||
}
|
||||
|
||||
public Vec2 XY
|
||||
{
|
||||
readonly get => this;
|
||||
set => this = value;
|
||||
}
|
||||
|
||||
public Vec3 XYZ
|
||||
{
|
||||
readonly get => new(reg);
|
||||
set
|
||||
{
|
||||
reg = value.reg;
|
||||
reg.Member<ulong>(1) = 0;
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public float Cross(Vec2 right)
|
||||
{
|
||||
return X * right.Y - Y * right.X;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public float Dot(Vec2 vec)
|
||||
{
|
||||
return Vector2.Dot(v, vec.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec2 operator -(Vec2 left, Vec2 right)
|
||||
{
|
||||
return new Vec2(left.v - right.v);
|
||||
}
|
||||
|
||||
public static bool operator !=(Vec2 left, Vec2 right)
|
||||
{
|
||||
return !(left == right);
|
||||
}
|
||||
|
||||
public static Vec2 operator *(Vec2 vec, float value)
|
||||
{
|
||||
return new Vec2(vec.v * value);
|
||||
}
|
||||
public static Vec2 operator *(float value, Vec2 vec)
|
||||
{
|
||||
return new Vec2(vec.v * value);
|
||||
}
|
||||
|
||||
public static Vec2 operator /(Vec2 vec, float value)
|
||||
{
|
||||
return new Vec2(vec.v / value);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec2 operator +(Vec2 left, Vec2 right)
|
||||
{
|
||||
return new Vec2(left.v + right.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static bool operator ==(Vec2 left, Vec2 right)
|
||||
{
|
||||
return left.v == right.v;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static implicit operator Vec2((float, float) tuple)
|
||||
{
|
||||
return new Vec2(tuple.Item1, tuple.Item2);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,236 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vec3"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using StgSharp.Mathematics.Numeric;
|
||||
using System;
|
||||
using System.Collections;
|
||||
using System.Collections.Generic;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
[CollectionBuilder(typeof(Vec3), nameof(FromSpan))]
|
||||
[StructLayout(LayoutKind.Explicit, Size = 16, Pack = 16)]
|
||||
public struct Vec3 : IEquatable<Vec3>, IUnmanagedVector<Vec3>, IEnumerable<float>
|
||||
{
|
||||
|
||||
[FieldOffset(0)] internal unsafe fixed float num[3];
|
||||
[FieldOffset(0)] internal M128 reg;
|
||||
|
||||
[FieldOffset(0)] internal Vector3 v;
|
||||
|
||||
[FieldOffset(0)] public float X;
|
||||
[FieldOffset(4)] public float Y;
|
||||
[FieldOffset(8)] public float Z;
|
||||
|
||||
internal Vec3(M128 vector)
|
||||
{
|
||||
Unsafe.SkipInit(out this);
|
||||
reg = vector;
|
||||
reg.Member<uint>(3) = 0;
|
||||
}
|
||||
|
||||
internal Vec3(Vector3 vector)
|
||||
{
|
||||
v = vector;
|
||||
}
|
||||
|
||||
public Vec3()
|
||||
{
|
||||
Unsafe.SkipInit(out this);
|
||||
}
|
||||
|
||||
public Vec3(Vec2 xy, float z)
|
||||
{
|
||||
Unsafe.SkipInit(out this);
|
||||
reg = xy.reg;
|
||||
Z = z;
|
||||
}
|
||||
|
||||
public Vec3(float x, float y, float z)
|
||||
{
|
||||
Unsafe.SkipInit(out this);
|
||||
v = new Vector3(x, y, z);
|
||||
}
|
||||
|
||||
public unsafe Vec2 XY
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
readonly get => new(reg);
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
set => Unsafe.As<Vector3, Vector2>(ref v) = value.v;
|
||||
}
|
||||
|
||||
public Vec3 XYZ
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
readonly get => new(v);
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
set => this = value;
|
||||
}
|
||||
|
||||
public static Vec3 Zero => new(0, 0, 0);
|
||||
|
||||
public static Vec3 One => new(1, 1, 1);
|
||||
|
||||
public static Vec3 UnitX => new(1, 0, 0);
|
||||
|
||||
public static Vec3 UnitY => new(0, 1, 0);
|
||||
|
||||
public static Vec3 UnitZ => new(0, 0, 1);
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 Cross(Vec3 left, Vec3 right)
|
||||
{
|
||||
return Linear.Cross(left, right);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public readonly float Dot(Vec3 right)
|
||||
{
|
||||
return Vector3.Dot(v, right.v);
|
||||
}
|
||||
|
||||
public readonly bool Equals(Vec3 other)
|
||||
{
|
||||
return reg == other.reg;
|
||||
}
|
||||
|
||||
public override readonly bool Equals(object obj)
|
||||
{
|
||||
return obj is not null && obj is Vec3 vec && this == vec;
|
||||
}
|
||||
|
||||
public static Vec3 FromSpan(ReadOnlySpan<float> span)
|
||||
{
|
||||
Vec3 v = new();
|
||||
span.CopyTo(MemoryMarshal.CreateSpan(ref v.X, 3));
|
||||
return v;
|
||||
}
|
||||
|
||||
public unsafe IEnumerator<float> GetEnumerator()
|
||||
{
|
||||
for (int i = 0; i < 3; i++) {
|
||||
yield return reg.Member<float>(i);
|
||||
}
|
||||
}
|
||||
|
||||
public override unsafe int GetHashCode()
|
||||
{
|
||||
fixed (float* add = &X) {
|
||||
return HashCode.Combine(X, Y, Z, (ulong)add);
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public readonly float GetMaxValue()
|
||||
{
|
||||
float ret = X;
|
||||
ret = ret > Y ? ret : Y;
|
||||
ret = ret > Z ? ret : Z;
|
||||
return ret;
|
||||
}
|
||||
|
||||
public static bool IsParallel(Vec3 left, Vec3 right)
|
||||
{
|
||||
return Cross(left, right) == Zero;
|
||||
}
|
||||
|
||||
public override readonly string ToString()
|
||||
{
|
||||
return $"[{X},{Y},{Z}]";
|
||||
}
|
||||
|
||||
public readonly string ToString(string sample)
|
||||
{
|
||||
return $"[{X.ToString(sample)},{Y.ToString(sample)},{Z.ToString(sample)}]";
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 operator -(Vec3 vec)
|
||||
{
|
||||
return new Vec3(-vec.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 operator -(Vec3 left, Vec3 right)
|
||||
{
|
||||
return new Vec3(left.v - right.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static bool operator !=(Vec3 left, Vec3 right)
|
||||
{
|
||||
return left.v != right.v;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 operator *(Vec3 vec, float value)
|
||||
{
|
||||
return new Vec3(vec.v * value);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static float operator *(Vec3 left, Vec3 right)
|
||||
{
|
||||
return Vector3.Dot(left.v, right.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 operator /(Vec3 vec, float value)
|
||||
{
|
||||
return new Vec3(vec.v / value);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec3 operator +(Vec3 left, Vec3 right)
|
||||
{
|
||||
return new Vec3(left.v + right.v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static bool operator ==(Vec3 left, Vec3 right)
|
||||
{
|
||||
return left.v == right.v;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static unsafe implicit operator Vec3((float, float, float) tuple)
|
||||
{
|
||||
return Unsafe.As<(float,float,float), Vec3>(ref tuple);
|
||||
}
|
||||
|
||||
IEnumerator IEnumerable.GetEnumerator()
|
||||
{
|
||||
return GetEnumerator();
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,212 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vec4"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using StgSharp.Internal.Intrinsic;
|
||||
using StgSharp.Mathematics.Numeric;
|
||||
using System;
|
||||
using System.Data.Common;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
[CollectionBuilder(builderType:typeof(Vec4), methodName: nameof(Vec4.FromSpan))]
|
||||
[StructLayout(LayoutKind.Explicit, Size = 16, Pack = 16)]
|
||||
public unsafe struct Vec4 : IEquatable<Vec4>, IUnmanagedVector<Vec4>
|
||||
{
|
||||
|
||||
[FieldOffset(0)] internal unsafe fixed float num[4];
|
||||
|
||||
[FieldOffset(0)] internal M128 reg;
|
||||
|
||||
[FieldOffset(0)] internal Vector4 vec;
|
||||
[FieldOffset(12)] public float W;
|
||||
|
||||
[FieldOffset(0)] public float X;
|
||||
[FieldOffset(4)] public float Y;
|
||||
[FieldOffset(8)] public float Z;
|
||||
|
||||
internal Vec4(Vector4 v)
|
||||
{
|
||||
Unsafe.SkipInit(out X);
|
||||
Unsafe.SkipInit(out Y);
|
||||
Unsafe.SkipInit(out Z);
|
||||
Unsafe.SkipInit(out W);
|
||||
Unsafe.SkipInit(out reg);
|
||||
|
||||
vec = v;
|
||||
}
|
||||
|
||||
internal Vec4(M128 v)
|
||||
{
|
||||
Unsafe.SkipInit(out X);
|
||||
Unsafe.SkipInit(out Y);
|
||||
Unsafe.SkipInit(out Z);
|
||||
Unsafe.SkipInit(out W);
|
||||
Unsafe.SkipInit(out vec);
|
||||
|
||||
reg = v;
|
||||
}
|
||||
|
||||
public Vec4(Vec3 v3, float w)
|
||||
{
|
||||
Unsafe.SkipInit(out X);
|
||||
Unsafe.SkipInit(out Y);
|
||||
Unsafe.SkipInit(out Z);
|
||||
Unsafe.SkipInit(out W);
|
||||
reg = v3.reg;
|
||||
W = w;
|
||||
}
|
||||
|
||||
public Vec4(float x, float y, float z, float w)
|
||||
{
|
||||
vec = new Vector4(x, y, z, w);
|
||||
}
|
||||
|
||||
public unsafe Vec2 XY
|
||||
{
|
||||
get => new Vec2(reg);
|
||||
set
|
||||
{
|
||||
X = value.X;
|
||||
Y = value.Y;
|
||||
}
|
||||
}
|
||||
|
||||
public unsafe Vec3 XYZ
|
||||
{
|
||||
get => new Vec3(reg);
|
||||
set
|
||||
{
|
||||
float w = W;
|
||||
reg = value.reg;
|
||||
W = w;
|
||||
}
|
||||
}
|
||||
|
||||
public static Vec4 One
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new Vec4(1, 1, 1, 1);
|
||||
}
|
||||
|
||||
public static Vec4 Zero
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new Vec4(0, 0, 0, 0);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec4 Add(Vec4 left, Vec4 right)
|
||||
{
|
||||
return left + right;
|
||||
}
|
||||
|
||||
public ReadOnlySpan<float> AsSpan()
|
||||
{
|
||||
return MemoryMarshal.CreateReadOnlySpan(ref reg.Member<float>(0), 4);
|
||||
}
|
||||
|
||||
public override bool Equals(object obj)
|
||||
{
|
||||
return obj is Vec4 v && v == this;
|
||||
}
|
||||
|
||||
public static Vec4 FromSpan(ReadOnlySpan<float> span)
|
||||
{
|
||||
if (span.Length < 4) {
|
||||
throw new ArgumentException("Span length must be at least 4.", nameof(span));
|
||||
}
|
||||
|
||||
// Read 4 floats as a Vector4 in one operation without per-element copy.
|
||||
Vector4 v = MemoryMarshal.Read<Vector4>(MemoryMarshal.AsBytes(span));
|
||||
return new Vec4(v);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public ReadOnlySpan<float>.Enumerator GetEnumerator()
|
||||
{
|
||||
return AsSpan().GetEnumerator();
|
||||
}
|
||||
|
||||
public override int GetHashCode()
|
||||
{
|
||||
return vec.GetHashCode();
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec4 Subtract(Vec4 left, Vec4 right)
|
||||
{
|
||||
return left - right;
|
||||
}
|
||||
|
||||
public override string ToString()
|
||||
{
|
||||
return vec.ToString();
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec4 operator -(Vec4 left, Vec4 right)
|
||||
{
|
||||
return new Vec4(left.vec - right.vec);
|
||||
}
|
||||
|
||||
public static bool operator !=(Vec4 left, Vec4 right)
|
||||
{
|
||||
return !(left == right);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec4 operator *(Matrix44 mat, Vec4 vec)
|
||||
{
|
||||
Matrix44 transpose = mat.Transpose;
|
||||
return new Vec4(Vector4.Dot(transpose.mat.colum0, vec.vec),
|
||||
Vector4.Dot(transpose.mat.colum1, vec.vec),
|
||||
Vector4.Dot(transpose.mat.colum2, vec.vec),
|
||||
Vector4.Dot(transpose.mat.colum3, vec.vec));
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Vec4 operator +(Vec4 left, Vec4 right)
|
||||
{
|
||||
return new Vec4(left.vec + right.vec);
|
||||
}
|
||||
|
||||
public static bool operator ==(Vec4 left, Vec4 right)
|
||||
{
|
||||
return left.vec == right.vec;
|
||||
}
|
||||
|
||||
bool IEquatable<Vec4>.Equals(Vec4 other)
|
||||
{
|
||||
return vec == other.vec;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,49 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vector.Cross"
|
||||
// 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 StgSharp.Mathematics.Graphic;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
public static unsafe partial class Linear
|
||||
{
|
||||
|
||||
public static float Cross(Vec2 vec1, Vec2 vec2)
|
||||
{
|
||||
return (vec1.X * vec2.Y) - (vec1.Y * vec2.X);
|
||||
}
|
||||
|
||||
public static Vec3 Cross(Vec3 vec1, Vec3 vec2)
|
||||
{
|
||||
return new Vec3(
|
||||
(vec1.Y * vec2.Z) - (vec1.Z * vec2.Y),
|
||||
(vec1.X * vec2.Z) - (vec1.Z * vec2.X),
|
||||
(vec1.X * vec2.Y) - (vec1.Y * vec2.X));
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,47 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vector.GetAngle"
|
||||
// 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 StgSharp.Mathematics.Graphic;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
public static unsafe partial class Linear
|
||||
{
|
||||
|
||||
public static float GetAngle(Vec2 vec1, Vec2 vec2)
|
||||
{
|
||||
return Scalar.ACos(
|
||||
1 / (vec1.GetLength() * vec2.GetLength()));
|
||||
}
|
||||
|
||||
public static float GetAngle(Vec3 vec1, Vec3 vec2)
|
||||
{
|
||||
return Scalar.ACos((vec1 * vec2) / (vec1.GetLength() * vec2.GetLength()));
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,46 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vector.GetLength"
|
||||
// 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 StgSharp.Mathematics.Graphic;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
public static unsafe partial class Linear
|
||||
{
|
||||
|
||||
public static float GetLength(this Vec3 vec)
|
||||
{
|
||||
return Scalar.Sqrt(vec.Dot(vec));
|
||||
}
|
||||
|
||||
public static float GetLength(this Vec2 vec)
|
||||
{
|
||||
return Scalar.Sqrt(vec.Dot(vec));
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,82 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vector.Normalize"
|
||||
// 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 StgSharp.Mathematics.Graphic;
|
||||
using System.Numerics;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
public static partial class Linear
|
||||
{
|
||||
|
||||
public static Vec4 Normalize(Vec4 vec)
|
||||
{
|
||||
return new Vec4
|
||||
{
|
||||
vec = Vector4.Normalize(vec.vec)
|
||||
};
|
||||
}
|
||||
|
||||
public static Vec3 Normalize(Vec3 vec)
|
||||
{
|
||||
return new Vec3
|
||||
{
|
||||
v = Vector3.Normalize(vec.v)
|
||||
};
|
||||
}
|
||||
|
||||
public static unsafe void Normalize(ref Vec4 source, ref Vec4 target)
|
||||
{
|
||||
Vector4 s = source.vec;
|
||||
Vector4 t = target.vec;
|
||||
|
||||
s = Vector4.Normalize(s);
|
||||
|
||||
Vector4 projection = Vector4.Multiply(s, t);
|
||||
|
||||
t -= projection;
|
||||
|
||||
source.vec = s;
|
||||
target.vec = t;
|
||||
}
|
||||
|
||||
public static unsafe void Normalize(ref Vec3 source, ref Vec3 target)
|
||||
{
|
||||
Vector3 s = source.v;
|
||||
Vector3 t = target.v;
|
||||
|
||||
s = Vector3.Normalize(s);
|
||||
Vector3 projection = Vector3.Dot(t, s) / Vector3.Dot(s, s) * s;
|
||||
t -= projection;
|
||||
t = Vector3.Normalize(t);
|
||||
|
||||
source.v = s;
|
||||
target.v = t;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,92 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Vector.Orthogonalize"
|
||||
// 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 StgSharp.Mathematics.Graphic;
|
||||
using System.Numerics;
|
||||
|
||||
namespace StgSharp.Mathematics.Graphic
|
||||
{
|
||||
public static partial class Linear
|
||||
{
|
||||
|
||||
public static Vec4 Orthogonalize(this Vec4 vec)
|
||||
{
|
||||
return new Vec4
|
||||
{
|
||||
vec = Vector4.Normalize(vec.vec)
|
||||
};
|
||||
}
|
||||
|
||||
public static Vec3 Orthogonalize(Vec3 vec)
|
||||
{
|
||||
return new Vec3
|
||||
{
|
||||
v = Vector3.Normalize(vec.v)
|
||||
};
|
||||
}
|
||||
|
||||
public static unsafe void Orthogonalize(this Vec4 source, ref Vec4 target)
|
||||
{
|
||||
Vector4 s = source.vec;
|
||||
Vector4 t = target.vec;
|
||||
|
||||
s = Vector4.Normalize(s);
|
||||
|
||||
Vector4 projection = Vector4.Multiply(s, t);
|
||||
|
||||
t -= projection;
|
||||
|
||||
source.vec = s;
|
||||
target.vec = t;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Orthogonalize two <see cref="Vec3" />s, let their length be 1 and perpendicular to
|
||||
/// each other.
|
||||
/// </summary>
|
||||
/// <param _label="source">
|
||||
///
|
||||
/// </param>
|
||||
/// <param _label="target">
|
||||
///
|
||||
/// </param>
|
||||
public static unsafe void Orthogonalize(this Vec3 source, ref Vec3 target)
|
||||
{
|
||||
Vector3 s = source.v;
|
||||
Vector3 t = target.v;
|
||||
|
||||
s = Vector3.Normalize(s);
|
||||
Vector3 projection = Vector3.Dot(t, s) / Vector3.Dot(s, s) * s;
|
||||
t -= projection;
|
||||
t = Vector3.Normalize(t);
|
||||
|
||||
source.v = s;
|
||||
target.v = t;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,38 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Cordination"
|
||||
// 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.
|
||||
//
|
||||
// -----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public enum CoordinatePlain
|
||||
{
|
||||
|
||||
XY,
|
||||
YZ,
|
||||
XZ,
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,45 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="IMatrix"
|
||||
// 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 StgSharp.Graphics;
|
||||
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public interface IMatrix<TElement> where TElement: unmanaged, INumber<TElement>
|
||||
|
||||
{
|
||||
|
||||
ReadOnlySpan<TElement> AsSpan();
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,46 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="IUnmanagedVector"
|
||||
// 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;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public interface IUnmanagedVector<TSelf> where TSelf: unmanaged, IUnmanagedVector<TSelf>
|
||||
{
|
||||
|
||||
public static abstract TSelf Zero { get; }
|
||||
|
||||
public static abstract TSelf One { get; }
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,78 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Matrix"
|
||||
// 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;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
using hlsfAllocator = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocator;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public static class Matrix
|
||||
{
|
||||
|
||||
public static hlsfAllocator? DefaultAllocator
|
||||
{
|
||||
get
|
||||
{
|
||||
ArgumentNullException.ThrowIfNull(field, nameof(DefaultAllocator));
|
||||
return null;
|
||||
}
|
||||
set;
|
||||
} = null;
|
||||
|
||||
public static MatrixAllocation DefaultAllocation { get; set; } = MatrixAllocation.GC;
|
||||
|
||||
public static Matrix<T> FromDefault<T>(int columnLength, int rowLength) where T : unmanaged, INumber<T>
|
||||
{
|
||||
return DefaultAllocation switch
|
||||
{
|
||||
MatrixAllocation.GC => FromGC<T>(columnLength, rowLength),
|
||||
MatrixAllocation.HLSF => FromHlsf<T>(columnLength, rowLength, DefaultAllocator!),
|
||||
_ => throw new NotSupportedException("This allocation is not supported."),
|
||||
};
|
||||
}
|
||||
|
||||
public static Matrix<T> FromGC<T>(int columnLength, int rowLength) where T : unmanaged, INumber<T>
|
||||
{
|
||||
return new GCMatrix<T>(columnLength, rowLength);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static Matrix<T> FromHlsf<T>(int columnLength, int rowLength, hlsfAllocator allocator)
|
||||
where T : unmanaged, INumber<T>
|
||||
{
|
||||
return new HlsfMatrix<T>(columnLength, rowLength, allocator);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,43 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="MatrixEnum"
|
||||
// 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;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public enum MatrixAllocation
|
||||
{
|
||||
|
||||
HLSF,
|
||||
GC,
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,70 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="MatrixIndex"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
[StructLayout(LayoutKind.Sequential)]
|
||||
public readonly struct MatrixIndex
|
||||
{
|
||||
|
||||
public readonly int Begin;
|
||||
public readonly int End;
|
||||
|
||||
private MatrixIndex(int begin, int end, bool safe = false)
|
||||
{
|
||||
Begin = begin;
|
||||
End = end;
|
||||
}
|
||||
|
||||
internal MatrixIndex(int begin, int end)
|
||||
{
|
||||
if (begin > end) {
|
||||
throw new ArgumentException("Begin index cannot be greater than end index.");
|
||||
}
|
||||
|
||||
Begin = begin;
|
||||
End = end;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static implicit operator MatrixIndex((int, int) range)
|
||||
{
|
||||
return new(range.Item1, range.Item2, false);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static implicit operator MatrixIndex(int index)
|
||||
{
|
||||
return new(index, -1, false);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,124 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Matrix_T.GC"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using StgSharp.Mathematics;
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
internal unsafe partial class GCMatrix<T> : Matrix<T> where T : unmanaged, INumber<T>
|
||||
{
|
||||
|
||||
private readonly MatrixKernel<T>* _buffer;
|
||||
|
||||
public GCMatrix(int column, int row)
|
||||
{
|
||||
KernelColumnLength = (column + 3) / 4;
|
||||
KernelRowLength = (row + 3) / t_count;
|
||||
ColumnLength = column;
|
||||
RowLength = row;
|
||||
_buffer = (MatrixKernel<T>*)NativeMemory.AlignedAlloc((nuint)(column * row * sizeof(T)), (nuint)World.DefaultSIMDAlignment);
|
||||
}
|
||||
|
||||
public override ref T this[int column, int row]
|
||||
{
|
||||
get
|
||||
{
|
||||
AssertIndex(column, row);
|
||||
int kernelColumn = column / 4, c = column % 4;
|
||||
int kernelRow = row / t_count, r = row % t_count;
|
||||
ref MatrixKernel<T> kernel = ref _buffer[kernelColumn + KernelColumnLength * kernelRow];
|
||||
return ref kernel[c, r];
|
||||
}
|
||||
}
|
||||
|
||||
public override Matrix<T> this[ReadOnlySpan<MatrixIndex> column, ReadOnlySpan<MatrixIndex> row]
|
||||
{
|
||||
get => throw new NotImplementedException();
|
||||
set => throw new NotImplementedException();
|
||||
}
|
||||
|
||||
internal override unsafe MatrixKernel<T>* Buffer
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => _buffer;
|
||||
}
|
||||
|
||||
public override unsafe ref MatrixKernel<T> GetMatrixKernel(int column, int row)
|
||||
{
|
||||
AssertIndex(column, row);
|
||||
int kernelColumn = column / 4;
|
||||
int kernelRow = row / t_count;
|
||||
return ref _buffer[kernelColumn + (KernelColumnLength * kernelRow)];
|
||||
}
|
||||
|
||||
public override ref T UnsafeIndex(int column, int row)
|
||||
{
|
||||
int kernelColumn = column / 4, c = column % 4;
|
||||
int kernelRow = row / t_count, r = row % t_count;
|
||||
ref MatrixKernel<T> kernel = ref _buffer[kernelColumn + (KernelColumnLength * kernelRow)];
|
||||
return ref kernel[c, r];
|
||||
}
|
||||
|
||||
~GCMatrix()
|
||||
{
|
||||
NativeMemory.AlignedFree(_buffer);
|
||||
}
|
||||
|
||||
#region enumeration
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> ColumnEnumeration
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new MatrixSegmentEnumeration<T>(_buffer, KernelColumnLength, KernelColumnLength * KernelRowLength, 1,
|
||||
KernelColumnLength);
|
||||
}
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> GetRowEnumeration()
|
||||
{
|
||||
return new MatrixSegmentEnumeration<T>(_buffer, 1, KernelColumnLength, KernelColumnLength, KernelRowLength);
|
||||
}
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> SequentialEnumeration
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new MatrixSegmentEnumeration<T>(_buffer, KernelRowLength * KernelColumnLength,
|
||||
KernelColumnLength * KernelRowLength, 1,
|
||||
KernelRowLength * KernelColumnLength);
|
||||
}
|
||||
|
||||
#endregion
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,130 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Matrix_T.HLSF"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
using hlsfAllocator = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocator;
|
||||
using hlsfHandle = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocationHandle;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
internal unsafe partial class HlsfMatrix<T> : Matrix<T> where T : unmanaged, INumber<T>
|
||||
{
|
||||
|
||||
private readonly MatrixKernel<T>* k_buffer;
|
||||
private readonly hlsfAllocator allocator;
|
||||
private readonly hlsfHandle handle;
|
||||
|
||||
internal HlsfMatrix(int column, int row, hlsfAllocator allocator)
|
||||
{
|
||||
KernelColumnLength = (column + 3) / 4;
|
||||
KernelRowLength = (row + 3) / t_count;
|
||||
ColumnLength = column;
|
||||
RowLength = row;
|
||||
this.handle = allocator.Alloc((uint)(KernelColumnLength * KernelRowLength * sizeof(MatrixKernel<T>)));
|
||||
k_buffer = (MatrixKernel<T>*)handle.Pointer;
|
||||
}
|
||||
|
||||
public override ref T this[int column, int row]
|
||||
{
|
||||
get
|
||||
{
|
||||
AssertIndex(column, row);
|
||||
int kernelColumn = column / 4, c = column % 4;
|
||||
int kernelRow = row / t_count, r = row % t_count;
|
||||
ref MatrixKernel<T> kernel = ref k_buffer[(kernelColumn * kernelColumn) + kernelRow];
|
||||
return ref kernel[c, r];
|
||||
}
|
||||
}
|
||||
|
||||
public override Matrix<T> this[ReadOnlySpan<MatrixIndex> column, ReadOnlySpan<MatrixIndex> row]
|
||||
{
|
||||
get => throw new NotImplementedException();
|
||||
set => throw new NotImplementedException();
|
||||
}
|
||||
|
||||
internal override unsafe MatrixKernel<T>* Buffer
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => k_buffer;
|
||||
}
|
||||
|
||||
public override unsafe ref MatrixKernel<T> GetMatrixKernel(int column, int row)
|
||||
{
|
||||
AssertIndex(column, row);
|
||||
int kernelColumn = column / 4, c = column % 4;
|
||||
int kernelRow = row / t_count, r = row % t_count;
|
||||
return ref k_buffer[(kernelColumn * kernelColumn) + kernelRow];
|
||||
}
|
||||
|
||||
public override ref T UnsafeIndex(int column, int row)
|
||||
{
|
||||
int kernelColumn = column / 4, c = column % 4;
|
||||
int kernelRow = row / t_count, r = row % t_count;
|
||||
ref MatrixKernel<T> kernel = ref k_buffer[(kernelColumn * kernelColumn) + kernelRow];
|
||||
return ref kernel[c, r];
|
||||
}
|
||||
|
||||
~HlsfMatrix()
|
||||
{
|
||||
allocator.Free(handle);
|
||||
}
|
||||
|
||||
#region enumeration
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> ColumnEnumeration
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new MatrixSegmentEnumeration<T>(k_buffer, KernelColumnLength, KernelColumnLength * KernelRowLength,
|
||||
1, KernelColumnLength);
|
||||
}
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> GetRowEnumeration()
|
||||
{
|
||||
return new MatrixSegmentEnumeration<T>(k_buffer, 1, KernelColumnLength, KernelColumnLength,
|
||||
KernelRowLength);
|
||||
}
|
||||
|
||||
public override unsafe MatrixSegmentEnumeration<T> SequentialEnumeration
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
|
||||
get => new MatrixSegmentEnumeration<T>(k_buffer, KernelRowLength * KernelColumnLength,
|
||||
KernelColumnLength * KernelRowLength, 1,
|
||||
KernelRowLength * KernelColumnLength);
|
||||
}
|
||||
|
||||
#endregion
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,218 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Matrix_T"
|
||||
// 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 StgSharp.HighPerformance;
|
||||
using System;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
// using hlsfHandle = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocationHandle;
|
||||
|
||||
namespace StgSharp.Mathematics.Numeric
|
||||
{
|
||||
public abstract unsafe partial class Matrix<T> where T : unmanaged, INumber<T>
|
||||
{
|
||||
|
||||
private protected readonly int t_count = 16 / sizeof(T);
|
||||
|
||||
private protected readonly int t_size = sizeof(T);
|
||||
|
||||
private protected Matrix() { }
|
||||
|
||||
public abstract ref T this[int column, int row]
|
||||
{
|
||||
get;
|
||||
}
|
||||
|
||||
public abstract unsafe Matrix<T> this[ReadOnlySpan<MatrixIndex> column, ReadOnlySpan<MatrixIndex> row]
|
||||
{
|
||||
get;
|
||||
set;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Length of the matrix in columns.
|
||||
/// </summary>
|
||||
public int ColumnLength { get; init; }
|
||||
|
||||
/// <summary>
|
||||
/// Length of the matrix in rows.
|
||||
/// </summary>
|
||||
public int RowLength { get; init; }
|
||||
|
||||
public abstract MatrixSegmentEnumeration<T> ColumnEnumeration { get; }
|
||||
|
||||
public abstract MatrixSegmentEnumeration<T> SequentialEnumeration { get; }
|
||||
|
||||
internal abstract MatrixKernel<T>* Buffer { get; }
|
||||
|
||||
protected internal int KernelColumnLength { get; init; }
|
||||
|
||||
protected internal int KernelRowLength { get; init; }
|
||||
|
||||
public abstract ref MatrixKernel<T> GetMatrixKernel(int column, int row);
|
||||
|
||||
public abstract MatrixSegmentEnumeration<T> GetRowEnumeration();
|
||||
|
||||
[Obsolete("This method does not contain boarder check, so be careful on size or use indexer instead.", false)]
|
||||
public abstract ref T UnsafeIndex(int column, int row);
|
||||
|
||||
private protected void AssertIndex(int column, int row)
|
||||
{
|
||||
if (column < 0 || column >= ColumnLength) {
|
||||
throw new ArgumentOutOfRangeException(nameof(column));
|
||||
}
|
||||
|
||||
if (row < 0 || row >= RowLength) {
|
||||
throw new ArgumentOutOfRangeException(nameof(row));
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
public readonly unsafe ref struct MatrixSegmentEnumeration<T>(
|
||||
MatrixKernel<T>* source,
|
||||
int primStride,
|
||||
int primSize,
|
||||
int secondaryStride,
|
||||
int secondarySize,
|
||||
int primOffset = 0,
|
||||
int secondaryOffset = 0)
|
||||
where T : unmanaged, INumber<T>
|
||||
{
|
||||
|
||||
private readonly MatrixKernel<T>* _source = source;
|
||||
internal readonly int PrimOffset = primOffset;
|
||||
|
||||
internal readonly int PrimSize = primSize;
|
||||
internal readonly int PrimStride = primStride;
|
||||
internal readonly int SecondaryOffset = secondaryOffset;
|
||||
internal readonly int SecondarySize = secondarySize;
|
||||
internal readonly int SecondaryStride = secondaryStride;
|
||||
|
||||
internal readonly MatrixKernel<T>* Source
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => _source;
|
||||
}
|
||||
|
||||
public Enumerator GetEnumerator()
|
||||
{
|
||||
return new Enumerator(in this);
|
||||
}
|
||||
|
||||
public ref struct Enumerator(in MatrixSegmentEnumeration<T> enumeration)
|
||||
{
|
||||
|
||||
private readonly MatrixKernel<T>* _source = enumeration._source;
|
||||
private int _indexCount = -1;
|
||||
private readonly int _stride = enumeration.PrimStride;
|
||||
private readonly long _bound = (long)enumeration.PrimSize * enumeration.PrimStride;
|
||||
private long _index = (long)enumeration.PrimOffset * enumeration.PrimStride;
|
||||
|
||||
private readonly MatrixSegmentEnumeration<T> _enumeration;
|
||||
|
||||
public readonly MatrixSegment<T> Current
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => new(_source + _index, _enumeration.SecondarySize, _enumeration.SecondaryStride,
|
||||
_enumeration.PrimOffset);
|
||||
}
|
||||
|
||||
public bool MoveNext()
|
||||
{
|
||||
_indexCount++;
|
||||
_index += _stride;
|
||||
if (_index >= _bound) {
|
||||
_index = 0;
|
||||
}
|
||||
return _indexCount >= _enumeration.PrimSize;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
public readonly unsafe ref struct MatrixSegment<T>(MatrixKernel<T>* source, int size, int stride, int offset)
|
||||
where T : unmanaged, INumber<T>
|
||||
{
|
||||
|
||||
private readonly MatrixKernel<T>* _source = source;
|
||||
private readonly int _offset = offset;
|
||||
private readonly int _secondarySize = size;
|
||||
private readonly int _size = size;
|
||||
private readonly int _stride = stride;
|
||||
|
||||
public ref MatrixKernel<T> this[int index]
|
||||
{
|
||||
get
|
||||
{
|
||||
if (index < 0 || index >= _size) {
|
||||
throw new ArgumentOutOfRangeException(nameof(index));
|
||||
}
|
||||
return ref _source[index * _stride];
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public Enumerator GetEnumerator()
|
||||
{
|
||||
return new Enumerator(in this);
|
||||
}
|
||||
|
||||
public ref struct Enumerator(in MatrixSegment<T> segment)
|
||||
{
|
||||
|
||||
private readonly int _end = segment._size;
|
||||
|
||||
private int _indexCount = -1;
|
||||
private readonly long _bound = (long)segment._size * segment._stride;
|
||||
private long _index = (long)segment._offset * segment._stride;
|
||||
private readonly MatrixSegment<T> _segment = segment;
|
||||
|
||||
public readonly MatrixKernel<T>* Current
|
||||
{
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
get => _segment._source + _index;
|
||||
}
|
||||
|
||||
public bool MoveNext()
|
||||
{
|
||||
_index += _segment._stride;
|
||||
_indexCount++;
|
||||
if (_index >= _bound) {
|
||||
_index = 0;
|
||||
}
|
||||
|
||||
return _indexCount < _end;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,107 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="ACos"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static unsafe float ACos(float x)
|
||||
{
|
||||
return MathF.Acos(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, vec = 0.0f;
|
||||
bool transform = (y >= 0.5f);
|
||||
|
||||
if (transform)
|
||||
{
|
||||
r = 0.5f * (1.0f - y);
|
||||
s = Scaler.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;
|
||||
vec = hpiby2_head - (p - q);
|
||||
}
|
||||
else
|
||||
{
|
||||
vec = y + y * u;
|
||||
}
|
||||
|
||||
vec = sign * vec;
|
||||
|
||||
return piby2 - vec;
|
||||
*/
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,119 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="ASin"
|
||||
// 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;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
private const float
|
||||
piby2_tail = 7.5497894159e-08f, /* 0x33a22168 */
|
||||
hpiby2_head = 7.8539812565e-01f, /* 0x3f490fda */
|
||||
piby2 = 1.5707963705e+00f; /* 0x3fc90fdb */
|
||||
|
||||
/// <summary>
|
||||
/// Reurns the value of ArcSin(x)
|
||||
/// </summary>
|
||||
/// <param _label="x">
|
||||
/// The sine value of the angle
|
||||
/// </param>
|
||||
/// <returns>
|
||||
///
|
||||
/// </returns>
|
||||
/// <exception cref="ArgumentException">
|
||||
///
|
||||
/// </exception>
|
||||
public static float ASin(float x)
|
||||
{
|
||||
return MathF.Asin(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, vec = 0.0f;
|
||||
bool transform = (y >= 0.5f);
|
||||
|
||||
if (transform)
|
||||
{
|
||||
r = 0.5f * (1.0f - y);
|
||||
s = Scaler.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;
|
||||
vec = hpiby2_head - (p - q);
|
||||
}
|
||||
else
|
||||
{
|
||||
vec = y + y * u;
|
||||
}/*
|
||||
|
||||
return sign * vec;
|
||||
*/
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,116 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="ATan"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static unsafe float ATan(float x)
|
||||
{
|
||||
return MathF.Atan(x);
|
||||
/*
|
||||
float sign = 1, angle = 0;
|
||||
if (x < 0)
|
||||
{
|
||||
sign = -1;
|
||||
x = -x;
|
||||
}
|
||||
uint xBit = *(uint*)&x;
|
||||
int xExp = (int)(xBit >> 23) - 127;
|
||||
if (xExp >= 26)
|
||||
{
|
||||
return 1;
|
||||
}
|
||||
if (xExp <= -15)
|
||||
{
|
||||
return x;
|
||||
}
|
||||
if (xExp >= 0)
|
||||
{
|
||||
x = (x - 1) / (x + 1);
|
||||
angle = 0.7853981634f;
|
||||
}
|
||||
|
||||
float vec = 0.7853981634f * x + x * (1 - x) * (0.2447f + 0.0663f * x);
|
||||
vec += angle;
|
||||
vec *= sign;
|
||||
|
||||
return vec;
|
||||
|
||||
|
||||
}
|
||||
|
||||
|
||||
public static unsafe float ATan(float x, float y)
|
||||
{
|
||||
|
||||
|
||||
float z = y / x;
|
||||
|
||||
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 vec = 0.7853981634f * z + z * (1 - z) * (0.2447f + 0.0663f * z);
|
||||
vec *= 57.29577951f;
|
||||
vec += angle2;
|
||||
vec += angle;
|
||||
vec *= sign;
|
||||
|
||||
return vec;
|
||||
*/
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,67 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="BasicOps"
|
||||
// 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;
|
||||
using System.Globalization;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
[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 +1,64 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Compare"
|
||||
// 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;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
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 +1,57 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Cos"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
[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 +1,52 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Ctor"
|
||||
// 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;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public unsafe delegate float ScalarCalcHandler(float* x);
|
||||
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
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 Scalar() { }
|
||||
|
||||
[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 +1,109 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Exp"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
public const float E = 2.718281828f;
|
||||
public const double EDouble = System.Math.E;
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static float Exp(float x)
|
||||
{
|
||||
return MathF.Exp(x);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static double Exp(double x)
|
||||
{
|
||||
return System.Math.Exp(x);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Get the value of E ^ x;
|
||||
/// </summary>
|
||||
/// <param _label="x">
|
||||
///
|
||||
/// </param>
|
||||
/// <returns>
|
||||
///
|
||||
/// </returns>
|
||||
public static unsafe float ExpSlow(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 +1,68 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Factorial"
|
||||
// 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;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
private static readonly uint[] factorialResult = [
|
||||
1,
|
||||
1,
|
||||
2,
|
||||
6,
|
||||
24,
|
||||
120,
|
||||
720,
|
||||
5040,
|
||||
40320,
|
||||
362880,
|
||||
3628800,
|
||||
39916800,
|
||||
479001600
|
||||
];
|
||||
|
||||
public static unsafe ulong Factorial(int n)
|
||||
{
|
||||
ArgumentOutOfRangeException.ThrowIfLessThan(n, 0);
|
||||
if (n < 13) {
|
||||
return factorialResult[n];
|
||||
}
|
||||
if (n < 30) {
|
||||
return NativeIntrinsic.Intrinsic.factorial_simd(n);
|
||||
}
|
||||
double
|
||||
dn = n,
|
||||
stir = Sqrt(2 * PiDouble * dn) * Pow(dn / EDouble, dn),
|
||||
correction = Exp(1 / (12 * dn));
|
||||
return (ulong)(stir * correction);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,31 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Function"
|
||||
// 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.
|
||||
//
|
||||
// -----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public class Function { }
|
||||
}
|
||||
@@ -0,0 +1,80 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Log"
|
||||
// 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;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
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 _label="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 +1,121 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// 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;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,130 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Random"
|
||||
// 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 StgSharp.Mathematics;
|
||||
|
||||
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.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
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 = Scalar.Pow(Scalar.SeedSqrt(seed), 2);
|
||||
float sample2 = (sample - seed) / seed;
|
||||
sample2 = Scalar.Abs(sample2);
|
||||
|
||||
if (sample == 1) {
|
||||
sample = sample2;
|
||||
}
|
||||
|
||||
currentSeed = sample;
|
||||
sample2 *= 1000000;
|
||||
|
||||
float result = sample2 - ((int)sample2);
|
||||
if (result == 0)
|
||||
{
|
||||
currentSeed = sample2 + 0.1f;
|
||||
result = Scalar.LowProceisionRandom();
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
///
|
||||
/// </summary>
|
||||
/// <returns>
|
||||
///
|
||||
/// </returns>
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static T Random<T>() where T: unmanaged, IConvertible, INumber<T>
|
||||
|
||||
{
|
||||
if (randomSeed == null)
|
||||
{
|
||||
randomSeed = new byte[64];
|
||||
string originSeed =
|
||||
($"{((Assembly.GetEntryAssembly() == null) ? (Assembly.GetAssembly(typeof(World))!) :
|
||||
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 +1,65 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="SignOf"
|
||||
// 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;
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Text;
|
||||
using System.Threading.Tasks;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static unsafe partial class Scalar
|
||||
{
|
||||
|
||||
[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 +1,47 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Sin"
|
||||
// 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;
|
||||
using System.Net.NetworkInformation;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
public const float Pi = 3.1415926f;
|
||||
public const double PiDouble = System.Math.PI;
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static unsafe float Sin(float x)
|
||||
{
|
||||
return MathF.Sin(x);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,74 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Sqrt"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
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);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,43 @@
|
||||
//-----------------------------------------------------------------------
|
||||
// -----------------------------------------------------------------------
|
||||
// file="Tan"
|
||||
// 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;
|
||||
using System.Runtime.CompilerServices;
|
||||
|
||||
namespace StgSharp.Mathematics
|
||||
{
|
||||
public static partial class Scalar
|
||||
{
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public static float Tan(float x)
|
||||
{
|
||||
return MathF.Tan(x);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user