Assume this are the basic properties of an AABB.

struct AABB
{
	Point c;		// center point
	float r[3];	// halfwidths
};

Then we can use this simple test to check if there is an overlap between the bounding boxes.

bool testAABBAABB(const AABB &a, const AABB &b)
{
	float t;
	if ( Abs(a.c[0] - b.c[0]) > (a.r[0] + b.r[0]) return false;
	if ( Abs(a.c[1] - b.c[1]) > (a.r[1] + b.r[1]) return false;
	if ( Abs(a.c[2] - b.c[2]) > (a.r[2] + b.r[2]) return false;
	// We have an overlap
	return true;
};

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