PositionAndRotation TargetPositionAndRotation(GameObject[] targets)
{
float halfVerticalFovRad = (_camera.fieldOfView * Mathf.Deg2Rad) / 2f;
float halfHorizontalFovRad = Mathf.Atan(Mathf.Tan(halfVerticalFovRad) * _camera.aspect);
var rotation = Quaternion.Euler(Pitch, Yaw, Roll);
var inverseRotation = Quaternion.Inverse(rotation);
var targetsRotatedToCameraIdentity = targets.Select(target => inverseRotation * target.transform.position).ToArray();
float furthestPointDistanceFromCamera = targetsRotatedToCameraIdentity.Max(target => target.z);
float projectionPlaneZ = furthestPointDistanceFromCamera + 3f;
ProjectionHits viewProjectionLeftAndRightEdgeHits =
ViewProjectionEdgeHits(targetsRotatedToCameraIdentity, ProjectionEdgeHits.LEFT_RIGHT, projectionPlaneZ, halfHorizontalFovRad).AddPadding(PaddingRight, PaddingLeft);
ProjectionHits viewProjectionTopAndBottomEdgeHits =
ViewProjectionEdgeHits(targetsRotatedToCameraIdentity, ProjectionEdgeHits.TOP_BOTTOM, projectionPlaneZ, halfVerticalFovRad).AddPadding(PaddingUp, PaddingDown);
var requiredCameraPerpedicularDistanceFromProjectionPlane =
Mathf.Max(
RequiredCameraPerpedicularDistanceFromProjectionPlane(viewProjectionTopAndBottomEdgeHits, halfVerticalFovRad),
RequiredCameraPerpedicularDistanceFromProjectionPlane(viewProjectionLeftAndRightEdgeHits, halfHorizontalFovRad)
);
Vector3 cameraPositionIdentity = new Vector3(
(viewProjectionLeftAndRightEdgeHits.Max + viewProjectionLeftAndRightEdgeHits.Min) / 2f,
(viewProjectionTopAndBottomEdgeHits.Max + viewProjectionTopAndBottomEdgeHits.Min) / 2f,
projectionPlaneZ - requiredCameraPerpedicularDistanceFromProjectionPlane);
return(new PositionAndRotation(rotation * cameraPositionIdentity, rotation));
}
private void DebugDrawProjectionRays(Vector3 cameraPositionIdentity, ProjectionHits viewProjectionLeftAndRightEdgeHits,
ProjectionHits viewProjectionTopAndBottomEdgeHits, float requiredCameraPerpedicularDistanceFromProjectionPlane,
IEnumerable <Vector3> targetsRotatedToCameraIdentity, float projectionPlaneZ, float halfHorizontalFovRad,
float halfVerticalFovRad)
{
if (_debugProjection == DebugProjection.DISABLE)
{
return;
}
DebugDrawProjectionRay(
cameraPositionIdentity,
new Vector3((viewProjectionLeftAndRightEdgeHits.Max - viewProjectionLeftAndRightEdgeHits.Min) / 2f,
(viewProjectionTopAndBottomEdgeHits.Max - viewProjectionTopAndBottomEdgeHits.Min) / 2f,
requiredCameraPerpedicularDistanceFromProjectionPlane), new Color32(31, 119, 180, 255));
DebugDrawProjectionRay(
cameraPositionIdentity,
new Vector3((viewProjectionLeftAndRightEdgeHits.Max - viewProjectionLeftAndRightEdgeHits.Min) / 2f,
-(viewProjectionTopAndBottomEdgeHits.Max - viewProjectionTopAndBottomEdgeHits.Min) / 2f,
requiredCameraPerpedicularDistanceFromProjectionPlane), new Color32(31, 119, 180, 255));
DebugDrawProjectionRay(
cameraPositionIdentity,
new Vector3(-(viewProjectionLeftAndRightEdgeHits.Max - viewProjectionLeftAndRightEdgeHits.Min) / 2f,
(viewProjectionTopAndBottomEdgeHits.Max - viewProjectionTopAndBottomEdgeHits.Min) / 2f,
requiredCameraPerpedicularDistanceFromProjectionPlane), new Color32(31, 119, 180, 255));
DebugDrawProjectionRay(
cameraPositionIdentity,
new Vector3(-(viewProjectionLeftAndRightEdgeHits.Max - viewProjectionLeftAndRightEdgeHits.Min) / 2f,
-(viewProjectionTopAndBottomEdgeHits.Max - viewProjectionTopAndBottomEdgeHits.Min) / 2f,
requiredCameraPerpedicularDistanceFromProjectionPlane), new Color32(31, 119, 180, 255));
foreach (var target in targetsRotatedToCameraIdentity)
{
float distanceFromProjectionPlane = projectionPlaneZ - target.z;
float halfHorizontalProjectionVolumeCircumcircleDiameter = Mathf.Sin(Mathf.PI - ((Mathf.PI / 2f) + halfHorizontalFovRad)) / (distanceFromProjectionPlane);
float projectionHalfHorizontalSpan = Mathf.Sin(halfHorizontalFovRad) / halfHorizontalProjectionVolumeCircumcircleDiameter;
float halfVerticalProjectionVolumeCircumcircleDiameter = Mathf.Sin(Mathf.PI - ((Mathf.PI / 2f) + halfVerticalFovRad)) / (distanceFromProjectionPlane);
float projectionHalfVerticalSpan = Mathf.Sin(halfVerticalFovRad) / halfVerticalProjectionVolumeCircumcircleDiameter;
DebugDrawProjectionRay(target,
new Vector3(projectionHalfHorizontalSpan, 0f, distanceFromProjectionPlane),
new Color32(214, 39, 40, 255));
DebugDrawProjectionRay(target,
new Vector3(-projectionHalfHorizontalSpan, 0f, distanceFromProjectionPlane),
new Color32(214, 39, 40, 255));
DebugDrawProjectionRay(target,
new Vector3(0f, projectionHalfVerticalSpan, distanceFromProjectionPlane),
new Color32(214, 39, 40, 255));
DebugDrawProjectionRay(target,
new Vector3(0f, -projectionHalfVerticalSpan, distanceFromProjectionPlane),
new Color32(214, 39, 40, 255));
}
}
private static float RequiredCameraPerpedicularDistanceFromProjectionPlane(ProjectionHits viewProjectionEdgeHits, float halfFovRad)
{
float distanceBetweenEdgeProjectionHits = viewProjectionEdgeHits.Max - viewProjectionEdgeHits.Min;
return((distanceBetweenEdgeProjectionHits / 2f) / Mathf.Tan(halfFovRad));
}
