public override double Interpolate(Position from, Position to, double t)
{
var s = new Vector3d(Math.Cos(from.X) * Math.Cos(from.Y), Math.Sin(from.X) * Math.Cos(from.Y), Math.Sin(from.Y));
var e = new Vector3d(Math.Cos(to.X) * Math.Cos(to.Y), Math.Sin(to.X) * Math.Cos(to.Y), Math.Sin(to.Y));
var distance = Math.Max(Functions.Safe_Acos(s.Dot(e)) * Radius, 1e-3);
t = Math.Min(t + Math.Min(0.1, 5000.0 / distance), 1.0);
var T = 0.5 * Math.Atan(4.0 * (t - 0.5)) / Math.Atan(4.0 * 0.5) + 0.5;
var W = 10.0;
InterpolateDirection(from.X, from.Y, to.X, to.Y, T, ref position.X, ref position.Y);
InterpolateDirection(from.Phi, from.Theta, to.Phi, to.Theta, T, ref position.Phi, ref position.Theta);
position.Distance = from.Distance * (1.0 - t) + to.Distance * t + distance * (Math.Exp(-W * (t - 0.5) * (t - 0.5)) - Math.Exp(-W * 0.25));
return(t);
}
public override void UpdateNode()
{
TerrainMaterial.renderQueue = (int)ParentBody.RenderQueue + ParentBody.RenderQueueOffset;
// NOTE : Body shape dependent...
LocalToWorld = Matrix4x4d.ToMatrix4x4d(ParentBody.transform.localToWorldMatrix) * FaceToLocal;
TangentFrameToWorld = new Matrix3x3d(LocalToWorld.m[0, 0], LocalToWorld.m[0, 1], LocalToWorld.m[0, 2],
LocalToWorld.m[1, 0], LocalToWorld.m[1, 1], LocalToWorld.m[1, 2],
LocalToWorld.m[2, 0], LocalToWorld.m[2, 1], LocalToWorld.m[2, 2]);
LocalToCamera = GodManager.Instance.View.WorldToCameraMatrix * LocalToWorld;
LocalToScreen = GodManager.Instance.View.CameraToScreenMatrix * LocalToCamera;
var invLocalToCamera = LocalToCamera.Inverse();
DeformedCameraPosition = invLocalToCamera * Vector3d.zero;
DeformedFrustumPlanes = Frustum3d.GetFrustumPlanes(LocalToScreen); // NOTE : Extract frustum planes from LocalToScreen matrix...
LocalCameraPosition = Deformation.DeformedToLocal(DeformedCameraPosition);
DeformedLocalToTangent = Deformation.DeformedToTangentFrame(GodManager.Instance.View.WorldCameraPosition) * LocalToWorld * Deformation.LocalToDeformedDifferential(LocalCameraPosition);
var m = Deformation.LocalToDeformedDifferential(LocalCameraPosition, true);
var left = DeformedFrustumPlanes[0].xyz.Normalized();
var right = DeformedFrustumPlanes[1].xyz.Normalized();
var fov = (float)Functions.Safe_Acos(-left.Dot(right));
SplitDistance = SplitFactor * Screen.width / 1024.0f * Mathf.Tan(40.0f * Mathf.Deg2Rad) / Mathf.Tan(fov / 2.0f);
DistanceFactor = (float)Math.Max(new Vector3d(m.m[0, 0], m.m[1, 0], m.m[2, 0]).Magnitude(), new Vector3d(m.m[0, 1], m.m[1, 1], m.m[2, 1]).Magnitude());
if (SplitDistance < 1.1f || SplitDistance > 128.0f || !Functions.IsFinite(SplitDistance))
{
SplitDistance = 1.1f;
}
var splitDistanceBlending = SplitDistance + 1.0f;
DistanceBlending = new Vector2(splitDistanceBlending, 2.0f * SplitDistance - splitDistanceBlending);
// Initializes data structures for horizon occlusion culling
if (UseHorizonCulling && LocalCameraPosition.z <= TerrainQuadRoot.ZMax)
{
var deformedDirection = invLocalToCamera * Vector3d.forward;
var localDirection = (Deformation.DeformedToLocal(deformedDirection) - LocalCameraPosition).Normalized();
LocalCameraDirection = new Matrix2x2d(localDirection.y, -localDirection.x, -localDirection.x, -localDirection.y);
for (var i = 0; i < HORIZON_SIZE; ++i)
{
Horizon[i] = float.NegativeInfinity;
}
}
if (ParentBody.UpdateLOD)
{
TerrainQuadRoot.UpdateLOD();
}
SetUniforms(TerrainMaterial);
}