58 lines
1.3 KiB
Markdown
58 lines
1.3 KiB
Markdown
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# Matrix3 / Matrix3x3
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3x3 矩阵结构体,用于表示 3D 旋转和缩放变换。
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**头文件:** `#include <XCEngine/Math/Matrix3.h>`
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**命名空间:** `XCEngine::Math`
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## 类型别名
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```cpp
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using Matrix3 = Matrix3x3;
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```
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## 存储方式
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行优先存储 (row-major):
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```
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m[row][col]
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m[0][0] m[0][1] m[0][2]
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m[1][0] m[1][1] m[1][2]
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m[2][0] m[2][1] m[2][2]
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```
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## 构造函数
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- 默认构造函数初始化为零矩阵
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## 静态工厂方法
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| 方法 | 返回值 | 描述 |
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|------|--------|------|
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| [Identity()](identity.md) | `Matrix3` | 单位矩阵 |
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| [Zero()](zero.md) | `Matrix3` | 零矩阵 |
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| [RotationX(radians)](rotationx.md) | `Matrix3` | X 轴旋转矩阵 |
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| [RotationY(radians)](rotationy.md) | `Matrix3` | Y 轴旋转矩阵 |
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| [RotationZ(radians)](rotationz.md) | `Matrix3` | Z 轴旋转矩阵 |
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| [Scale(scale)](scale.md) | `Matrix3` | 缩放矩阵 |
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## 实例方法
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| 方法 | 返回值 | 描述 |
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|------|--------|------|
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| [Transpose()](transpose.md) | `Matrix3` | 转置矩阵 |
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| [Inverse()](inverse.md) | `Matrix3` | 逆矩阵 |
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| [Determinant()](determinant.md) | `float` | 行列式 |
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## 运算符
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| 运算符 | 描述 |
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|--------|------|
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| `operator*(Matrix3, Matrix3)` | 矩阵乘法 |
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| `operator*(Matrix3, Vector3)` | 矩阵-向量乘法 |
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## 相关文档
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- [Math 模块总览](../math.md) - 返回 Math 模块总览
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