/// Set Christer Ericson's Real-Time Collision Detection, p.164.
bool Plane::Intersects(const AABB &aabb) const
{
float3 c = aabb.CenterPoint();
float3 e = aabb.HalfDiagonal();
// Compute the projection interval radius of the AABB onto L(t) = aabb.center + t * plane.normal;
float r = e[0]*Abs(normal[0]) + e[1]*Abs(normal[1]) + e[2]*Abs(normal[2]);
// Compute the distance of the box center from plane.
float s = Dot(normal, c) - d;
return Abs(s) <= r;
}
/// The Plane-AABB intersection is implemented according to Christer Ericson's Real-Time Collision Detection, p.164. [groupSyntax]
bool Plane::Intersects(const AABB &aabb) const
{
vec c = aabb.CenterPoint();
vec e = aabb.HalfDiagonal();
// Compute the projection interval radius of the AABB onto L(t) = aabb.center + t * plane.normal;
float r = e[0]*Abs(normal[0]) + e[1]*Abs(normal[1]) + e[2]*Abs(normal[2]);
// Compute the distance of the box center from plane.
// float s = Dot(normal, c) - d;
float s = Dot(normal.xyz(), c.xyz()) - d; ///\todo Use the above form when Plane is SSE'ized.
return Abs(s) <= r;
}
