bac44ee19f
This fixes numerous false positives coming out of the culling system. AABB checks are now a full separating-axis check against the frustum, with the points of the frustum being compared to the planes of the box just as the points of the box were being compared to the planes of the frustum. This fixes large objects behind the camera not being culled correctly. Some systems that used frustums that were (sometimes mistakenly?) unbounded on one or more side have been modified to be fully enclosed.
391 lines
12 KiB
C++
391 lines
12 KiB
C++
/*************************************************************************/
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/* aabb.h */
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/*************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* https://godotengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2020 Juan Linietsky, Ariel Manzur. */
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/* Copyright (c) 2014-2020 Godot Engine contributors (cf. AUTHORS.md). */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/*************************************************************************/
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#ifndef AABB_H
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#define AABB_H
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#include "core/math/math_defs.h"
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#include "core/math/plane.h"
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#include "core/math/vector3.h"
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/**
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* AABB / AABB (Axis Aligned Bounding Box)
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* This is implemented by a point (position) and the box size
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*/
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class AABB {
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public:
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Vector3 position;
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Vector3 size;
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real_t get_area() const; /// get area
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_FORCE_INLINE_ bool has_no_area() const {
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return (size.x <= 0 || size.y <= 0 || size.z <= 0);
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}
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_FORCE_INLINE_ bool has_no_surface() const {
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return (size.x <= 0 && size.y <= 0 && size.z <= 0);
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}
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const Vector3 &get_position() const { return position; }
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void set_position(const Vector3 &p_pos) { position = p_pos; }
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const Vector3 &get_size() const { return size; }
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void set_size(const Vector3 &p_size) { size = p_size; }
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bool operator==(const AABB &p_rval) const;
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bool operator!=(const AABB &p_rval) const;
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bool is_equal_approx(const AABB &p_aabb) const;
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_FORCE_INLINE_ bool intersects(const AABB &p_aabb) const; /// Both AABBs overlap
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_FORCE_INLINE_ bool intersects_inclusive(const AABB &p_aabb) const; /// Both AABBs (or their faces) overlap
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_FORCE_INLINE_ bool encloses(const AABB &p_aabb) const; /// p_aabb is completely inside this
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AABB merge(const AABB &p_with) const;
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void merge_with(const AABB &p_aabb); ///merge with another AABB
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AABB intersection(const AABB &p_aabb) const; ///get box where two intersect, empty if no intersection occurs
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bool intersects_segment(const Vector3 &p_from, const Vector3 &p_to, Vector3 *r_clip = NULL, Vector3 *r_normal = NULL) const;
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bool intersects_ray(const Vector3 &p_from, const Vector3 &p_dir, Vector3 *r_clip = NULL, Vector3 *r_normal = NULL) const;
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_FORCE_INLINE_ bool smits_intersect_ray(const Vector3 &p_from, const Vector3 &p_dir, real_t t0, real_t t1) const;
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_FORCE_INLINE_ bool intersects_convex_shape(const Plane *p_planes, int p_plane_count, const Vector3 *p_points, int p_point_count) const;
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_FORCE_INLINE_ bool inside_convex_shape(const Plane *p_planes, int p_plane_count) const;
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bool intersects_plane(const Plane &p_plane) const;
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_FORCE_INLINE_ bool has_point(const Vector3 &p_point) const;
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_FORCE_INLINE_ Vector3 get_support(const Vector3 &p_normal) const;
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Vector3 get_longest_axis() const;
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int get_longest_axis_index() const;
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_FORCE_INLINE_ real_t get_longest_axis_size() const;
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Vector3 get_shortest_axis() const;
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int get_shortest_axis_index() const;
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_FORCE_INLINE_ real_t get_shortest_axis_size() const;
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AABB grow(real_t p_by) const;
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_FORCE_INLINE_ void grow_by(real_t p_amount);
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void get_edge(int p_edge, Vector3 &r_from, Vector3 &r_to) const;
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_FORCE_INLINE_ Vector3 get_endpoint(int p_point) const;
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AABB expand(const Vector3 &p_vector) const;
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_FORCE_INLINE_ void project_range_in_plane(const Plane &p_plane, real_t &r_min, real_t &r_max) const;
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_FORCE_INLINE_ void expand_to(const Vector3 &p_vector); /** expand to contain a point if necessary */
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operator String() const;
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_FORCE_INLINE_ AABB() {}
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inline AABB(const Vector3 &p_pos, const Vector3 &p_size) :
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position(p_pos),
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size(p_size) {
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}
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};
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inline bool AABB::intersects(const AABB &p_aabb) const {
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if (position.x >= (p_aabb.position.x + p_aabb.size.x))
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return false;
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if ((position.x + size.x) <= p_aabb.position.x)
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return false;
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if (position.y >= (p_aabb.position.y + p_aabb.size.y))
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return false;
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if ((position.y + size.y) <= p_aabb.position.y)
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return false;
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if (position.z >= (p_aabb.position.z + p_aabb.size.z))
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return false;
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if ((position.z + size.z) <= p_aabb.position.z)
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return false;
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return true;
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}
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inline bool AABB::intersects_inclusive(const AABB &p_aabb) const {
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if (position.x > (p_aabb.position.x + p_aabb.size.x))
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return false;
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if ((position.x + size.x) < p_aabb.position.x)
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return false;
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if (position.y > (p_aabb.position.y + p_aabb.size.y))
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return false;
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if ((position.y + size.y) < p_aabb.position.y)
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return false;
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if (position.z > (p_aabb.position.z + p_aabb.size.z))
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return false;
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if ((position.z + size.z) < p_aabb.position.z)
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return false;
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return true;
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}
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inline bool AABB::encloses(const AABB &p_aabb) const {
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Vector3 src_min = position;
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Vector3 src_max = position + size;
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Vector3 dst_min = p_aabb.position;
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Vector3 dst_max = p_aabb.position + p_aabb.size;
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return (
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(src_min.x <= dst_min.x) &&
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(src_max.x > dst_max.x) &&
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(src_min.y <= dst_min.y) &&
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(src_max.y > dst_max.y) &&
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(src_min.z <= dst_min.z) &&
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(src_max.z > dst_max.z));
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}
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Vector3 AABB::get_support(const Vector3 &p_normal) const {
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Vector3 half_extents = size * 0.5;
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Vector3 ofs = position + half_extents;
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return Vector3(
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(p_normal.x > 0) ? -half_extents.x : half_extents.x,
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(p_normal.y > 0) ? -half_extents.y : half_extents.y,
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(p_normal.z > 0) ? -half_extents.z : half_extents.z) +
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ofs;
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}
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Vector3 AABB::get_endpoint(int p_point) const {
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switch (p_point) {
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case 0: return Vector3(position.x, position.y, position.z);
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case 1: return Vector3(position.x, position.y, position.z + size.z);
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case 2: return Vector3(position.x, position.y + size.y, position.z);
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case 3: return Vector3(position.x, position.y + size.y, position.z + size.z);
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case 4: return Vector3(position.x + size.x, position.y, position.z);
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case 5: return Vector3(position.x + size.x, position.y, position.z + size.z);
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case 6: return Vector3(position.x + size.x, position.y + size.y, position.z);
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case 7: return Vector3(position.x + size.x, position.y + size.y, position.z + size.z);
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};
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ERR_FAIL_V(Vector3());
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}
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bool AABB::intersects_convex_shape(const Plane *p_planes, int p_plane_count, const Vector3 *p_points, int p_point_count) const {
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Vector3 half_extents = size * 0.5;
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Vector3 ofs = position + half_extents;
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for (int i = 0; i < p_plane_count; i++) {
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const Plane &p = p_planes[i];
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Vector3 point(
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(p.normal.x > 0) ? -half_extents.x : half_extents.x,
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(p.normal.y > 0) ? -half_extents.y : half_extents.y,
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(p.normal.z > 0) ? -half_extents.z : half_extents.z);
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point += ofs;
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if (p.is_point_over(point))
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return false;
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}
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// Make sure all points in the shape aren't fully separated from the AABB on
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// each axis.
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int bad_point_counts_positive[3] = { 0 };
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int bad_point_counts_negative[3] = { 0 };
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for (int k = 0; k < 3; k++) {
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for (int i = 0; i < p_point_count; i++) {
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if (p_points[i].coord[k] > ofs.coord[k] + half_extents.coord[k]) {
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bad_point_counts_positive[k]++;
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}
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if (p_points[i].coord[k] < ofs.coord[k] - half_extents.coord[k]) {
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bad_point_counts_negative[k]++;
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}
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}
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if (bad_point_counts_negative[k] == p_point_count) {
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return false;
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}
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if (bad_point_counts_positive[k] == p_point_count) {
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return false;
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}
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}
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return true;
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}
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bool AABB::inside_convex_shape(const Plane *p_planes, int p_plane_count) const {
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Vector3 half_extents = size * 0.5;
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Vector3 ofs = position + half_extents;
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for (int i = 0; i < p_plane_count; i++) {
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const Plane &p = p_planes[i];
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Vector3 point(
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(p.normal.x < 0) ? -half_extents.x : half_extents.x,
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(p.normal.y < 0) ? -half_extents.y : half_extents.y,
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(p.normal.z < 0) ? -half_extents.z : half_extents.z);
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point += ofs;
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if (p.is_point_over(point))
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return false;
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}
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return true;
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}
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bool AABB::has_point(const Vector3 &p_point) const {
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if (p_point.x < position.x)
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return false;
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if (p_point.y < position.y)
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return false;
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if (p_point.z < position.z)
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return false;
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if (p_point.x > position.x + size.x)
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return false;
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if (p_point.y > position.y + size.y)
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return false;
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if (p_point.z > position.z + size.z)
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return false;
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return true;
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}
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inline void AABB::expand_to(const Vector3 &p_vector) {
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Vector3 begin = position;
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Vector3 end = position + size;
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if (p_vector.x < begin.x)
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begin.x = p_vector.x;
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if (p_vector.y < begin.y)
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begin.y = p_vector.y;
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if (p_vector.z < begin.z)
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begin.z = p_vector.z;
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if (p_vector.x > end.x)
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end.x = p_vector.x;
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if (p_vector.y > end.y)
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end.y = p_vector.y;
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if (p_vector.z > end.z)
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end.z = p_vector.z;
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position = begin;
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size = end - begin;
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}
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void AABB::project_range_in_plane(const Plane &p_plane, real_t &r_min, real_t &r_max) const {
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Vector3 half_extents(size.x * 0.5, size.y * 0.5, size.z * 0.5);
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Vector3 center(position.x + half_extents.x, position.y + half_extents.y, position.z + half_extents.z);
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real_t length = p_plane.normal.abs().dot(half_extents);
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real_t distance = p_plane.distance_to(center);
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r_min = distance - length;
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r_max = distance + length;
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}
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inline real_t AABB::get_longest_axis_size() const {
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real_t max_size = size.x;
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if (size.y > max_size) {
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max_size = size.y;
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}
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if (size.z > max_size) {
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max_size = size.z;
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}
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return max_size;
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}
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inline real_t AABB::get_shortest_axis_size() const {
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real_t max_size = size.x;
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if (size.y < max_size) {
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max_size = size.y;
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}
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if (size.z < max_size) {
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max_size = size.z;
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}
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return max_size;
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}
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bool AABB::smits_intersect_ray(const Vector3 &p_from, const Vector3 &p_dir, real_t t0, real_t t1) const {
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real_t divx = 1.0 / p_dir.x;
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real_t divy = 1.0 / p_dir.y;
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real_t divz = 1.0 / p_dir.z;
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Vector3 upbound = position + size;
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real_t tmin, tmax, tymin, tymax, tzmin, tzmax;
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if (p_dir.x >= 0) {
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tmin = (position.x - p_from.x) * divx;
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tmax = (upbound.x - p_from.x) * divx;
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} else {
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tmin = (upbound.x - p_from.x) * divx;
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tmax = (position.x - p_from.x) * divx;
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}
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if (p_dir.y >= 0) {
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tymin = (position.y - p_from.y) * divy;
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tymax = (upbound.y - p_from.y) * divy;
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} else {
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tymin = (upbound.y - p_from.y) * divy;
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tymax = (position.y - p_from.y) * divy;
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}
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if ((tmin > tymax) || (tymin > tmax))
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return false;
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if (tymin > tmin)
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tmin = tymin;
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if (tymax < tmax)
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tmax = tymax;
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if (p_dir.z >= 0) {
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tzmin = (position.z - p_from.z) * divz;
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tzmax = (upbound.z - p_from.z) * divz;
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} else {
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tzmin = (upbound.z - p_from.z) * divz;
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tzmax = (position.z - p_from.z) * divz;
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}
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if ((tmin > tzmax) || (tzmin > tmax))
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return false;
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if (tzmin > tmin)
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tmin = tzmin;
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if (tzmax < tmax)
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tmax = tzmax;
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return ((tmin < t1) && (tmax > t0));
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}
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void AABB::grow_by(real_t p_amount) {
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position.x -= p_amount;
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position.y -= p_amount;
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position.z -= p_amount;
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size.x += 2.0 * p_amount;
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size.y += 2.0 * p_amount;
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size.z += 2.0 * p_amount;
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}
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#endif // AABB_H
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