类似于Unity的Transform组件的C#库

Question

我使用 Unity 制作了许多小型工程特定应用程序，因为我发现 Transform 组件以及四元数和 Vector3 类具有一些很棒的本机功能，可以使空间工作变得更加容易。

对于某些项目，我需要走出 Unity editor/engine，想知道是否有一个具有类似功能的高度可移植的 C# 库，我可以将其放入 VS 项目中？

Answer 1

我认为最适合你的作品之一是 Vim.Math3D，包裹中包含类 for

向量

 Vector2 - Single precision X, Y
 Vector3 - Single precision X, Y, Z
 Vector4 - Single precision X, Y, Z, W
 DVector2 - Double precision X, Y, Z
 DVector3 - Single precision X, Y, Z
 DVector4 - Single precision X, Y, Z, W
 Int2 - Integer X, Y
 Int3 - Integer X, Y, Z
 Int4 - Integer X, Y
 Complex - Double precision Imaginary, Real

Pseudo-Vectors - 以下类缺少一些操作向量

 Byte2 - Byte X, Y
 Byte3 - Byte X, Y, Z
 Byte4 - Byte X, Y, Z, W
 ColorRGB - Byte representation of color R, G, B
 ColorRGBA - Byte representation of color with Alpha R, G, B, A
 ColorHDR - High Defintion Range color representation, 4 floats, R, G, B, A

旋转和变换

 Quaternion - Single precision quaternion rotation X, Y, Z, W
 DQuaternion - Single precision quaternion rotation X, Y, Z, W
 AxisAngle - Single precison rotation as Axis (Vector3) and Angle in radians
 Matrix4x4 - 4 x 4 Single Precision matrix in Row-Column - corder
 Transform - Single precision Position (Vector3) and Orientation (Quaternion)
 Euler - Single precision Euler engle rotation as Yaw (Z rotation), Pitch (X rotation), Roll (y rotation)

几何结构和形状

 Plane - Single precision plane stored Normal (Vector3) and D (distance along normal from Origin)
 DPlane - Double precision plane stored Normal (Vector3) and D (distance along normal from Origin)
 Triangle - Single precision representation of triangle in 3 dimension as 3 Vector3 Points, A, B, and C
 Triangle2 - Single precision representation of triangle in 3 dimension as 3 Vector3 Points, A, B, and C
 Quad - Single precision representation of quadrilateral in 3 dimension as 4 Vector3 Points, A, B, C, and D
 DQuad - Double precision representation of quadrilateral in 3 dimension as 4 Vector3 Points, A, B, C, and D

行数

 Line - Single precision line segment A and B
 Ray - Single precision Point and Direction in 3 dimensional space
 DRay - Double precision Point and Direction in 3 dimensional space

区间和边界结构

 Interval - Single precision float interval (float Min, float Max)
 AABox - Single precision 3 dimensional axis-aligned bouncing box (Vector3 Min, Vector3 Max)
 AABox2D - Single precision 2 dimensional axis-aligned bouncing box (Vector2 Min, Vector2 Max)
 AABox4D - Single precision 4 dimensional axis-aligned bouncing box (Vector4 Min, Vector4 Max)
 DInterval - Double precision float interval (double Min, double Max)
 DAABox - Double precision 3 dimensional axis-aligned bouncing box (DVector3 Min, DVector3 Max)
 DAABox2D - Double precision 2 dimensional axis-aligned bouncing box (DVector2 Min, DVector2 Max)
 DAABox4D - Double precision 4 dimensional axis-aligned bouncing box (DVector4 Min, DVector4 Max)
 Sphere - Bounding sphere (Vector3 Center, float Radius)
 DSphere - Double precision bounding spehere (DVector3 Center, double Radius)

替代坐标表示法

 SphericalCoordinate - Radius, Azimuth (bearing), and Inclination (elevation angle)
 PolarCoordinate - Radius and Azimuth (bearing)
 LogPolarCoordinate - Rho (log of radial distance) and Azimuth
 CylindricalCoordinate - Radius, Azimuth (bearing) and Height
 HorizontalCoordinate - Azimuth (bearing) and Inclination
 GeoCoordinate - Latitude and Longitude

运动

 LinearMotion - Velocity, Acceleration, and Scalar Friction
 AngularMotion - Velocity, Acceleration, and Scalar Friction
 Motion - LinearMotion and AngularMotion

你也可以查看一些与上述相关的库