2024-10-07我的读书日志 - 学习字典，学习词典- 学无忧文学网

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using System;
using System.Numerics;

public class RotationMatrix
{
    public static Vector3 RotateAroundAxis(Vector3 point, Vector3 axis, float angleDegrees)
    {
        // 将角度转换为弧度
        float angleRadians = MathF.PI / 180 * angleDegrees;

// 计算旋转矩阵
        axis = Vector3.Normalize(axis);
        float cos = MathF.Cos(angleRadians);
        float sin = MathF.Sin(angleRadians);
        float oneMinusCos = 1 - cos;

float xx = axis.X * axis.X * oneMinusCos + cos;
        float xy = axis.X * axis.Y * oneMinusCos - axis.Z * sin;
        float xz = axis.X * axis.Z * oneMinusCos + axis.Y * sin;

float yx = axis.Y * axis.X * oneMinusCos + axis.Z * sin;
        float yy = axis.Y * axis.Y * oneMinusCos + cos;
        float yz = axis.Y * axis.Z * oneMinusCos - axis.X * sin;

float zx = axis.Z * axis.X * oneMinusCos - axis.Y * sin;
        float zy = axis.Z * axis.Y * oneMinusCos + axis.X * sin;
        float zz = axis.Z * axis.Z * oneMinusCos + cos;

// 创建旋转矩阵
        Matrix4x4 rotationMatrix = new Matrix4x4(
            xx, xy, xz, 0,
            yx, yy, yz, 0,
            zx, zy, zz, 0,
            0, 0, 0, 1
        );

// 使用矩阵旋转点
        return Vector3.Transform(point, rotationMatrix);
    }
}

public class Program
{
    public static void Main()
    {
        // 定义要旋转的点
        Vector3 point = new Vector3(1, 0, 0);

// 定义旋转轴（如绕Z轴旋转）
        Vector3 axis = new Vector3(0, 0, 1);

// 定义旋转角度（例如90度）
        float angle = 90f;

// 进行旋转
        Vector3 rotatedPoint = RotationMatrix.RotateAroundAxis(point, axis, angle);

// 输出旋转后的坐标
        Console.WriteLine($"旋转后的坐标: ({rotatedPoint.X}, {rotatedPoint.Y}, {rotatedPoint.Z})");
    }
}
using System;
using System.Numerics;

public class Rotation
{
    // 绕任意轴旋转的函数
    public static Vector3 RotateAroundAxis(Vector3 point, Vector3 axis, float angleDegrees)
    {
        // 将角度转换为弧度
        float angleRadians = MathF.PI / 180 * angleDegrees;

// 将轴向量标准化
        axis = Vector3.Normalize(axis);

// 创建旋转四元数
        Quaternion rotation = Quaternion.CreateFromAxisAngle(axis, angleRadians);

// 旋转点
        Vector3 rotatedPoint = Vector3.Transform(point, rotation);

return rotatedPoint;
    }
}

public class Program
{
    public static void Main()
    {
        // 定义要旋转的点
        Vector3 point = new Vector3(1, 0, 0);

// 定义旋转轴（如绕Y轴旋转）
        Vector3 axis = new Vector3(0, 1, 0);

// 定义旋转角度（例如45度）
        float angle = 45f;

// 进行旋转
        Vector3 rotatedPoint = Rotation.RotateAroundAxis(point, axis, angle);

// 输出旋转后的坐标
        Console.WriteLine($"旋转后的坐标: ({rotatedPoint.X}, {rotatedPoint.Y}, {rotatedPoint.Z})");
    }
}

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