docs: update math API docs

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2026-03-20 02:35:15 +08:00
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# Transform::operator*
```cpp
Transform operator*(const Transform& other) const;
```
组合两个变换。当 `A * B` 时,表示先应用 `B`,再应用 `A`。结果变换先对点进行 `B` 变换,再进行 `A` 变换。
组合计算:
- `position = position + rotation * (scale * other.position)`
- `rotation = rotation * other.rotation`
- `scale = scale * other.scale`
**参数:**
- `other` - 要组合的另一个变换
**返回:** `Transform` - 组合后的变换
**线程安全:** ❌(无锁,非线程安全)
**复杂度:** O(1)
**示例:**
```cpp
#include "XCEngine/Math/Transform.h"
#include "XCEngine/Math/Vector3.h"
using namespace XCEngine::Math;
void OperatorMultiplyExample() {
Transform parent;
parent.position = Vector3(10.0f, 0.0f, 0.0f);
parent.scale = Vector3(2.0f, 2.0f, 2.0f);
Transform child;
child.position = Vector3(5.0f, 0.0f, 0.0f);
Transform combined = parent * child;
Vector3 worldPos = combined.TransformPoint(child.position);
}
```
## 相关文档
- [Transform](transform.md) - 返回类总览