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XCEngine/docs/api/math/quaternion/from-rotation-matrix.md
2026-03-20 02:35:15 +08:00

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# Quaternion::FromRotationMatrix
```cpp
static Quaternion FromRotationMatrix(const Matrix4x4& matrix);
```
从 4x4 旋转矩阵创建四元数。矩阵必须是正交矩阵且行列式为 1。
**参数:**
- `matrix` - 旋转矩阵
**返回:** 对应的四元数
**线程安全:**
**复杂度:** O(1)
**示例:**
```cpp
#include <XCEngine/Math/Quaternion.h>
#include <XCEngine/Math/Matrix4.h>
using namespace XCEngine::Math;
Matrix4 rotMatrix;
rotMatrix.m[0][0] = 1; rotMatrix.m[0][1] = 0; rotMatrix.m[0][2] = 0;
rotMatrix.m[1][0] = 0; rotMatrix.m[1][1] = 0; rotMatrix.m[1][2] = -1;
rotMatrix.m[2][0] = 0; rotMatrix.m[2][1] = 1; rotMatrix.m[2][2] = 0;
Quaternion q = Quaternion::FromRotationMatrix(rotMatrix);
```
## 相关文档
- [Quaternion](quaternion.md) - 返回类总览
- [ToMatrix4x4](to-matrix4x4.md) - 转换为矩阵