mirror of
https://github.com/godotengine/godot.git
synced 2024-12-03 09:52:18 +08:00
a7f49ac9a1
Happy new year to the wonderful Godot community! We're starting a new decade with a well-established, non-profit, free and open source game engine, and tons of further improvements in the pipeline from hundreds of contributors. Godot will keep getting better, and we're looking forward to all the games that the community will keep developing and releasing with it.
403 lines
10 KiB
C++
403 lines
10 KiB
C++
/*************************************************************************/
|
|
/* aabb.cpp */
|
|
/*************************************************************************/
|
|
/* 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. */
|
|
/*************************************************************************/
|
|
|
|
#include "aabb.h"
|
|
|
|
#include "core/print_string.h"
|
|
|
|
real_t AABB::get_area() const {
|
|
|
|
return size.x * size.y * size.z;
|
|
}
|
|
|
|
bool AABB::operator==(const AABB &p_rval) const {
|
|
|
|
return ((position == p_rval.position) && (size == p_rval.size));
|
|
}
|
|
bool AABB::operator!=(const AABB &p_rval) const {
|
|
|
|
return ((position != p_rval.position) || (size != p_rval.size));
|
|
}
|
|
|
|
void AABB::merge_with(const AABB &p_aabb) {
|
|
|
|
Vector3 beg_1, beg_2;
|
|
Vector3 end_1, end_2;
|
|
Vector3 min, max;
|
|
|
|
beg_1 = position;
|
|
beg_2 = p_aabb.position;
|
|
end_1 = Vector3(size.x, size.y, size.z) + beg_1;
|
|
end_2 = Vector3(p_aabb.size.x, p_aabb.size.y, p_aabb.size.z) + beg_2;
|
|
|
|
min.x = (beg_1.x < beg_2.x) ? beg_1.x : beg_2.x;
|
|
min.y = (beg_1.y < beg_2.y) ? beg_1.y : beg_2.y;
|
|
min.z = (beg_1.z < beg_2.z) ? beg_1.z : beg_2.z;
|
|
|
|
max.x = (end_1.x > end_2.x) ? end_1.x : end_2.x;
|
|
max.y = (end_1.y > end_2.y) ? end_1.y : end_2.y;
|
|
max.z = (end_1.z > end_2.z) ? end_1.z : end_2.z;
|
|
|
|
position = min;
|
|
size = max - min;
|
|
}
|
|
|
|
bool AABB::is_equal_approx(const AABB &p_aabb) const {
|
|
|
|
return position.is_equal_approx(p_aabb.position) && size.is_equal_approx(p_aabb.size);
|
|
}
|
|
|
|
AABB AABB::intersection(const AABB &p_aabb) const {
|
|
|
|
Vector3 src_min = position;
|
|
Vector3 src_max = position + size;
|
|
Vector3 dst_min = p_aabb.position;
|
|
Vector3 dst_max = p_aabb.position + p_aabb.size;
|
|
|
|
Vector3 min, max;
|
|
|
|
if (src_min.x > dst_max.x || src_max.x < dst_min.x)
|
|
return AABB();
|
|
else {
|
|
|
|
min.x = (src_min.x > dst_min.x) ? src_min.x : dst_min.x;
|
|
max.x = (src_max.x < dst_max.x) ? src_max.x : dst_max.x;
|
|
}
|
|
|
|
if (src_min.y > dst_max.y || src_max.y < dst_min.y)
|
|
return AABB();
|
|
else {
|
|
|
|
min.y = (src_min.y > dst_min.y) ? src_min.y : dst_min.y;
|
|
max.y = (src_max.y < dst_max.y) ? src_max.y : dst_max.y;
|
|
}
|
|
|
|
if (src_min.z > dst_max.z || src_max.z < dst_min.z)
|
|
return AABB();
|
|
else {
|
|
|
|
min.z = (src_min.z > dst_min.z) ? src_min.z : dst_min.z;
|
|
max.z = (src_max.z < dst_max.z) ? src_max.z : dst_max.z;
|
|
}
|
|
|
|
return AABB(min, max - min);
|
|
}
|
|
|
|
bool AABB::intersects_ray(const Vector3 &p_from, const Vector3 &p_dir, Vector3 *r_clip, Vector3 *r_normal) const {
|
|
|
|
Vector3 c1, c2;
|
|
Vector3 end = position + size;
|
|
real_t near = -1e20;
|
|
real_t far = 1e20;
|
|
int axis = 0;
|
|
|
|
for (int i = 0; i < 3; i++) {
|
|
if (p_dir[i] == 0) {
|
|
if ((p_from[i] < position[i]) || (p_from[i] > end[i])) {
|
|
return false;
|
|
}
|
|
} else { // ray not parallel to planes in this direction
|
|
c1[i] = (position[i] - p_from[i]) / p_dir[i];
|
|
c2[i] = (end[i] - p_from[i]) / p_dir[i];
|
|
|
|
if (c1[i] > c2[i]) {
|
|
SWAP(c1, c2);
|
|
}
|
|
if (c1[i] > near) {
|
|
near = c1[i];
|
|
axis = i;
|
|
}
|
|
if (c2[i] < far) {
|
|
far = c2[i];
|
|
}
|
|
if ((near > far) || (far < 0)) {
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (r_clip)
|
|
*r_clip = c1;
|
|
if (r_normal) {
|
|
*r_normal = Vector3();
|
|
(*r_normal)[axis] = p_dir[axis] ? -1 : 1;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
bool AABB::intersects_segment(const Vector3 &p_from, const Vector3 &p_to, Vector3 *r_clip, Vector3 *r_normal) const {
|
|
|
|
real_t min = 0, max = 1;
|
|
int axis = 0;
|
|
real_t sign = 0;
|
|
|
|
for (int i = 0; i < 3; i++) {
|
|
real_t seg_from = p_from[i];
|
|
real_t seg_to = p_to[i];
|
|
real_t box_begin = position[i];
|
|
real_t box_end = box_begin + size[i];
|
|
real_t cmin, cmax;
|
|
real_t csign;
|
|
|
|
if (seg_from < seg_to) {
|
|
|
|
if (seg_from > box_end || seg_to < box_begin)
|
|
return false;
|
|
real_t length = seg_to - seg_from;
|
|
cmin = (seg_from < box_begin) ? ((box_begin - seg_from) / length) : 0;
|
|
cmax = (seg_to > box_end) ? ((box_end - seg_from) / length) : 1;
|
|
csign = -1.0;
|
|
|
|
} else {
|
|
|
|
if (seg_to > box_end || seg_from < box_begin)
|
|
return false;
|
|
real_t length = seg_to - seg_from;
|
|
cmin = (seg_from > box_end) ? (box_end - seg_from) / length : 0;
|
|
cmax = (seg_to < box_begin) ? (box_begin - seg_from) / length : 1;
|
|
csign = 1.0;
|
|
}
|
|
|
|
if (cmin > min) {
|
|
min = cmin;
|
|
axis = i;
|
|
sign = csign;
|
|
}
|
|
if (cmax < max)
|
|
max = cmax;
|
|
if (max < min)
|
|
return false;
|
|
}
|
|
|
|
Vector3 rel = p_to - p_from;
|
|
|
|
if (r_normal) {
|
|
Vector3 normal;
|
|
normal[axis] = sign;
|
|
*r_normal = normal;
|
|
}
|
|
|
|
if (r_clip)
|
|
*r_clip = p_from + rel * min;
|
|
|
|
return true;
|
|
}
|
|
|
|
bool AABB::intersects_plane(const Plane &p_plane) const {
|
|
|
|
Vector3 points[8] = {
|
|
Vector3(position.x, position.y, position.z),
|
|
Vector3(position.x, position.y, position.z + size.z),
|
|
Vector3(position.x, position.y + size.y, position.z),
|
|
Vector3(position.x, position.y + size.y, position.z + size.z),
|
|
Vector3(position.x + size.x, position.y, position.z),
|
|
Vector3(position.x + size.x, position.y, position.z + size.z),
|
|
Vector3(position.x + size.x, position.y + size.y, position.z),
|
|
Vector3(position.x + size.x, position.y + size.y, position.z + size.z),
|
|
};
|
|
|
|
bool over = false;
|
|
bool under = false;
|
|
|
|
for (int i = 0; i < 8; i++) {
|
|
|
|
if (p_plane.distance_to(points[i]) > 0)
|
|
over = true;
|
|
else
|
|
under = true;
|
|
}
|
|
|
|
return under && over;
|
|
}
|
|
|
|
Vector3 AABB::get_longest_axis() const {
|
|
|
|
Vector3 axis(1, 0, 0);
|
|
real_t max_size = size.x;
|
|
|
|
if (size.y > max_size) {
|
|
axis = Vector3(0, 1, 0);
|
|
max_size = size.y;
|
|
}
|
|
|
|
if (size.z > max_size) {
|
|
axis = Vector3(0, 0, 1);
|
|
}
|
|
|
|
return axis;
|
|
}
|
|
int AABB::get_longest_axis_index() const {
|
|
|
|
int axis = 0;
|
|
real_t max_size = size.x;
|
|
|
|
if (size.y > max_size) {
|
|
axis = 1;
|
|
max_size = size.y;
|
|
}
|
|
|
|
if (size.z > max_size) {
|
|
axis = 2;
|
|
}
|
|
|
|
return axis;
|
|
}
|
|
|
|
Vector3 AABB::get_shortest_axis() const {
|
|
|
|
Vector3 axis(1, 0, 0);
|
|
real_t max_size = size.x;
|
|
|
|
if (size.y < max_size) {
|
|
axis = Vector3(0, 1, 0);
|
|
max_size = size.y;
|
|
}
|
|
|
|
if (size.z < max_size) {
|
|
axis = Vector3(0, 0, 1);
|
|
}
|
|
|
|
return axis;
|
|
}
|
|
int AABB::get_shortest_axis_index() const {
|
|
|
|
int axis = 0;
|
|
real_t max_size = size.x;
|
|
|
|
if (size.y < max_size) {
|
|
axis = 1;
|
|
max_size = size.y;
|
|
}
|
|
|
|
if (size.z < max_size) {
|
|
axis = 2;
|
|
}
|
|
|
|
return axis;
|
|
}
|
|
|
|
AABB AABB::merge(const AABB &p_with) const {
|
|
|
|
AABB aabb = *this;
|
|
aabb.merge_with(p_with);
|
|
return aabb;
|
|
}
|
|
AABB AABB::expand(const Vector3 &p_vector) const {
|
|
AABB aabb = *this;
|
|
aabb.expand_to(p_vector);
|
|
return aabb;
|
|
}
|
|
AABB AABB::grow(real_t p_by) const {
|
|
|
|
AABB aabb = *this;
|
|
aabb.grow_by(p_by);
|
|
return aabb;
|
|
}
|
|
|
|
void AABB::get_edge(int p_edge, Vector3 &r_from, Vector3 &r_to) const {
|
|
|
|
ERR_FAIL_INDEX(p_edge, 12);
|
|
switch (p_edge) {
|
|
|
|
case 0: {
|
|
|
|
r_from = Vector3(position.x + size.x, position.y, position.z);
|
|
r_to = Vector3(position.x, position.y, position.z);
|
|
} break;
|
|
case 1: {
|
|
|
|
r_from = Vector3(position.x + size.x, position.y, position.z + size.z);
|
|
r_to = Vector3(position.x + size.x, position.y, position.z);
|
|
} break;
|
|
case 2: {
|
|
r_from = Vector3(position.x, position.y, position.z + size.z);
|
|
r_to = Vector3(position.x + size.x, position.y, position.z + size.z);
|
|
|
|
} break;
|
|
case 3: {
|
|
|
|
r_from = Vector3(position.x, position.y, position.z);
|
|
r_to = Vector3(position.x, position.y, position.z + size.z);
|
|
|
|
} break;
|
|
case 4: {
|
|
|
|
r_from = Vector3(position.x, position.y + size.y, position.z);
|
|
r_to = Vector3(position.x + size.x, position.y + size.y, position.z);
|
|
} break;
|
|
case 5: {
|
|
|
|
r_from = Vector3(position.x + size.x, position.y + size.y, position.z);
|
|
r_to = Vector3(position.x + size.x, position.y + size.y, position.z + size.z);
|
|
} break;
|
|
case 6: {
|
|
r_from = Vector3(position.x + size.x, position.y + size.y, position.z + size.z);
|
|
r_to = Vector3(position.x, position.y + size.y, position.z + size.z);
|
|
|
|
} break;
|
|
case 7: {
|
|
|
|
r_from = Vector3(position.x, position.y + size.y, position.z + size.z);
|
|
r_to = Vector3(position.x, position.y + size.y, position.z);
|
|
|
|
} break;
|
|
case 8: {
|
|
|
|
r_from = Vector3(position.x, position.y, position.z + size.z);
|
|
r_to = Vector3(position.x, position.y + size.y, position.z + size.z);
|
|
|
|
} break;
|
|
case 9: {
|
|
|
|
r_from = Vector3(position.x, position.y, position.z);
|
|
r_to = Vector3(position.x, position.y + size.y, position.z);
|
|
|
|
} break;
|
|
case 10: {
|
|
|
|
r_from = Vector3(position.x + size.x, position.y, position.z);
|
|
r_to = Vector3(position.x + size.x, position.y + size.y, position.z);
|
|
|
|
} break;
|
|
case 11: {
|
|
|
|
r_from = Vector3(position.x + size.x, position.y, position.z + size.z);
|
|
r_to = Vector3(position.x + size.x, position.y + size.y, position.z + size.z);
|
|
|
|
} break;
|
|
}
|
|
}
|
|
|
|
AABB::operator String() const {
|
|
|
|
return String() + position + " - " + size;
|
|
}
|