Dynamic BVH broadphase in 2D & 3D Godot Physics

Port lawnjelly's dynamic BVH implementation from 3.x to be used in
both 2D and 3D broadphases.

Removed alternative broadphase implementations which are not meant to be
used anymore since they are much slower.

Includes changes in Rect2, Vector2, Vector3 that help with the template
implementation of the dynamic BVH by uniformizing the interface between
2D and 3D math.

Co-authored-by: lawnjelly <lawnjelly@gmail.com>

1 files changed, 62 insertions, 0 deletions

diff --git a/core/math/bvh_pair.inc b/core/math/bvh_pair.inc
new file mode 100644
index 0000000000..839db59a3a
--- /dev/null
+++ b/core/math/bvh_pair.inc
@@ -0,0 +1,62 @@
+public:
+// note .. maybe this can be attached to another node structure?
+// depends which works best for cache.
+struct ItemPairs {
+	struct Link {
+		void set(BVHHandle h, void *ud) {
+			handle = h;
+			userdata = ud;
+		}
+		BVHHandle handle;
+		void *userdata;
+	};
+
+	void clear() {
+		num_pairs = 0;
+		extended_pairs.reset();
+		expanded_aabb = Bounds();
+	}
+
+	Bounds expanded_aabb;
+
+	// maybe we can just use the number in the vector TODO
+	int32_t num_pairs;
+	LocalVector<Link> extended_pairs;
+
+	void add_pair_to(BVHHandle h, void *p_userdata) {
+		Link temp;
+		temp.set(h, p_userdata);
+
+		extended_pairs.push_back(temp);
+		num_pairs++;
+	}
+
+	uint32_t find_pair_to(BVHHandle h) const {
+		for (int n = 0; n < num_pairs; n++) {
+			if (extended_pairs[n].handle == h) {
+				return n;
+			}
+		}
+		return -1;
+	}
+
+	bool contains_pair_to(BVHHandle h) const {
+		return find_pair_to(h) != BVHCommon::INVALID;
+	}
+
+	// return success
+	void *remove_pair_to(BVHHandle h) {
+		void *userdata = nullptr;
+
+		for (int n = 0; n < num_pairs; n++) {
+			if (extended_pairs[n].handle == h) {
+				userdata = extended_pairs[n].userdata;
+				extended_pairs.remove_unordered(n);
+				num_pairs--;
+				break;
+			}
+		}
+
+		return userdata;
+	}
+};