将摄像机移动限制到地图大小和摄像机角

Question

我正在研究RTS摄像机的运动， 我正在努力控制它的运动 根据地图大小和相机的四角。

这是我的代码：

public void Init(Vector2 mapSize)
    {

        _camera = GetComponent<Camera>();


        _movePosition = transform.position =
            new Vector3(CameraStartPosition.x, CameraHeight, CameraStartPosition.z);

        var frustumHeight = 2.0f * CameraHeight * Mathf.Tan(_camera.fieldOfView * 0.5f * Mathf.Deg2Rad);
        var frustumWidth = frustumHeight * _camera.aspect;

        var floorZSize = mapSize.y * _mapScaleFactor;
        var angle = Mathf.Sin(transform.localRotation.eulerAngles.x * Mathf.Deg2Rad);
        var distance = frustumHeight * 0.5f / Mathf.Tan(_camera.fieldOfView * 0.5f * Mathf.Deg2Rad);
        var hypotenuse = distance / angle;
        var adjacent = Mathf.Sqrt(Mathf.Pow(hypotenuse,2) - Mathf.Pow(distance,2));
        var zMax = floorZSize - adjacent ;
        var zMin = floorZSize + adjacent ;
        Debug.Log(
            $"frustumWidth: {frustumWidth} frustumHeight: {frustumHeight} " +
            $"filed of view: {_camera.fieldOfView} distance: {distance} " +
            $"mapHeight {floorZSize} angle{angle} hypotenuse: {hypotenuse} adjacent: {adjacent} zMax: {zMax} zMin: {zMin}");

        BoundsMin = new Vector3(
            _mapScaleFactor*(-mapSize.x) + CameraHeight*Mathf.Sin(transform.localRotation.eulerAngles.z*Mathf.Deg2Rad),
            CameraHeight,
           -zMin);

        BoundsMax = new Vector3(
            _mapScaleFactor*mapSize.x + CameraHeight*Mathf.Sin(transform.localRotation.eulerAngles.z*Mathf.Deg2Rad),
            CameraHeight,
            zMax );
     }



    private void Update()
    {
        if (_camera == null) return;

        if (Input.GetKey(_moveUp.Key))
        {
            _movePosition.z += MovementSpeed * Time.deltaTime;
        }

        if (Input.GetKey(_moveRight.Key))
        {
            _movePosition.x += MovementSpeed * Time.deltaTime;
        }

        if (Input.GetKey(_moveDown.Key))
        {
            _movePosition.z -= MovementSpeed * Time.deltaTime;
        }

        if (Input.GetKey(_movLeft.Key))
        {
            _movePosition.x -= MovementSpeed * Time.deltaTime;
        }

        var cameraMoveDirection = (_movePosition - transform.position).normalized;
        var distance = Vector3.Distance(_movePosition,transform.position);

        _movePosition = new Vector3(
            Mathf.Clamp(_movePosition.x, BoundsMin.x, BoundsMax.x),
            Mathf.Clamp(_movePosition.y, BoundsMin.y, BoundsMax.y),
            Mathf.Clamp(_movePosition.z, BoundsMin.z, BoundsMax.z)); 

        if (distance > 0)
        {
            var newCameraPosition = transform.position + (cameraMoveDirection * distance * MovementSpeed  * Time.deltaTime);

            newCameraPosition = new Vector3(
                Mathf.Clamp(newCameraPosition.x, BoundsMin.x, BoundsMax.x),
                Mathf.Clamp(newCameraPosition.y, BoundsMin.y, BoundsMax.y),
                Mathf.Clamp(newCameraPosition.z, BoundsMin.z, BoundsMax.z)); 

            var distanceAfterMoving = Vector3.Distance(newCameraPosition, _movePosition);


            if (distanceAfterMoving > distance)
            {
                newCameraPosition = _movePosition;
            }

            transform.position = newCameraPosition;
        }
    }

所以我知道如何获得所有值，例如相机三角形的角度，距离，斜边和相邻，但是我知道相机的三角函数中仍然缺少某些内容。

我当前相机的X轴旋转角度是40。

为了让自己更清楚，我希望当摄影机位置为MapXMin-cameraLeftCorner时，摄影机运动会受到限制。

有人可以帮我弄清楚我在做什么错吗？