/*************************************************************************/ /* bvh_abb.h */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* https://godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2020 Juan Linietsky, Ariel Manzur. */ /* Copyright (c) 2014-2020 Godot Engine contributors (cf. AUTHORS.md). */ /* */ /* Permission is hereby granted, free of charge, to any person obtaining */ /* a copy of this software and associated documentation files (the */ /* "Software"), to deal in the Software without restriction, including */ /* without limitation the rights to use, copy, modify, merge, publish, */ /* distribute, sublicense, and/or sell copies of the Software, and to */ /* permit persons to whom the Software is furnished to do so, subject to */ /* the following conditions: */ /* */ /* The above copyright notice and this permission notice shall be */ /* included in all copies or substantial portions of the Software. */ /* */ /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */ /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */ /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/ /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */ /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */ /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */ /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /*************************************************************************/ #ifndef BVH_ABB_H #define BVH_ABB_H // special optimized version of axis aligned bounding box struct BVH_ABB { struct ConvexHull { // convex hulls (optional) const Plane *planes; int num_planes; const Vector3 *points; int num_points; }; struct Segment { Vector3 from; Vector3 to; }; enum IntersectResult { IR_MISS = 0, IR_PARTIAL, IR_FULL, }; // we store mins with a negative value in order to test them with SIMD Vector3 min; Vector3 neg_max; bool operator==(const BVH_ABB &o) const { return (min == o.min) && (neg_max == o.neg_max); } bool operator!=(const BVH_ABB &o) const { return (*this == o) == false; } void set(const Vector3 &_min, const Vector3 &_max) { min = _min; neg_max = -_max; } // to and from standard AABB void from(const AABB &p_aabb) { min = p_aabb.position; neg_max = -(p_aabb.position + p_aabb.size); } void to(AABB &r_aabb) const { r_aabb.position = min; r_aabb.size = calculate_size(); } void merge(const BVH_ABB &p_o) { neg_max.x = MIN(neg_max.x, p_o.neg_max.x); neg_max.y = MIN(neg_max.y, p_o.neg_max.y); neg_max.z = MIN(neg_max.z, p_o.neg_max.z); min.x = MIN(min.x, p_o.min.x); min.y = MIN(min.y, p_o.min.y); min.z = MIN(min.z, p_o.min.z); } Vector3 calculate_size() const { return -neg_max - min; } Vector3 calculate_centre() const { return Vector3((calculate_size() * 0.5) + min); } real_t get_proximity_to(const BVH_ABB &p_b) const { const Vector3 d = (min - neg_max) - (p_b.min - p_b.neg_max); return (Math::abs(d.x) + Math::abs(d.y) + Math::abs(d.z)); } int select_by_proximity(const BVH_ABB &p_a, const BVH_ABB &p_b) const { return (get_proximity_to(p_a) < get_proximity_to(p_b) ? 0 : 1); } uint32_t find_cutting_planes(const BVH_ABB::ConvexHull &p_hull, uint32_t *p_plane_ids) const { uint32_t count = 0; for (int n = 0; n < p_hull.num_planes; n++) { const Plane &p = p_hull.planes[n]; if (intersects_plane(p)) { p_plane_ids[count++] = n; } } return count; } bool intersects_plane(const Plane &p_p) const { Vector3 size = calculate_size(); Vector3 half_extents = size * 0.5; Vector3 ofs = min + half_extents; // forward side of plane? Vector3 point_offset( (p_p.normal.x < 0) ? -half_extents.x : half_extents.x, (p_p.normal.y < 0) ? -half_extents.y : half_extents.y, (p_p.normal.z < 0) ? -half_extents.z : half_extents.z); Vector3 point = point_offset + ofs; if (!p_p.is_point_over(point)) return false; point = -point_offset + ofs; if (p_p.is_point_over(point)) return false; return true; } bool intersects_convex_optimized(const ConvexHull &p_hull, const uint32_t *p_plane_ids, uint32_t p_num_planes) const { Vector3 size = calculate_size(); Vector3 half_extents = size * 0.5; Vector3 ofs = min + half_extents; for (unsigned int i = 0; i < p_num_planes; i++) { const Plane &p = p_hull.planes[p_plane_ids[i]]; Vector3 point( (p.normal.x > 0) ? -half_extents.x : half_extents.x, (p.normal.y > 0) ? -half_extents.y : half_extents.y, (p.normal.z > 0) ? -half_extents.z : half_extents.z); point += ofs; if (p.is_point_over(point)) return false; } return true; } bool intersects_convex_partial(const ConvexHull &p_hull) const { AABB bb; to(bb); return bb.intersects_convex_shape(p_hull.planes, p_hull.num_planes, p_hull.points, p_hull.num_points); } IntersectResult intersects_convex(const ConvexHull &p_hull) const { if (intersects_convex_partial(p_hull)) { // fully within? very important for tree checks if (is_within_convex(p_hull)) { return IR_FULL; } return IR_PARTIAL; } return IR_MISS; } bool is_within_convex(const ConvexHull &p_hull) const { // use half extents routine AABB bb; to(bb); return bb.inside_convex_shape(p_hull.planes, p_hull.num_planes); } bool is_point_within_hull(const ConvexHull &p_hull, const Vector3 &p_pt) const { for (int n = 0; n < p_hull.num_planes; n++) { if (p_hull.planes[n].distance_to(p_pt) > 0.0f) return false; } return true; } bool intersects_segment(const Segment &p_s) const { AABB bb; to(bb); return bb.intersects_segment(p_s.from, p_s.to); } bool intersects_point(const Vector3 &p_pt) const { if (_vector3_any_lessthan(-p_pt, neg_max)) return false; if (_vector3_any_lessthan(p_pt, min)) return false; return true; } bool intersects(const BVH_ABB &p_o) const { if (_vector3_any_morethan(p_o.min, -neg_max)) return false; if (_vector3_any_morethan(min, -p_o.neg_max)) return false; return true; } bool is_other_within(const BVH_ABB &p_o) const { if (_vector3_any_lessthan(p_o.neg_max, neg_max)) return false; if (_vector3_any_lessthan(p_o.min, min)) return false; return true; } void grow(const Vector3 &p_change) { neg_max -= p_change; min -= p_change; } void expand(real_t p_change) { grow(Vector3(p_change, p_change, p_change)); } float get_area() const // actually surface area metric { Vector3 d = calculate_size(); return 2.0f * (d.x * d.y + d.y * d.z + d.z * d.x); } void set_to_max_opposite_extents() { neg_max = Vector3(FLT_MAX, FLT_MAX, FLT_MAX); min = neg_max; } bool _vector3_any_morethan(const Vector3 &p_a, const Vector3 &p_b) const { if (p_a.x > p_b.x) return true; if (p_a.y > p_b.y) return true; if (p_a.z > p_b.z) return true; return false; } bool _vector3_any_lessthan(const Vector3 &p_a, const Vector3 &p_b) const { if (p_a.x < p_b.x) return true; if (p_a.y < p_b.y) return true; if (p_a.z < p_b.z) return true; return false; } }; #endif // BVH_ABB_H