summaryrefslogtreecommitdiff
path: root/core/math
diff options
context:
space:
mode:
Diffstat (limited to 'core/math')
-rw-r--r--core/math/a_star.cpp170
-rw-r--r--core/math/a_star.h122
-rw-r--r--core/math/audio_frame.h2
-rw-r--r--core/math/basis.cpp25
-rw-r--r--core/math/basis.h24
-rw-r--r--core/math/bvh.h2
-rw-r--r--core/math/bvh_public.inc6
-rw-r--r--core/math/color.h12
-rw-r--r--core/math/delaunay_3d.h6
-rw-r--r--core/math/expression.cpp40
-rw-r--r--core/math/expression.h4
-rw-r--r--core/math/math_fieldwise.cpp30
-rw-r--r--core/math/math_funcs.h33
-rw-r--r--core/math/octree.h1271
-rw-r--r--core/math/plane.h6
-rw-r--r--core/math/projection.cpp (renamed from core/math/camera_matrix.cpp)255
-rw-r--r--core/math/projection.h (renamed from core/math/camera_matrix.h)59
-rw-r--r--core/math/quaternion.cpp64
-rw-r--r--core/math/quaternion.h4
-rw-r--r--core/math/transform_2d.cpp40
-rw-r--r--core/math/transform_2d.h9
-rw-r--r--core/math/transform_3d.cpp44
-rw-r--r--core/math/transform_3d.h9
-rw-r--r--core/math/triangle_mesh.cpp16
-rw-r--r--core/math/triangle_mesh.h7
-rw-r--r--core/math/vector2.cpp7
-rw-r--r--core/math/vector2.h24
-rw-r--r--core/math/vector3.cpp8
-rw-r--r--core/math/vector3.h36
-rw-r--r--core/math/vector4.cpp172
-rw-r--r--core/math/vector4.h302
-rw-r--r--core/math/vector4i.cpp91
-rw-r--r--core/math/vector4i.h338
33 files changed, 1624 insertions, 1614 deletions
diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp
index efa970c681..41a0848d01 100644
--- a/core/math/a_star.cpp
+++ b/core/math/a_star.cpp
@@ -33,19 +33,19 @@
#include "core/math/geometry_3d.h"
#include "core/object/script_language.h"
-int AStar3D::get_available_point_id() const {
+int64_t AStar3D::get_available_point_id() const {
if (points.has(last_free_id)) {
- int cur_new_id = last_free_id + 1;
+ int64_t cur_new_id = last_free_id + 1;
while (points.has(cur_new_id)) {
cur_new_id++;
}
- const_cast<int &>(last_free_id) = cur_new_id;
+ const_cast<int64_t &>(last_free_id) = cur_new_id;
}
return last_free_id;
}
-void AStar3D::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) {
+void AStar3D::add_point(int64_t p_id, const Vector3 &p_pos, real_t p_weight_scale) {
ERR_FAIL_COND_MSG(p_id < 0, vformat("Can't add a point with negative id: %d.", p_id));
ERR_FAIL_COND_MSG(p_weight_scale < 0.0, vformat("Can't add a point with weight scale less than 0.0: %f.", p_weight_scale));
@@ -68,7 +68,7 @@ void AStar3D::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) {
}
}
-Vector3 AStar3D::get_point_position(int p_id) const {
+Vector3 AStar3D::get_point_position(int64_t p_id) const {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_V_MSG(!p_exists, Vector3(), vformat("Can't get point's position. Point with id: %d doesn't exist.", p_id));
@@ -76,7 +76,7 @@ Vector3 AStar3D::get_point_position(int p_id) const {
return p->pos;
}
-void AStar3D::set_point_position(int p_id, const Vector3 &p_pos) {
+void AStar3D::set_point_position(int64_t p_id, const Vector3 &p_pos) {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_MSG(!p_exists, vformat("Can't set point's position. Point with id: %d doesn't exist.", p_id));
@@ -84,7 +84,7 @@ void AStar3D::set_point_position(int p_id, const Vector3 &p_pos) {
p->pos = p_pos;
}
-real_t AStar3D::get_point_weight_scale(int p_id) const {
+real_t AStar3D::get_point_weight_scale(int64_t p_id) const {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_V_MSG(!p_exists, 0, vformat("Can't get point's weight scale. Point with id: %d doesn't exist.", p_id));
@@ -92,7 +92,7 @@ real_t AStar3D::get_point_weight_scale(int p_id) const {
return p->weight_scale;
}
-void AStar3D::set_point_weight_scale(int p_id, real_t p_weight_scale) {
+void AStar3D::set_point_weight_scale(int64_t p_id, real_t p_weight_scale) {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_MSG(!p_exists, vformat("Can't set point's weight scale. Point with id: %d doesn't exist.", p_id));
@@ -101,12 +101,12 @@ void AStar3D::set_point_weight_scale(int p_id, real_t p_weight_scale) {
p->weight_scale = p_weight_scale;
}
-void AStar3D::remove_point(int p_id) {
+void AStar3D::remove_point(int64_t p_id) {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_MSG(!p_exists, vformat("Can't remove point. Point with id: %d doesn't exist.", p_id));
- for (OAHashMap<int, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
Segment s(p_id, (*it.key));
segments.erase(s);
@@ -114,7 +114,7 @@ void AStar3D::remove_point(int p_id) {
(*it.value)->unlinked_neighbours.remove(p->id);
}
- for (OAHashMap<int, Point *>::Iterator it = p->unlinked_neighbours.iter(); it.valid; it = p->unlinked_neighbours.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = p->unlinked_neighbours.iter(); it.valid; it = p->unlinked_neighbours.next_iter(it)) {
Segment s(p_id, (*it.key));
segments.erase(s);
@@ -127,7 +127,7 @@ void AStar3D::remove_point(int p_id) {
last_free_id = p_id;
}
-void AStar3D::connect_points(int p_id, int p_with_id, bool bidirectional) {
+void AStar3D::connect_points(int64_t p_id, int64_t p_with_id, bool bidirectional) {
ERR_FAIL_COND_MSG(p_id == p_with_id, vformat("Can't connect point with id: %d to itself.", p_id));
Point *a;
@@ -165,7 +165,7 @@ void AStar3D::connect_points(int p_id, int p_with_id, bool bidirectional) {
segments.insert(s);
}
-void AStar3D::disconnect_points(int p_id, int p_with_id, bool bidirectional) {
+void AStar3D::disconnect_points(int64_t p_id, int64_t p_with_id, bool bidirectional) {
Point *a;
bool a_exists = points.lookup(p_id, a);
ERR_FAIL_COND_MSG(!a_exists, vformat("Can't disconnect points. Point with id: %d doesn't exist.", p_id));
@@ -175,7 +175,7 @@ void AStar3D::disconnect_points(int p_id, int p_with_id, bool bidirectional) {
ERR_FAIL_COND_MSG(!b_exists, vformat("Can't disconnect points. Point with id: %d doesn't exist.", p_with_id));
Segment s(p_id, p_with_id);
- int remove_direction = bidirectional ? (int)Segment::BIDIRECTIONAL : s.direction;
+ int remove_direction = bidirectional ? (int)Segment::BIDIRECTIONAL : (int)s.direction;
HashSet<Segment, Segment>::Iterator element = segments.find(s);
if (element) {
@@ -205,35 +205,35 @@ void AStar3D::disconnect_points(int p_id, int p_with_id, bool bidirectional) {
}
}
-bool AStar3D::has_point(int p_id) const {
+bool AStar3D::has_point(int64_t p_id) const {
return points.has(p_id);
}
Array AStar3D::get_point_ids() {
Array point_list;
- for (OAHashMap<int, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
point_list.push_back(*(it.key));
}
return point_list;
}
-Vector<int> AStar3D::get_point_connections(int p_id) {
+Vector<int64_t> AStar3D::get_point_connections(int64_t p_id) {
Point *p;
bool p_exists = points.lookup(p_id, p);
- ERR_FAIL_COND_V_MSG(!p_exists, Vector<int>(), vformat("Can't get point's connections. Point with id: %d doesn't exist.", p_id));
+ ERR_FAIL_COND_V_MSG(!p_exists, Vector<int64_t>(), vformat("Can't get point's connections. Point with id: %d doesn't exist.", p_id));
- Vector<int> point_list;
+ Vector<int64_t> point_list;
- for (OAHashMap<int, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
point_list.push_back((*it.key));
}
return point_list;
}
-bool AStar3D::are_points_connected(int p_id, int p_with_id, bool bidirectional) const {
+bool AStar3D::are_points_connected(int64_t p_id, int64_t p_with_id, bool bidirectional) const {
Segment s(p_id, p_with_id);
const HashSet<Segment, Segment>::Iterator element = segments.find(s);
@@ -243,32 +243,32 @@ bool AStar3D::are_points_connected(int p_id, int p_with_id, bool bidirectional)
void AStar3D::clear() {
last_free_id = 0;
- for (OAHashMap<int, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
memdelete(*(it.value));
}
segments.clear();
points.clear();
}
-int AStar3D::get_point_count() const {
+int64_t AStar3D::get_point_count() const {
return points.get_num_elements();
}
-int AStar3D::get_point_capacity() const {
+int64_t AStar3D::get_point_capacity() const {
return points.get_capacity();
}
-void AStar3D::reserve_space(int p_num_nodes) {
+void AStar3D::reserve_space(int64_t p_num_nodes) {
ERR_FAIL_COND_MSG(p_num_nodes <= 0, vformat("New capacity must be greater than 0, new was: %d.", p_num_nodes));
ERR_FAIL_COND_MSG((uint32_t)p_num_nodes < points.get_capacity(), vformat("New capacity must be greater than current capacity: %d, new was: %d.", points.get_capacity(), p_num_nodes));
points.reserve(p_num_nodes);
}
-int AStar3D::get_closest_point(const Vector3 &p_point, bool p_include_disabled) const {
- int closest_id = -1;
+int64_t AStar3D::get_closest_point(const Vector3 &p_point, bool p_include_disabled) const {
+ int64_t closest_id = -1;
real_t closest_dist = 1e20;
- for (OAHashMap<int, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
if (!p_include_disabled && !(*it.value)->enabled) {
continue; // Disabled points should not be considered.
}
@@ -276,7 +276,7 @@ int AStar3D::get_closest_point(const Vector3 &p_point, bool p_include_disabled)
// Keep the closest point's ID, and in case of multiple closest IDs,
// the smallest one (makes it deterministic).
real_t d = p_point.distance_squared_to((*it.value)->pos);
- int id = *(it.key);
+ int64_t id = *(it.key);
if (d <= closest_dist) {
if (d == closest_dist && id > closest_id) { // Keep lowest ID.
continue;
@@ -295,8 +295,8 @@ Vector3 AStar3D::get_closest_position_in_segment(const Vector3 &p_point) const {
for (const Segment &E : segments) {
Point *from_point = nullptr, *to_point = nullptr;
- points.lookup(E.u, from_point);
- points.lookup(E.v, to_point);
+ points.lookup(E.key.first, from_point);
+ points.lookup(E.key.second, to_point);
if (!(from_point->enabled && to_point->enabled)) {
continue;
@@ -346,7 +346,7 @@ bool AStar3D::_solve(Point *begin_point, Point *end_point) {
open_list.remove_at(open_list.size() - 1);
p->closed_pass = pass; // Mark the point as closed
- for (OAHashMap<int, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
+ for (OAHashMap<int64_t, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
Point *e = *(it.value); // The neighbour point
if (!e->enabled || e->closed_pass == pass) {
@@ -380,7 +380,7 @@ bool AStar3D::_solve(Point *begin_point, Point *end_point) {
return found_route;
}
-real_t AStar3D::_estimate_cost(int p_from_id, int p_to_id) {
+real_t AStar3D::_estimate_cost(int64_t p_from_id, int64_t p_to_id) {
real_t scost;
if (GDVIRTUAL_CALL(_estimate_cost, p_from_id, p_to_id, scost)) {
return scost;
@@ -397,7 +397,7 @@ real_t AStar3D::_estimate_cost(int p_from_id, int p_to_id) {
return from_point->pos.distance_to(to_point->pos);
}
-real_t AStar3D::_compute_cost(int p_from_id, int p_to_id) {
+real_t AStar3D::_compute_cost(int64_t p_from_id, int64_t p_to_id) {
real_t scost;
if (GDVIRTUAL_CALL(_compute_cost, p_from_id, p_to_id, scost)) {
return scost;
@@ -414,7 +414,7 @@ real_t AStar3D::_compute_cost(int p_from_id, int p_to_id) {
return from_point->pos.distance_to(to_point->pos);
}
-Vector<Vector3> AStar3D::get_point_path(int p_from_id, int p_to_id) {
+Vector<Vector3> AStar3D::get_point_path(int64_t p_from_id, int64_t p_to_id) {
Point *a;
bool from_exists = points.lookup(p_from_id, a);
ERR_FAIL_COND_V_MSG(!from_exists, Vector<Vector3>(), vformat("Can't get point path. Point with id: %d doesn't exist.", p_from_id));
@@ -438,7 +438,7 @@ Vector<Vector3> AStar3D::get_point_path(int p_from_id, int p_to_id) {
}
Point *p = end_point;
- int pc = 1; // Begin point
+ int64_t pc = 1; // Begin point
while (p != begin_point) {
pc++;
p = p->prev_point;
@@ -451,7 +451,7 @@ Vector<Vector3> AStar3D::get_point_path(int p_from_id, int p_to_id) {
Vector3 *w = path.ptrw();
Point *p2 = end_point;
- int idx = pc - 1;
+ int64_t idx = pc - 1;
while (p2 != begin_point) {
w[idx--] = p2->pos;
p2 = p2->prev_point;
@@ -463,17 +463,17 @@ Vector<Vector3> AStar3D::get_point_path(int p_from_id, int p_to_id) {
return path;
}
-Vector<int> AStar3D::get_id_path(int p_from_id, int p_to_id) {
+Vector<int64_t> AStar3D::get_id_path(int64_t p_from_id, int64_t p_to_id) {
Point *a;
bool from_exists = points.lookup(p_from_id, a);
- ERR_FAIL_COND_V_MSG(!from_exists, Vector<int>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_from_id));
+ ERR_FAIL_COND_V_MSG(!from_exists, Vector<int64_t>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_from_id));
Point *b;
bool to_exists = points.lookup(p_to_id, b);
- ERR_FAIL_COND_V_MSG(!to_exists, Vector<int>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_to_id));
+ ERR_FAIL_COND_V_MSG(!to_exists, Vector<int64_t>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_to_id));
if (a == b) {
- Vector<int> ret;
+ Vector<int64_t> ret;
ret.push_back(a->id);
return ret;
}
@@ -483,24 +483,24 @@ Vector<int> AStar3D::get_id_path(int p_from_id, int p_to_id) {
bool found_route = _solve(begin_point, end_point);
if (!found_route) {
- return Vector<int>();
+ return Vector<int64_t>();
}
Point *p = end_point;
- int pc = 1; // Begin point
+ int64_t pc = 1; // Begin point
while (p != begin_point) {
pc++;
p = p->prev_point;
}
- Vector<int> path;
+ Vector<int64_t> path;
path.resize(pc);
{
- int *w = path.ptrw();
+ int64_t *w = path.ptrw();
p = end_point;
- int idx = pc - 1;
+ int64_t idx = pc - 1;
while (p != begin_point) {
w[idx--] = p->id;
p = p->prev_point;
@@ -512,7 +512,7 @@ Vector<int> AStar3D::get_id_path(int p_from_id, int p_to_id) {
return path;
}
-void AStar3D::set_point_disabled(int p_id, bool p_disabled) {
+void AStar3D::set_point_disabled(int64_t p_id, bool p_disabled) {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_MSG(!p_exists, vformat("Can't set if point is disabled. Point with id: %d doesn't exist.", p_id));
@@ -520,7 +520,7 @@ void AStar3D::set_point_disabled(int p_id, bool p_disabled) {
p->enabled = !p_disabled;
}
-bool AStar3D::is_point_disabled(int p_id) const {
+bool AStar3D::is_point_disabled(int64_t p_id) const {
Point *p;
bool p_exists = points.lookup(p_id, p);
ERR_FAIL_COND_V_MSG(!p_exists, false, vformat("Can't get if point is disabled. Point with id: %d doesn't exist.", p_id));
@@ -568,40 +568,40 @@ AStar3D::~AStar3D() {
/////////////////////////////////////////////////////////////
-int AStar2D::get_available_point_id() const {
+int64_t AStar2D::get_available_point_id() const {
return astar.get_available_point_id();
}
-void AStar2D::add_point(int p_id, const Vector2 &p_pos, real_t p_weight_scale) {
+void AStar2D::add_point(int64_t p_id, const Vector2 &p_pos, real_t p_weight_scale) {
astar.add_point(p_id, Vector3(p_pos.x, p_pos.y, 0), p_weight_scale);
}
-Vector2 AStar2D::get_point_position(int p_id) const {
+Vector2 AStar2D::get_point_position(int64_t p_id) const {
Vector3 p = astar.get_point_position(p_id);
return Vector2(p.x, p.y);
}
-void AStar2D::set_point_position(int p_id, const Vector2 &p_pos) {
+void AStar2D::set_point_position(int64_t p_id, const Vector2 &p_pos) {
astar.set_point_position(p_id, Vector3(p_pos.x, p_pos.y, 0));
}
-real_t AStar2D::get_point_weight_scale(int p_id) const {
+real_t AStar2D::get_point_weight_scale(int64_t p_id) const {
return astar.get_point_weight_scale(p_id);
}
-void AStar2D::set_point_weight_scale(int p_id, real_t p_weight_scale) {
+void AStar2D::set_point_weight_scale(int64_t p_id, real_t p_weight_scale) {
astar.set_point_weight_scale(p_id, p_weight_scale);
}
-void AStar2D::remove_point(int p_id) {
+void AStar2D::remove_point(int64_t p_id) {
astar.remove_point(p_id);
}
-bool AStar2D::has_point(int p_id) const {
+bool AStar2D::has_point(int64_t p_id) const {
return astar.has_point(p_id);
}
-Vector<int> AStar2D::get_point_connections(int p_id) {
+Vector<int64_t> AStar2D::get_point_connections(int64_t p_id) {
return astar.get_point_connections(p_id);
}
@@ -609,31 +609,31 @@ Array AStar2D::get_point_ids() {
return astar.get_point_ids();
}
-void AStar2D::set_point_disabled(int p_id, bool p_disabled) {
+void AStar2D::set_point_disabled(int64_t p_id, bool p_disabled) {
astar.set_point_disabled(p_id, p_disabled);
}
-bool AStar2D::is_point_disabled(int p_id) const {
+bool AStar2D::is_point_disabled(int64_t p_id) const {
return astar.is_point_disabled(p_id);
}
-void AStar2D::connect_points(int p_id, int p_with_id, bool p_bidirectional) {
+void AStar2D::connect_points(int64_t p_id, int64_t p_with_id, bool p_bidirectional) {
astar.connect_points(p_id, p_with_id, p_bidirectional);
}
-void AStar2D::disconnect_points(int p_id, int p_with_id) {
- astar.disconnect_points(p_id, p_with_id);
+void AStar2D::disconnect_points(int64_t p_id, int64_t p_with_id, bool p_bidirectional) {
+ astar.disconnect_points(p_id, p_with_id, p_bidirectional);
}
-bool AStar2D::are_points_connected(int p_id, int p_with_id) const {
- return astar.are_points_connected(p_id, p_with_id);
+bool AStar2D::are_points_connected(int64_t p_id, int64_t p_with_id, bool p_bidirectional) const {
+ return astar.are_points_connected(p_id, p_with_id, p_bidirectional);
}
-int AStar2D::get_point_count() const {
+int64_t AStar2D::get_point_count() const {
return astar.get_point_count();
}
-int AStar2D::get_point_capacity() const {
+int64_t AStar2D::get_point_capacity() const {
return astar.get_point_capacity();
}
@@ -641,11 +641,11 @@ void AStar2D::clear() {
astar.clear();
}
-void AStar2D::reserve_space(int p_num_nodes) {
+void AStar2D::reserve_space(int64_t p_num_nodes) {
astar.reserve_space(p_num_nodes);
}
-int AStar2D::get_closest_point(const Vector2 &p_point, bool p_include_disabled) const {
+int64_t AStar2D::get_closest_point(const Vector2 &p_point, bool p_include_disabled) const {
return astar.get_closest_point(Vector3(p_point.x, p_point.y, 0), p_include_disabled);
}
@@ -654,7 +654,7 @@ Vector2 AStar2D::get_closest_position_in_segment(const Vector2 &p_point) const {
return Vector2(p.x, p.y);
}
-real_t AStar2D::_estimate_cost(int p_from_id, int p_to_id) {
+real_t AStar2D::_estimate_cost(int64_t p_from_id, int64_t p_to_id) {
real_t scost;
if (GDVIRTUAL_CALL(_estimate_cost, p_from_id, p_to_id, scost)) {
return scost;
@@ -671,7 +671,7 @@ real_t AStar2D::_estimate_cost(int p_from_id, int p_to_id) {
return from_point->pos.distance_to(to_point->pos);
}
-real_t AStar2D::_compute_cost(int p_from_id, int p_to_id) {
+real_t AStar2D::_compute_cost(int64_t p_from_id, int64_t p_to_id) {
real_t scost;
if (GDVIRTUAL_CALL(_compute_cost, p_from_id, p_to_id, scost)) {
return scost;
@@ -688,7 +688,7 @@ real_t AStar2D::_compute_cost(int p_from_id, int p_to_id) {
return from_point->pos.distance_to(to_point->pos);
}
-Vector<Vector2> AStar2D::get_point_path(int p_from_id, int p_to_id) {
+Vector<Vector2> AStar2D::get_point_path(int64_t p_from_id, int64_t p_to_id) {
AStar3D::Point *a;
bool from_exists = astar.points.lookup(p_from_id, a);
ERR_FAIL_COND_V_MSG(!from_exists, Vector<Vector2>(), vformat("Can't get point path. Point with id: %d doesn't exist.", p_from_id));
@@ -711,7 +711,7 @@ Vector<Vector2> AStar2D::get_point_path(int p_from_id, int p_to_id) {
}
AStar3D::Point *p = end_point;
- int pc = 1; // Begin point
+ int64_t pc = 1; // Begin point
while (p != begin_point) {
pc++;
p = p->prev_point;
@@ -724,7 +724,7 @@ Vector<Vector2> AStar2D::get_point_path(int p_from_id, int p_to_id) {
Vector2 *w = path.ptrw();
AStar3D::Point *p2 = end_point;
- int idx = pc - 1;
+ int64_t idx = pc - 1;
while (p2 != begin_point) {
w[idx--] = Vector2(p2->pos.x, p2->pos.y);
p2 = p2->prev_point;
@@ -736,17 +736,17 @@ Vector<Vector2> AStar2D::get_point_path(int p_from_id, int p_to_id) {
return path;
}
-Vector<int> AStar2D::get_id_path(int p_from_id, int p_to_id) {
+Vector<int64_t> AStar2D::get_id_path(int64_t p_from_id, int64_t p_to_id) {
AStar3D::Point *a;
bool from_exists = astar.points.lookup(p_from_id, a);
- ERR_FAIL_COND_V_MSG(!from_exists, Vector<int>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_from_id));
+ ERR_FAIL_COND_V_MSG(!from_exists, Vector<int64_t>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_from_id));
AStar3D::Point *b;
bool to_exists = astar.points.lookup(p_to_id, b);
- ERR_FAIL_COND_V_MSG(!to_exists, Vector<int>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_to_id));
+ ERR_FAIL_COND_V_MSG(!to_exists, Vector<int64_t>(), vformat("Can't get id path. Point with id: %d doesn't exist.", p_to_id));
if (a == b) {
- Vector<int> ret;
+ Vector<int64_t> ret;
ret.push_back(a->id);
return ret;
}
@@ -756,24 +756,24 @@ Vector<int> AStar2D::get_id_path(int p_from_id, int p_to_id) {
bool found_route = _solve(begin_point, end_point);
if (!found_route) {
- return Vector<int>();
+ return Vector<int64_t>();
}
AStar3D::Point *p = end_point;
- int pc = 1; // Begin point
+ int64_t pc = 1; // Begin point
while (p != begin_point) {
pc++;
p = p->prev_point;
}
- Vector<int> path;
+ Vector<int64_t> path;
path.resize(pc);
{
- int *w = path.ptrw();
+ int64_t *w = path.ptrw();
p = end_point;
- int idx = pc - 1;
+ int64_t idx = pc - 1;
while (p != begin_point) {
w[idx--] = p->id;
p = p->prev_point;
@@ -813,7 +813,7 @@ bool AStar2D::_solve(AStar3D::Point *begin_point, AStar3D::Point *end_point) {
open_list.remove_at(open_list.size() - 1);
p->closed_pass = astar.pass; // Mark the point as closed
- for (OAHashMap<int, AStar3D::Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
+ for (OAHashMap<int64_t, AStar3D::Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
AStar3D::Point *e = *(it.value); // The neighbour point
if (!e->enabled || e->closed_pass == astar.pass) {
@@ -863,8 +863,8 @@ void AStar2D::_bind_methods() {
ClassDB::bind_method(D_METHOD("is_point_disabled", "id"), &AStar2D::is_point_disabled);
ClassDB::bind_method(D_METHOD("connect_points", "id", "to_id", "bidirectional"), &AStar2D::connect_points, DEFVAL(true));
- ClassDB::bind_method(D_METHOD("disconnect_points", "id", "to_id"), &AStar2D::disconnect_points);
- ClassDB::bind_method(D_METHOD("are_points_connected", "id", "to_id"), &AStar2D::are_points_connected);
+ ClassDB::bind_method(D_METHOD("disconnect_points", "id", "to_id", "bidirectional"), &AStar2D::disconnect_points, DEFVAL(true));
+ ClassDB::bind_method(D_METHOD("are_points_connected", "id", "to_id", "bidirectional"), &AStar2D::are_points_connected, DEFVAL(true));
ClassDB::bind_method(D_METHOD("get_point_count"), &AStar2D::get_point_count);
ClassDB::bind_method(D_METHOD("get_point_capacity"), &AStar2D::get_point_capacity);
diff --git a/core/math/a_star.h b/core/math/a_star.h
index e2f75ad18c..c1497d133f 100644
--- a/core/math/a_star.h
+++ b/core/math/a_star.h
@@ -47,13 +47,13 @@ class AStar3D : public RefCounted {
struct Point {
Point() {}
- int id = 0;
+ int64_t id = 0;
Vector3 pos;
real_t weight_scale = 0;
bool enabled = false;
- OAHashMap<int, Point *> neighbours = 4u;
- OAHashMap<int, Point *> unlinked_neighbours = 4u;
+ OAHashMap<int64_t, Point *> neighbours = 4u;
+ OAHashMap<int64_t, Point *> unlinked_neighbours = 4u;
// Used for pathfinding.
Point *prev_point = nullptr;
@@ -76,13 +76,7 @@ class AStar3D : public RefCounted {
};
struct Segment {
- union {
- struct {
- int32_t u;
- int32_t v;
- };
- uint64_t key = 0;
- };
+ Pair<int64_t, int64_t> key;
enum {
NONE = 0,
@@ -93,28 +87,28 @@ class AStar3D : public RefCounted {
unsigned char direction = NONE;
static uint32_t hash(const Segment &p_seg) {
- return hash_one_uint64(p_seg.key);
+ return PairHash<int64_t, int64_t>().hash(p_seg.key);
}
bool operator==(const Segment &p_s) const { return key == p_s.key; }
Segment() {}
- Segment(int p_from, int p_to) {
+ Segment(int64_t p_from, int64_t p_to) {
if (p_from < p_to) {
- u = p_from;
- v = p_to;
+ key.first = p_from;
+ key.second = p_to;
direction = FORWARD;
} else {
- u = p_to;
- v = p_from;
+ key.first = p_to;
+ key.second = p_from;
direction = BACKWARD;
}
}
};
- int last_free_id = 0;
+ int64_t last_free_id = 0;
uint64_t pass = 1;
- OAHashMap<int, Point *> points;
+ OAHashMap<int64_t, Point *> points;
HashSet<Segment, Segment> segments;
bool _solve(Point *begin_point, Point *end_point);
@@ -122,42 +116,42 @@ class AStar3D : public RefCounted {
protected:
static void _bind_methods();
- virtual real_t _estimate_cost(int p_from_id, int p_to_id);
- virtual real_t _compute_cost(int p_from_id, int p_to_id);
+ virtual real_t _estimate_cost(int64_t p_from_id, int64_t p_to_id);
+ virtual real_t _compute_cost(int64_t p_from_id, int64_t p_to_id);
GDVIRTUAL2RC(real_t, _estimate_cost, int64_t, int64_t)
GDVIRTUAL2RC(real_t, _compute_cost, int64_t, int64_t)
public:
- int get_available_point_id() const;
-
- void add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale = 1);
- Vector3 get_point_position(int p_id) const;
- void set_point_position(int p_id, const Vector3 &p_pos);
- real_t get_point_weight_scale(int p_id) const;
- void set_point_weight_scale(int p_id, real_t p_weight_scale);
- void remove_point(int p_id);
- bool has_point(int p_id) const;
- Vector<int> get_point_connections(int p_id);
+ int64_t get_available_point_id() const;
+
+ void add_point(int64_t p_id, const Vector3 &p_pos, real_t p_weight_scale = 1);
+ Vector3 get_point_position(int64_t p_id) const;
+ void set_point_position(int64_t p_id, const Vector3 &p_pos);
+ real_t get_point_weight_scale(int64_t p_id) const;
+ void set_point_weight_scale(int64_t p_id, real_t p_weight_scale);
+ void remove_point(int64_t p_id);
+ bool has_point(int64_t p_id) const;
+ Vector<int64_t> get_point_connections(int64_t p_id);
Array get_point_ids();
- void set_point_disabled(int p_id, bool p_disabled = true);
- bool is_point_disabled(int p_id) const;
+ void set_point_disabled(int64_t p_id, bool p_disabled = true);
+ bool is_point_disabled(int64_t p_id) const;
- void connect_points(int p_id, int p_with_id, bool bidirectional = true);
- void disconnect_points(int p_id, int p_with_id, bool bidirectional = true);
- bool are_points_connected(int p_id, int p_with_id, bool bidirectional = true) const;
+ void connect_points(int64_t p_id, int64_t p_with_id, bool bidirectional = true);
+ void disconnect_points(int64_t p_id, int64_t p_with_id, bool bidirectional = true);
+ bool are_points_connected(int64_t p_id, int64_t p_with_id, bool bidirectional = true) const;
- int get_point_count() const;
- int get_point_capacity() const;
- void reserve_space(int p_num_nodes);
+ int64_t get_point_count() const;
+ int64_t get_point_capacity() const;
+ void reserve_space(int64_t p_num_nodes);
void clear();
- int get_closest_point(const Vector3 &p_point, bool p_include_disabled = false) const;
+ int64_t get_closest_point(const Vector3 &p_point, bool p_include_disabled = false) const;
Vector3 get_closest_position_in_segment(const Vector3 &p_point) const;
- Vector<Vector3> get_point_path(int p_from_id, int p_to_id);
- Vector<int> get_id_path(int p_from_id, int p_to_id);
+ Vector<Vector3> get_point_path(int64_t p_from_id, int64_t p_to_id);
+ Vector<int64_t> get_id_path(int64_t p_from_id, int64_t p_to_id);
AStar3D() {}
~AStar3D();
@@ -172,42 +166,42 @@ class AStar2D : public RefCounted {
protected:
static void _bind_methods();
- virtual real_t _estimate_cost(int p_from_id, int p_to_id);
- virtual real_t _compute_cost(int p_from_id, int p_to_id);
+ virtual real_t _estimate_cost(int64_t p_from_id, int64_t p_to_id);
+ virtual real_t _compute_cost(int64_t p_from_id, int64_t p_to_id);
GDVIRTUAL2RC(real_t, _estimate_cost, int64_t, int64_t)
GDVIRTUAL2RC(real_t, _compute_cost, int64_t, int64_t)
public:
- int get_available_point_id() const;
-
- void add_point(int p_id, const Vector2 &p_pos, real_t p_weight_scale = 1);
- Vector2 get_point_position(int p_id) const;
- void set_point_position(int p_id, const Vector2 &p_pos);
- real_t get_point_weight_scale(int p_id) const;
- void set_point_weight_scale(int p_id, real_t p_weight_scale);
- void remove_point(int p_id);
- bool has_point(int p_id) const;
- Vector<int> get_point_connections(int p_id);
+ int64_t get_available_point_id() const;
+
+ void add_point(int64_t p_id, const Vector2 &p_pos, real_t p_weight_scale = 1);
+ Vector2 get_point_position(int64_t p_id) const;
+ void set_point_position(int64_t p_id, const Vector2 &p_pos);
+ real_t get_point_weight_scale(int64_t p_id) const;
+ void set_point_weight_scale(int64_t p_id, real_t p_weight_scale);
+ void remove_point(int64_t p_id);
+ bool has_point(int64_t p_id) const;
+ Vector<int64_t> get_point_connections(int64_t p_id);
Array get_point_ids();
- void set_point_disabled(int p_id, bool p_disabled = true);
- bool is_point_disabled(int p_id) const;
+ void set_point_disabled(int64_t p_id, bool p_disabled = true);
+ bool is_point_disabled(int64_t p_id) const;
- void connect_points(int p_id, int p_with_id, bool p_bidirectional = true);
- void disconnect_points(int p_id, int p_with_id);
- bool are_points_connected(int p_id, int p_with_id) const;
+ void connect_points(int64_t p_id, int64_t p_with_id, bool p_bidirectional = true);
+ void disconnect_points(int64_t p_id, int64_t p_with_id, bool p_bidirectional = true);
+ bool are_points_connected(int64_t p_id, int64_t p_with_id, bool p_bidirectional = true) const;
- int get_point_count() const;
- int get_point_capacity() const;
- void reserve_space(int p_num_nodes);
+ int64_t get_point_count() const;
+ int64_t get_point_capacity() const;
+ void reserve_space(int64_t p_num_nodes);
void clear();
- int get_closest_point(const Vector2 &p_point, bool p_include_disabled = false) const;
+ int64_t get_closest_point(const Vector2 &p_point, bool p_include_disabled = false) const;
Vector2 get_closest_position_in_segment(const Vector2 &p_point) const;
- Vector<Vector2> get_point_path(int p_from_id, int p_to_id);
- Vector<int> get_id_path(int p_from_id, int p_to_id);
+ Vector<Vector2> get_point_path(int64_t p_from_id, int64_t p_to_id);
+ Vector<int64_t> get_id_path(int64_t p_from_id, int64_t p_to_id);
AStar2D() {}
~AStar2D() {}
diff --git a/core/math/audio_frame.h b/core/math/audio_frame.h
index 8b244e9fe4..b3d63c0094 100644
--- a/core/math/audio_frame.h
+++ b/core/math/audio_frame.h
@@ -52,7 +52,7 @@ static const float AUDIO_MIN_PEAK_DB = -200.0f; // linear2db(AUDIO_PEAK_OFFSET)
struct AudioFrame {
//left and right samples
- float l, r;
+ float l = 0.f, r = 0.f;
_ALWAYS_INLINE_ const float &operator[](int idx) const { return idx == 0 ? l : r; }
_ALWAYS_INLINE_ float &operator[](int idx) { return idx == 0 ? l : r; }
diff --git a/core/math/basis.cpp b/core/math/basis.cpp
index 65353d8118..f8e7c47107 100644
--- a/core/math/basis.cpp
+++ b/core/math/basis.cpp
@@ -365,12 +365,12 @@ Basis Basis::rotated_local(const Vector3 &p_axis, real_t p_angle) const {
return (*this) * Basis(p_axis, p_angle);
}
-Basis Basis::rotated(const Vector3 &p_euler) const {
- return Basis(p_euler) * (*this);
+Basis Basis::rotated(const Vector3 &p_euler, EulerOrder p_order) const {
+ return Basis::from_euler(p_euler, p_order) * (*this);
}
-void Basis::rotate(const Vector3 &p_euler) {
- *this = rotated(p_euler);
+void Basis::rotate(const Vector3 &p_euler, EulerOrder p_order) {
+ *this = rotated(p_euler, p_order);
}
Basis Basis::rotated(const Quaternion &p_quaternion) const {
@@ -817,14 +817,13 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
#endif
*/
real_t angle, x, y, z; // variables for result
- real_t epsilon = 0.01; // margin to allow for rounding errors
- real_t epsilon2 = 0.1; // margin to distinguish between 0 and 180 degrees
+ real_t angle_epsilon = 0.1; // margin to distinguish between 0 and 180 degrees
- if ((Math::abs(rows[1][0] - rows[0][1]) < epsilon) && (Math::abs(rows[2][0] - rows[0][2]) < epsilon) && (Math::abs(rows[2][1] - rows[1][2]) < epsilon)) {
+ if ((Math::abs(rows[1][0] - rows[0][1]) < CMP_EPSILON) && (Math::abs(rows[2][0] - rows[0][2]) < CMP_EPSILON) && (Math::abs(rows[2][1] - rows[1][2]) < CMP_EPSILON)) {
// singularity found
// first check for identity matrix which must have +1 for all terms
// in leading diagonal and zero in other terms
- if ((Math::abs(rows[1][0] + rows[0][1]) < epsilon2) && (Math::abs(rows[2][0] + rows[0][2]) < epsilon2) && (Math::abs(rows[2][1] + rows[1][2]) < epsilon2) && (Math::abs(rows[0][0] + rows[1][1] + rows[2][2] - 3) < epsilon2)) {
+ if ((Math::abs(rows[1][0] + rows[0][1]) < angle_epsilon) && (Math::abs(rows[2][0] + rows[0][2]) < angle_epsilon) && (Math::abs(rows[2][1] + rows[1][2]) < angle_epsilon) && (Math::abs(rows[0][0] + rows[1][1] + rows[2][2] - 3) < angle_epsilon)) {
// this singularity is identity matrix so angle = 0
r_axis = Vector3(0, 1, 0);
r_angle = 0;
@@ -839,7 +838,7 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
real_t xz = (rows[2][0] + rows[0][2]) / 4;
real_t yz = (rows[2][1] + rows[1][2]) / 4;
if ((xx > yy) && (xx > zz)) { // rows[0][0] is the largest diagonal term
- if (xx < epsilon) {
+ if (xx < CMP_EPSILON) {
x = 0;
y = Math_SQRT12;
z = Math_SQRT12;
@@ -849,7 +848,7 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
z = xz / x;
}
} else if (yy > zz) { // rows[1][1] is the largest diagonal term
- if (yy < epsilon) {
+ if (yy < CMP_EPSILON) {
x = Math_SQRT12;
y = 0;
z = Math_SQRT12;
@@ -859,7 +858,7 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
z = yz / y;
}
} else { // rows[2][2] is the largest diagonal term so base result on this
- if (zz < epsilon) {
+ if (zz < CMP_EPSILON) {
x = Math_SQRT12;
y = Math_SQRT12;
z = 0;
@@ -935,9 +934,9 @@ void Basis::set_axis_angle_scale(const Vector3 &p_axis, real_t p_angle, const Ve
rotate(p_axis, p_angle);
}
-void Basis::set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale) {
+void Basis::set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale, EulerOrder p_order) {
_set_diagonal(p_scale);
- rotate(p_euler);
+ rotate(p_euler, p_order);
}
void Basis::set_quaternion_scale(const Quaternion &p_quaternion, const Vector3 &p_scale) {
diff --git a/core/math/basis.h b/core/math/basis.h
index 9cce22510b..4be325cdd2 100644
--- a/core/math/basis.h
+++ b/core/math/basis.h
@@ -56,6 +56,15 @@ struct _NO_DISCARD_ Basis {
_FORCE_INLINE_ real_t determinant() const;
+ enum EulerOrder {
+ EULER_ORDER_XYZ,
+ EULER_ORDER_XZY,
+ EULER_ORDER_YXZ,
+ EULER_ORDER_YZX,
+ EULER_ORDER_ZXY,
+ EULER_ORDER_ZYX
+ };
+
void from_z(const Vector3 &p_z);
void rotate(const Vector3 &p_axis, real_t p_angle);
@@ -64,21 +73,12 @@ struct _NO_DISCARD_ Basis {
void rotate_local(const Vector3 &p_axis, real_t p_angle);
Basis rotated_local(const Vector3 &p_axis, real_t p_angle) const;
- void rotate(const Vector3 &p_euler);
- Basis rotated(const Vector3 &p_euler) const;
+ void rotate(const Vector3 &p_euler, EulerOrder p_order = EULER_ORDER_YXZ);
+ Basis rotated(const Vector3 &p_euler, EulerOrder p_order = EULER_ORDER_YXZ) const;
void rotate(const Quaternion &p_quaternion);
Basis rotated(const Quaternion &p_quaternion) const;
- enum EulerOrder {
- EULER_ORDER_XYZ,
- EULER_ORDER_XZY,
- EULER_ORDER_YXZ,
- EULER_ORDER_YZX,
- EULER_ORDER_ZXY,
- EULER_ORDER_ZYX
- };
-
Vector3 get_euler_normalized(EulerOrder p_order = EULER_ORDER_YXZ) const;
void get_rotation_axis_angle(Vector3 &p_axis, real_t &p_angle) const;
void get_rotation_axis_angle_local(Vector3 &p_axis, real_t &p_angle) const;
@@ -119,7 +119,7 @@ struct _NO_DISCARD_ Basis {
Vector3 get_scale_local() const;
void set_axis_angle_scale(const Vector3 &p_axis, real_t p_angle, const Vector3 &p_scale);
- void set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale);
+ void set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale, EulerOrder p_order = EULER_ORDER_YXZ);
void set_quaternion_scale(const Quaternion &p_quaternion, const Vector3 &p_scale);
// transposed dot products
diff --git a/core/math/bvh.h b/core/math/bvh.h
index 9f6ab9f736..b5f5eda3e6 100644
--- a/core/math/bvh.h
+++ b/core/math/bvh.h
@@ -302,7 +302,7 @@ public:
tree.update();
_check_for_collisions();
#ifdef BVH_INTEGRITY_CHECKS
- tree.integrity_check_all();
+ tree._integrity_check_all();
#endif
}
diff --git a/core/math/bvh_public.inc b/core/math/bvh_public.inc
index 36b0bfeb13..fc1c67a21b 100644
--- a/core/math/bvh_public.inc
+++ b/core/math/bvh_public.inc
@@ -2,7 +2,7 @@ public:
BVHHandle item_add(T *p_userdata, bool p_active, const BOUNDS &p_aabb, int32_t p_subindex, uint32_t p_tree_id, uint32_t p_tree_collision_mask, bool p_invisible = false) {
#ifdef BVH_VERBOSE_TREE
VERBOSE_PRINT("\nitem_add BEFORE");
- _debug_recursive_print_tree(0);
+ _debug_recursive_print_tree(p_tree_id);
VERBOSE_PRINT("\n");
#endif
@@ -78,8 +78,8 @@ BVHHandle item_add(T *p_userdata, bool p_active, const BOUNDS &p_aabb, int32_t p
mem += _nodes.estimate_memory_use();
String sz = _debug_aabb_to_string(abb);
- VERBOSE_PRINT("\titem_add [" + itos(ref_id) + "] " + itos(_refs.size()) + " refs,\t" + itos(_nodes.size()) + " nodes " + sz);
- VERBOSE_PRINT("mem use : " + itos(mem) + ", num nodes : " + itos(_nodes.size()));
+ VERBOSE_PRINT("\titem_add [" + itos(ref_id) + "] " + itos(_refs.used_size()) + " refs,\t" + itos(_nodes.used_size()) + " nodes " + sz);
+ VERBOSE_PRINT("mem use : " + itos(mem) + ", num nodes reserved : " + itos(_nodes.reserved_size()));
#endif
diff --git a/core/math/color.h b/core/math/color.h
index 0afa6006a8..65036f74cc 100644
--- a/core/math/color.h
+++ b/core/math/color.h
@@ -215,12 +215,12 @@ struct _NO_DISCARD_ Color {
_FORCE_INLINE_ void set_a8(int32_t a8) { a = (CLAMP(a8, 0, 255) / 255.0f); }
_FORCE_INLINE_ int32_t get_a8() const { return int32_t(CLAMP(Math::round(a * 255.0f), 0.0f, 255.0f)); }
- _FORCE_INLINE_ void set_h(float p_h) { set_hsv(p_h, get_s(), get_v()); }
- _FORCE_INLINE_ void set_s(float p_s) { set_hsv(get_h(), p_s, get_v()); }
- _FORCE_INLINE_ void set_v(float p_v) { set_hsv(get_h(), get_s(), p_v); }
- _FORCE_INLINE_ void set_ok_hsl_h(float p_h) { set_ok_hsl(p_h, get_ok_hsl_s(), get_ok_hsl_l()); }
- _FORCE_INLINE_ void set_ok_hsl_s(float p_s) { set_ok_hsl(get_ok_hsl_h(), p_s, get_ok_hsl_l()); }
- _FORCE_INLINE_ void set_ok_hsl_l(float p_l) { set_ok_hsl(get_ok_hsl_h(), get_ok_hsl_s(), p_l); }
+ _FORCE_INLINE_ void set_h(float p_h) { set_hsv(p_h, get_s(), get_v(), a); }
+ _FORCE_INLINE_ void set_s(float p_s) { set_hsv(get_h(), p_s, get_v(), a); }
+ _FORCE_INLINE_ void set_v(float p_v) { set_hsv(get_h(), get_s(), p_v, a); }
+ _FORCE_INLINE_ void set_ok_hsl_h(float p_h) { set_ok_hsl(p_h, get_ok_hsl_s(), get_ok_hsl_l(), a); }
+ _FORCE_INLINE_ void set_ok_hsl_s(float p_s) { set_ok_hsl(get_ok_hsl_h(), p_s, get_ok_hsl_l(), a); }
+ _FORCE_INLINE_ void set_ok_hsl_l(float p_l) { set_ok_hsl(get_ok_hsl_h(), get_ok_hsl_s(), p_l, a); }
_FORCE_INLINE_ Color() {}
diff --git a/core/math/delaunay_3d.h b/core/math/delaunay_3d.h
index f8a10ec87e..898c3c2d91 100644
--- a/core/math/delaunay_3d.h
+++ b/core/math/delaunay_3d.h
@@ -33,7 +33,7 @@
#include "core/io/file_access.h"
#include "core/math/aabb.h"
-#include "core/math/camera_matrix.h"
+#include "core/math/projection.h"
#include "core/math/vector3.h"
#include "core/string/print_string.h"
#include "core/templates/local_vector.h"
@@ -101,7 +101,7 @@ class Delaunay3D {
_FORCE_INLINE_ static uint32_t hash(const Triangle &p_triangle) {
uint32_t h = hash_djb2_one_32(p_triangle.triangle[0]);
h = hash_djb2_one_32(p_triangle.triangle[1], h);
- return hash_djb2_one_32(p_triangle.triangle[2], h);
+ return hash_fmix32(hash_djb2_one_32(p_triangle.triangle[2], h));
}
};
@@ -184,7 +184,7 @@ class Delaunay3D {
return true;
}
- CameraMatrix cm;
+ Projection cm;
cm.matrix[0][0] = p_points[p_simplex.points[0]].x;
cm.matrix[0][1] = p_points[p_simplex.points[1]].x;
diff --git a/core/math/expression.cpp b/core/math/expression.cpp
index 5a90f68b66..e230b69dc9 100644
--- a/core/math/expression.cpp
+++ b/core/math/expression.cpp
@@ -891,7 +891,7 @@ Expression::ENode *Expression::_parse_expression() {
case TK_PERIOD: {
//named indexing or function call
_get_token(tk);
- if (tk.type != TK_IDENTIFIER) {
+ if (tk.type != TK_IDENTIFIER && tk.type != TK_BUILTIN_FUNC) {
_set_error("Expected identifier after '.'");
return nullptr;
}
@@ -1240,7 +1240,7 @@ bool Expression::_compile_expression() {
return false;
}
-bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, String &r_error_str) {
+bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, bool p_const_calls_only, String &r_error_str) {
switch (p_node->type) {
case Expression::ENode::TYPE_INPUT: {
const Expression::InputNode *in = static_cast<const Expression::InputNode *>(p_node);
@@ -1266,7 +1266,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
const Expression::OperatorNode *op = static_cast<const Expression::OperatorNode *>(p_node);
Variant a;
- bool ret = _execute(p_inputs, p_instance, op->nodes[0], a, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, op->nodes[0], a, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1274,7 +1274,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
Variant b;
if (op->nodes[1]) {
- ret = _execute(p_inputs, p_instance, op->nodes[1], b, r_error_str);
+ ret = _execute(p_inputs, p_instance, op->nodes[1], b, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1292,14 +1292,14 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
const Expression::IndexNode *index = static_cast<const Expression::IndexNode *>(p_node);
Variant base;
- bool ret = _execute(p_inputs, p_instance, index->base, base, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, index->base, base, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
Variant idx;
- ret = _execute(p_inputs, p_instance, index->index, idx, r_error_str);
+ ret = _execute(p_inputs, p_instance, index->index, idx, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1316,7 +1316,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
const Expression::NamedIndexNode *index = static_cast<const Expression::NamedIndexNode *>(p_node);
Variant base;
- bool ret = _execute(p_inputs, p_instance, index->base, base, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, index->base, base, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1336,7 +1336,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
arr.resize(array->array.size());
for (int i = 0; i < array->array.size(); i++) {
Variant value;
- bool ret = _execute(p_inputs, p_instance, array->array[i], value, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, array->array[i], value, p_const_calls_only, r_error_str);
if (ret) {
return true;
@@ -1353,14 +1353,14 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
Dictionary d;
for (int i = 0; i < dictionary->dict.size(); i += 2) {
Variant key;
- bool ret = _execute(p_inputs, p_instance, dictionary->dict[i + 0], key, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, dictionary->dict[i + 0], key, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
Variant value;
- ret = _execute(p_inputs, p_instance, dictionary->dict[i + 1], value, r_error_str);
+ ret = _execute(p_inputs, p_instance, dictionary->dict[i + 1], value, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1380,7 +1380,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
for (int i = 0; i < constructor->arguments.size(); i++) {
Variant value;
- bool ret = _execute(p_inputs, p_instance, constructor->arguments[i], value, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, constructor->arguments[i], value, p_const_calls_only, r_error_str);
if (ret) {
return true;
@@ -1408,7 +1408,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
for (int i = 0; i < bifunc->arguments.size(); i++) {
Variant value;
- bool ret = _execute(p_inputs, p_instance, bifunc->arguments[i], value, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, bifunc->arguments[i], value, p_const_calls_only, r_error_str);
if (ret) {
return true;
}
@@ -1429,7 +1429,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
const Expression::CallNode *call = static_cast<const Expression::CallNode *>(p_node);
Variant base;
- bool ret = _execute(p_inputs, p_instance, call->base, base, r_error_str);
+ bool ret = _execute(p_inputs, p_instance, call->base, base, p_const_calls_only, r_error_str);
if (ret) {
return true;
@@ -1442,7 +1442,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
for (int i = 0; i < call->arguments.size(); i++) {
Variant value;
- ret = _execute(p_inputs, p_instance, call->arguments[i], value, r_error_str);
+ ret = _execute(p_inputs, p_instance, call->arguments[i], value, p_const_calls_only, r_error_str);
if (ret) {
return true;
@@ -1452,7 +1452,11 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression:
}
Callable::CallError ce;
- base.callp(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce);
+ if (p_const_calls_only) {
+ base.call_const(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce);
+ } else {
+ base.callp(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce);
+ }
if (ce.error != Callable::CallError::CALL_OK) {
r_error_str = vformat(RTR("On call to '%s':"), String(call->method));
@@ -1491,13 +1495,13 @@ Error Expression::parse(const String &p_expression, const Vector<String> &p_inpu
return OK;
}
-Variant Expression::execute(Array p_inputs, Object *p_base, bool p_show_error) {
+Variant Expression::execute(Array p_inputs, Object *p_base, bool p_show_error, bool p_const_calls_only) {
ERR_FAIL_COND_V_MSG(error_set, Variant(), "There was previously a parse error: " + error_str + ".");
execution_error = false;
Variant output;
String error_txt;
- bool err = _execute(p_inputs, p_base, root, output, error_txt);
+ bool err = _execute(p_inputs, p_base, root, output, p_const_calls_only, error_txt);
if (err) {
execution_error = true;
error_str = error_txt;
@@ -1517,7 +1521,7 @@ String Expression::get_error_text() const {
void Expression::_bind_methods() {
ClassDB::bind_method(D_METHOD("parse", "expression", "input_names"), &Expression::parse, DEFVAL(Vector<String>()));
- ClassDB::bind_method(D_METHOD("execute", "inputs", "base_instance", "show_error"), &Expression::execute, DEFVAL(Array()), DEFVAL(Variant()), DEFVAL(true));
+ ClassDB::bind_method(D_METHOD("execute", "inputs", "base_instance", "show_error", "const_calls_only"), &Expression::execute, DEFVAL(Array()), DEFVAL(Variant()), DEFVAL(true), DEFVAL(false));
ClassDB::bind_method(D_METHOD("has_execute_failed"), &Expression::has_execute_failed);
ClassDB::bind_method(D_METHOD("get_error_text"), &Expression::get_error_text);
}
diff --git a/core/math/expression.h b/core/math/expression.h
index 6ea3c1611f..2d58915996 100644
--- a/core/math/expression.h
+++ b/core/math/expression.h
@@ -257,14 +257,14 @@ private:
Vector<String> input_names;
bool execution_error = false;
- bool _execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, String &r_error_str);
+ bool _execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, bool p_const_calls_only, String &r_error_str);
protected:
static void _bind_methods();
public:
Error parse(const String &p_expression, const Vector<String> &p_input_names = Vector<String>());
- Variant execute(Array p_inputs = Array(), Object *p_base = nullptr, bool p_show_error = true);
+ Variant execute(Array p_inputs = Array(), Object *p_base = nullptr, bool p_show_error = true, bool p_const_calls_only = false);
bool has_execute_failed() const;
String get_error_text() const;
diff --git a/core/math/math_fieldwise.cpp b/core/math/math_fieldwise.cpp
index 4be4809e3f..208f89f449 100644
--- a/core/math/math_fieldwise.cpp
+++ b/core/math/math_fieldwise.cpp
@@ -76,6 +76,36 @@ Variant fieldwise_assign(const Variant &p_target, const Variant &p_source, const
return target;
}
+ case Variant::VECTOR3I: {
+ SETUP_TYPE(Vector3i)
+
+ /**/ TRY_TRANSFER_FIELD("x", x)
+ else TRY_TRANSFER_FIELD("y", y)
+ else TRY_TRANSFER_FIELD("z", z)
+
+ return target;
+ }
+ case Variant::VECTOR4: {
+ SETUP_TYPE(Vector4)
+
+ /**/ TRY_TRANSFER_FIELD("x", x)
+ else TRY_TRANSFER_FIELD("y", y)
+ else TRY_TRANSFER_FIELD("z", z)
+ else TRY_TRANSFER_FIELD("w", w)
+
+ return target;
+ }
+ case Variant::VECTOR4I: {
+ SETUP_TYPE(Vector4i)
+
+ /**/ TRY_TRANSFER_FIELD("x", x)
+ else TRY_TRANSFER_FIELD("y", y)
+ else TRY_TRANSFER_FIELD("z", z)
+ else TRY_TRANSFER_FIELD("w", w)
+
+ return target;
+ }
+
case Variant::PLANE: {
SETUP_TYPE(Plane)
diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h
index 068bc0397e..53deb9bd42 100644
--- a/core/math/math_funcs.h
+++ b/core/math/math_funcs.h
@@ -253,6 +253,27 @@ public:
(-p_pre + 3.0f * p_from - 3.0f * p_to + p_post) * (p_weight * p_weight * p_weight));
}
+ static _ALWAYS_INLINE_ double bezier_interpolate(double p_start, double p_control_1, double p_control_2, double p_end, double p_t) {
+ /* Formula from Wikipedia article on Bezier curves. */
+ double omt = (1.0 - p_t);
+ double omt2 = omt * omt;
+ double omt3 = omt2 * omt;
+ double t2 = p_t * p_t;
+ double t3 = t2 * p_t;
+
+ return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3;
+ }
+ static _ALWAYS_INLINE_ float bezier_interpolate(float p_start, float p_control_1, float p_control_2, float p_end, float p_t) {
+ /* Formula from Wikipedia article on Bezier curves. */
+ float omt = (1.0f - p_t);
+ float omt2 = omt * omt;
+ float omt3 = omt2 * omt;
+ float t2 = p_t * p_t;
+ float t3 = t2 * p_t;
+
+ return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0f + p_control_2 * omt * t2 * 3.0f + p_end * t3;
+ }
+
static _ALWAYS_INLINE_ double lerp_angle(double p_from, double p_to, double p_weight) {
double difference = fmod(p_to - p_from, Math_TAU);
double distance = fmod(2.0 * difference, Math_TAU) - difference;
@@ -302,11 +323,19 @@ public:
}
static _ALWAYS_INLINE_ double wrapf(double value, double min, double max) {
double range = max - min;
- return is_zero_approx(range) ? min : value - (range * Math::floor((value - min) / range));
+ double result = is_zero_approx(range) ? min : value - (range * Math::floor((value - min) / range));
+ if (is_equal_approx(result, max)) {
+ return min;
+ }
+ return result;
}
static _ALWAYS_INLINE_ float wrapf(float value, float min, float max) {
float range = max - min;
- return is_zero_approx(range) ? min : value - (range * Math::floor((value - min) / range));
+ float result = is_zero_approx(range) ? min : value - (range * Math::floor((value - min) / range));
+ if (is_equal_approx(result, max)) {
+ return min;
+ }
+ return result;
}
static _ALWAYS_INLINE_ float fract(float value) {
diff --git a/core/math/octree.h b/core/math/octree.h
deleted file mode 100644
index 8dd103f109..0000000000
--- a/core/math/octree.h
+++ /dev/null
@@ -1,1271 +0,0 @@
-/*************************************************************************/
-/* octree.h */
-/*************************************************************************/
-/* This file is part of: */
-/* GODOT ENGINE */
-/* https://godotengine.org */
-/*************************************************************************/
-/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
-/* Copyright (c) 2014-2022 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 OCTREE_H
-#define OCTREE_H
-
-#include "core/math/aabb.h"
-#include "core/math/geometry_3d.h"
-#include "core/math/vector3.h"
-#include "core/string/print_string.h"
-#include "core/templates/list.h"
-#include "core/templates/rb_map.h"
-#include "core/variant/variant.h"
-
-typedef uint32_t OctreeElementID;
-
-#define OCTREE_ELEMENT_INVALID_ID 0
-#define OCTREE_SIZE_LIMIT 1e15
-
-template <class T, bool use_pairs = false, class AL = DefaultAllocator>
-class Octree {
-public:
- typedef void *(*PairCallback)(void *, OctreeElementID, T *, int, OctreeElementID, T *, int);
- typedef void (*UnpairCallback)(void *, OctreeElementID, T *, int, OctreeElementID, T *, int, void *);
-
-private:
- enum {
- NEG = 0,
- POS = 1,
- };
-
- enum {
- OCTANT_NX_NY_NZ,
- OCTANT_PX_NY_NZ,
- OCTANT_NX_PY_NZ,
- OCTANT_PX_PY_NZ,
- OCTANT_NX_NY_PZ,
- OCTANT_PX_NY_PZ,
- OCTANT_NX_PY_PZ,
- OCTANT_PX_PY_PZ
- };
-
- struct PairKey {
- union {
- struct {
- OctreeElementID A;
- OctreeElementID B;
- };
- uint64_t key;
- };
-
- _FORCE_INLINE_ bool operator<(const PairKey &p_pair) const {
- return key < p_pair.key;
- }
-
- _FORCE_INLINE_ PairKey(OctreeElementID p_A, OctreeElementID p_B) {
- if (p_A < p_B) {
- A = p_A;
- B = p_B;
- } else {
- B = p_A;
- A = p_B;
- }
- }
-
- _FORCE_INLINE_ PairKey() {}
- };
-
- struct Element;
-
- struct Octant {
- // cached for FAST plane check
- AABB aabb;
-
- uint64_t last_pass = 0;
- Octant *parent = nullptr;
- Octant *children[8] = { nullptr };
-
- int children_count = 0; // cache for amount of children (fast check for removal)
- int parent_index = -1; // cache for parent index (fast check for removal)
-
- List<Element *, AL> pairable_elements;
- List<Element *, AL> elements;
-
- Octant() {}
- ~Octant() {}
- };
-
- struct PairData;
-
- struct Element {
- Octree *octree = nullptr;
-
- T *userdata = nullptr;
- int subindex = 0;
- bool pairable = false;
- uint32_t pairable_mask = 0;
- uint32_t pairable_type = 0;
-
- uint64_t last_pass = 0;
- OctreeElementID _id = 0;
- Octant *common_parent = nullptr;
-
- AABB aabb;
- AABB container_aabb;
-
- List<PairData *, AL> pair_list;
-
- struct OctantOwner {
- Octant *octant = nullptr;
- typename List<Element *, AL>::Element *E;
- }; // an element can be in max 8 octants
-
- List<OctantOwner, AL> octant_owners;
-
- Element() {}
- };
-
- struct PairData {
- int refcount;
- bool intersect;
- Element *A, *B;
- void *ud = nullptr;
- typename List<PairData *, AL>::Element *eA, *eB;
- };
-
- typedef HashMap<OctreeElementID, Element, Comparator<OctreeElementID>, AL> ElementMap;
- typedef HashMap<PairKey, PairData, Comparator<PairKey>, AL> PairMap;
- ElementMap element_map;
- PairMap pair_map;
-
- PairCallback pair_callback = nullptr;
- UnpairCallback unpair_callback = nullptr;
- void *pair_callback_userdata = nullptr;
- void *unpair_callback_userdata = nullptr;
-
- OctreeElementID last_element_id = 1;
- uint64_t pass = 1;
-
- real_t unit_size = 1.0;
- Octant *root = nullptr;
- int octant_count = 0;
- int pair_count = 0;
-
- _FORCE_INLINE_ void _pair_check(PairData *p_pair) {
- bool intersect = p_pair->A->aabb.intersects_inclusive(p_pair->B->aabb);
-
- if (intersect != p_pair->intersect) {
- if (intersect) {
- if (pair_callback) {
- p_pair->ud = pair_callback(pair_callback_userdata, p_pair->A->_id, p_pair->A->userdata, p_pair->A->subindex, p_pair->B->_id, p_pair->B->userdata, p_pair->B->subindex);
- }
- pair_count++;
- } else {
- if (unpair_callback) {
- unpair_callback(pair_callback_userdata, p_pair->A->_id, p_pair->A->userdata, p_pair->A->subindex, p_pair->B->_id, p_pair->B->userdata, p_pair->B->subindex, p_pair->ud);
- }
- pair_count--;
- }
-
- p_pair->intersect = intersect;
- }
- }
-
- _FORCE_INLINE_ void _pair_reference(Element *p_A, Element *p_B) {
- if (p_A == p_B || (p_A->userdata == p_B->userdata && p_A->userdata)) {
- return;
- }
-
- if (!(p_A->pairable_type & p_B->pairable_mask) &&
- !(p_B->pairable_type & p_A->pairable_mask)) {
- return; // none can pair with none
- }
-
- PairKey key(p_A->_id, p_B->_id);
- typename PairMap::Element *E = pair_map.find(key);
-
- if (!E) {
- PairData pdata;
- pdata.refcount = 1;
- pdata.A = p_A;
- pdata.B = p_B;
- pdata.intersect = false;
- E = pair_map.insert(key, pdata);
- E->get().eA = p_A->pair_list.push_back(&E->get());
- E->get().eB = p_B->pair_list.push_back(&E->get());
- } else {
- E->get().refcount++;
- }
- }
-
- _FORCE_INLINE_ void _pair_unreference(Element *p_A, Element *p_B) {
- if (p_A == p_B) {
- return;
- }
-
- PairKey key(p_A->_id, p_B->_id);
- typename PairMap::Element *E = pair_map.find(key);
- if (!E) {
- return; // no pair
- }
-
- E->get().refcount--;
-
- if (E->get().refcount == 0) {
- // bye pair
-
- if (E->get().intersect) {
- if (unpair_callback) {
- unpair_callback(pair_callback_userdata, p_A->_id, p_A->userdata, p_A->subindex, p_B->_id, p_B->userdata, p_B->subindex, E->get().ud);
- }
-
- pair_count--;
- }
-
- if (p_A == E->get().B) {
- //may be reaching inverted
- SWAP(p_A, p_B);
- }
-
- p_A->pair_list.erase(E->get().eA);
- p_B->pair_list.erase(E->get().eB);
- pair_map.erase(E);
- }
- }
-
- _FORCE_INLINE_ void _element_check_pairs(Element *p_element) {
- typename List<PairData *, AL>::Element *E = p_element->pair_list.front();
- while (E) {
- _pair_check(E->get());
- E = E->next();
- }
- }
-
- _FORCE_INLINE_ void _optimize() {
- while (root && root->children_count < 2 && !root->elements.size() && !(use_pairs && root->pairable_elements.size())) {
- Octant *new_root = nullptr;
- if (root->children_count == 1) {
- for (int i = 0; i < 8; i++) {
- if (root->children[i]) {
- new_root = root->children[i];
- root->children[i] = nullptr;
- break;
- }
- }
- ERR_FAIL_COND(!new_root);
- new_root->parent = nullptr;
- new_root->parent_index = -1;
- }
-
- memdelete_allocator<Octant, AL>(root);
- octant_count--;
- root = new_root;
- }
- }
-
- void _insert_element(Element *p_element, Octant *p_octant);
- void _ensure_valid_root(const AABB &p_aabb);
- bool _remove_element_from_octant(Element *p_element, Octant *p_octant, Octant *p_limit = nullptr);
- void _remove_element(Element *p_element);
- void _pair_element(Element *p_element, Octant *p_octant);
- void _unpair_element(Element *p_element, Octant *p_octant);
-
- struct _CullConvexData {
- const Plane *planes;
- int plane_count;
- const Vector3 *points;
- int point_count;
- T **result_array;
- int *result_idx = nullptr;
- int result_max;
- uint32_t mask;
- };
-
- void _cull_convex(Octant *p_octant, _CullConvexData *p_cull);
- void _cull_aabb(Octant *p_octant, const AABB &p_aabb, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask);
- void _cull_segment(Octant *p_octant, const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask);
- void _cull_point(Octant *p_octant, const Vector3 &p_point, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask);
-
- void _remove_tree(Octant *p_octant) {
- if (!p_octant) {
- return;
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i]) {
- _remove_tree(p_octant->children[i]);
- }
- }
-
- memdelete_allocator<Octant, AL>(p_octant);
- }
-
-public:
- OctreeElementID create(T *p_userdata, const AABB &p_aabb = AABB(), int p_subindex = 0, bool p_pairable = false, uint32_t p_pairable_type = 0, uint32_t pairable_mask = 1);
- void move(OctreeElementID p_id, const AABB &p_aabb);
- void set_pairable(OctreeElementID p_id, bool p_pairable = false, uint32_t p_pairable_type = 0, uint32_t pairable_mask = 1);
- void erase(OctreeElementID p_id);
-
- bool is_pairable(OctreeElementID p_id) const;
- T *get(OctreeElementID p_id) const;
- int get_subindex(OctreeElementID p_id) const;
-
- int cull_convex(const Vector<Plane> &p_convex, T **p_result_array, int p_result_max, uint32_t p_mask = 0xFFFFFFFF);
- int cull_aabb(const AABB &p_aabb, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF);
- int cull_segment(const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF);
-
- int cull_point(const Vector3 &p_point, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF);
-
- void set_pair_callback(PairCallback p_callback, void *p_userdata);
- void set_unpair_callback(UnpairCallback p_callback, void *p_userdata);
-
- int get_octant_count() const { return octant_count; }
- int get_pair_count() const { return pair_count; }
- Octree(real_t p_unit_size = 1.0);
- ~Octree() { _remove_tree(root); }
-};
-
-/* PRIVATE FUNCTIONS */
-
-template <class T, bool use_pairs, class AL>
-T *Octree<T, use_pairs, AL>::get(OctreeElementID p_id) const {
- const typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND_V(!E, nullptr);
- return E->get().userdata;
-}
-
-template <class T, bool use_pairs, class AL>
-bool Octree<T, use_pairs, AL>::is_pairable(OctreeElementID p_id) const {
- const typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND_V(!E, false);
- return E->get().pairable;
-}
-
-template <class T, bool use_pairs, class AL>
-int Octree<T, use_pairs, AL>::get_subindex(OctreeElementID p_id) const {
- const typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND_V(!E, -1);
- return E->get().subindex;
-}
-
-#define OCTREE_DIVISOR 4
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_insert_element(Element *p_element, Octant *p_octant) {
- real_t element_size = p_element->aabb.get_longest_axis_size() * 1.01; // avoid precision issues
-
- if (p_octant->aabb.size.x / OCTREE_DIVISOR < element_size) {
- //if (p_octant->aabb.size.x*0.5 < element_size) {
- /* at smallest possible size for the element */
- typename Element::OctantOwner owner;
- owner.octant = p_octant;
-
- if (use_pairs && p_element->pairable) {
- p_octant->pairable_elements.push_back(p_element);
- owner.E = p_octant->pairable_elements.back();
- } else {
- p_octant->elements.push_back(p_element);
- owner.E = p_octant->elements.back();
- }
-
- p_element->octant_owners.push_back(owner);
-
- if (p_element->common_parent == nullptr) {
- p_element->common_parent = p_octant;
- p_element->container_aabb = p_octant->aabb;
- } else {
- p_element->container_aabb.merge_with(p_octant->aabb);
- }
-
- if (use_pairs && p_octant->children_count > 0) {
- pass++; //elements below this only get ONE reference added
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i]) {
- _pair_element(p_element, p_octant->children[i]);
- }
- }
- }
- } else {
- /* not big enough, send it to subitems */
- int splits = 0;
- bool candidate = p_element->common_parent == nullptr;
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i]) {
- /* element exists, go straight to it */
- if (p_octant->children[i]->aabb.intersects_inclusive(p_element->aabb)) {
- _insert_element(p_element, p_octant->children[i]);
- splits++;
- }
- } else {
- /* check against AABB where child should be */
-
- AABB aabb = p_octant->aabb;
- aabb.size *= 0.5;
-
- if (i & 1) {
- aabb.position.x += aabb.size.x;
- }
- if (i & 2) {
- aabb.position.y += aabb.size.y;
- }
- if (i & 4) {
- aabb.position.z += aabb.size.z;
- }
-
- if (aabb.intersects_inclusive(p_element->aabb)) {
- /* if actually intersects, create the child */
-
- Octant *child = memnew_allocator(Octant, AL);
- p_octant->children[i] = child;
- child->parent = p_octant;
- child->parent_index = i;
-
- child->aabb = aabb;
-
- p_octant->children_count++;
-
- _insert_element(p_element, child);
- octant_count++;
- splits++;
- }
- }
- }
-
- if (candidate && splits > 1) {
- p_element->common_parent = p_octant;
- }
- }
-
- if (use_pairs) {
- typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front();
-
- while (E) {
- _pair_reference(p_element, E->get());
- E = E->next();
- }
-
- if (p_element->pairable) {
- // and always test non-pairable if element is pairable
- E = p_octant->elements.front();
- while (E) {
- _pair_reference(p_element, E->get());
- E = E->next();
- }
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_ensure_valid_root(const AABB &p_aabb) {
- if (!root) {
- // octre is empty
-
- AABB base(Vector3(), Vector3(1.0, 1.0, 1.0) * unit_size);
-
- while (!base.encloses(p_aabb)) {
- if (ABS(base.position.x + base.size.x) <= ABS(base.position.x)) {
- /* grow towards positive */
- base.size *= 2.0;
- } else {
- base.position -= base.size;
- base.size *= 2.0;
- }
- }
-
- root = memnew_allocator(Octant, AL);
-
- root->parent = nullptr;
- root->parent_index = -1;
- root->aabb = base;
-
- octant_count++;
-
- } else {
- AABB base = root->aabb;
-
- while (!base.encloses(p_aabb)) {
- ERR_FAIL_COND_MSG(base.size.x > OCTREE_SIZE_LIMIT, "Octree upper size limit reached, does the AABB supplied contain NAN?");
-
- Octant *gp = memnew_allocator(Octant, AL);
- octant_count++;
- root->parent = gp;
-
- if (ABS(base.position.x + base.size.x) <= ABS(base.position.x)) {
- /* grow towards positive */
- base.size *= 2.0;
- gp->aabb = base;
- gp->children[0] = root;
- root->parent_index = 0;
- } else {
- base.position -= base.size;
- base.size *= 2.0;
- gp->aabb = base;
- gp->children[(1 << 0) | (1 << 1) | (1 << 2)] = root; // add at all-positive
- root->parent_index = (1 << 0) | (1 << 1) | (1 << 2);
- }
-
- gp->children_count = 1;
- root = gp;
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-bool Octree<T, use_pairs, AL>::_remove_element_from_octant(Element *p_element, Octant *p_octant, Octant *p_limit) {
- bool octant_removed = false;
-
- while (true) {
- // check all exit conditions
-
- if (p_octant == p_limit) { // reached limit, nothing to erase, exit
- return octant_removed;
- }
-
- bool unpaired = false;
-
- if (use_pairs && p_octant->last_pass != pass) {
- // check whether we should unpair stuff
- // always test pairable
- typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front();
- while (E) {
- _pair_unreference(p_element, E->get());
- E = E->next();
- }
- if (p_element->pairable) {
- // and always test non-pairable if element is pairable
- E = p_octant->elements.front();
- while (E) {
- _pair_unreference(p_element, E->get());
- E = E->next();
- }
- }
- p_octant->last_pass = pass;
- unpaired = true;
- }
-
- bool removed = false;
-
- Octant *parent = p_octant->parent;
-
- if (p_octant->children_count == 0 && p_octant->elements.is_empty() && p_octant->pairable_elements.is_empty()) {
- // erase octant
-
- if (p_octant == root) { // won't have a parent, just erase
-
- root = nullptr;
- } else {
- ERR_FAIL_INDEX_V(p_octant->parent_index, 8, octant_removed);
-
- parent->children[p_octant->parent_index] = nullptr;
- parent->children_count--;
- }
-
- memdelete_allocator<Octant, AL>(p_octant);
- octant_count--;
- removed = true;
- octant_removed = true;
- }
-
- if (!removed && !unpaired) {
- return octant_removed; // no reason to keep going up anymore! was already visited and was not removed
- }
-
- p_octant = parent;
- }
-
- return octant_removed;
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_unpair_element(Element *p_element, Octant *p_octant) {
- // always test pairable
- typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front();
- while (E) {
- if (E->get()->last_pass != pass) { // only remove ONE reference
- _pair_unreference(p_element, E->get());
- E->get()->last_pass = pass;
- }
- E = E->next();
- }
-
- if (p_element->pairable) {
- // and always test non-pairable if element is pairable
- E = p_octant->elements.front();
- while (E) {
- if (E->get()->last_pass != pass) { // only remove ONE reference
- _pair_unreference(p_element, E->get());
- E->get()->last_pass = pass;
- }
- E = E->next();
- }
- }
-
- p_octant->last_pass = pass;
-
- if (p_octant->children_count == 0) {
- return; // small optimization for leafs
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i]) {
- _unpair_element(p_element, p_octant->children[i]);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_pair_element(Element *p_element, Octant *p_octant) {
- // always test pairable
-
- typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front();
-
- while (E) {
- if (E->get()->last_pass != pass) { // only get ONE reference
- _pair_reference(p_element, E->get());
- E->get()->last_pass = pass;
- }
- E = E->next();
- }
-
- if (p_element->pairable) {
- // and always test non-pairable if element is pairable
- E = p_octant->elements.front();
- while (E) {
- if (E->get()->last_pass != pass) { // only get ONE reference
- _pair_reference(p_element, E->get());
- E->get()->last_pass = pass;
- }
- E = E->next();
- }
- }
- p_octant->last_pass = pass;
-
- if (p_octant->children_count == 0) {
- return; // small optimization for leafs
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i]) {
- _pair_element(p_element, p_octant->children[i]);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_remove_element(Element *p_element) {
- pass++; // will do a new pass for this
-
- typename List<typename Element::OctantOwner, AL>::Element *I = p_element->octant_owners.front();
-
- /* FIRST remove going up normally */
- for (; I; I = I->next()) {
- Octant *o = I->get().octant;
-
- if (!use_pairs) { // small speedup
- o->elements.erase(I->get().E);
- }
-
- _remove_element_from_octant(p_element, o);
- }
-
- /* THEN remove going down */
-
- I = p_element->octant_owners.front();
-
- if (use_pairs) {
- for (; I; I = I->next()) {
- Octant *o = I->get().octant;
-
- // erase children pairs, they are erased ONCE even if repeated
- pass++;
- for (int i = 0; i < 8; i++) {
- if (o->children[i]) {
- _unpair_element(p_element, o->children[i]);
- }
- }
-
- if (p_element->pairable) {
- o->pairable_elements.erase(I->get().E);
- } else {
- o->elements.erase(I->get().E);
- }
- }
- }
-
- p_element->octant_owners.clear();
-
- if (use_pairs) {
- int remaining = p_element->pair_list.size();
- //p_element->pair_list.clear();
- ERR_FAIL_COND(remaining);
- }
-}
-
-template <class T, bool use_pairs, class AL>
-OctreeElementID Octree<T, use_pairs, AL>::create(T *p_userdata, const AABB &p_aabb, int p_subindex, bool p_pairable, uint32_t p_pairable_type, uint32_t p_pairable_mask) {
-// check for AABB validity
-#ifdef DEBUG_ENABLED
- ERR_FAIL_COND_V(p_aabb.position.x > 1e15 || p_aabb.position.x < -1e15, 0);
- ERR_FAIL_COND_V(p_aabb.position.y > 1e15 || p_aabb.position.y < -1e15, 0);
- ERR_FAIL_COND_V(p_aabb.position.z > 1e15 || p_aabb.position.z < -1e15, 0);
- ERR_FAIL_COND_V(p_aabb.size.x > 1e15 || p_aabb.size.x < 0.0, 0);
- ERR_FAIL_COND_V(p_aabb.size.y > 1e15 || p_aabb.size.y < 0.0, 0);
- ERR_FAIL_COND_V(p_aabb.size.z > 1e15 || p_aabb.size.z < 0.0, 0);
- ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.x), 0);
- ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.y), 0);
- ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.z), 0);
-
-#endif
- typename ElementMap::Element *E = element_map.insert(last_element_id++,
- Element());
- Element &e = E->get();
-
- e.aabb = p_aabb;
- e.userdata = p_userdata;
- e.subindex = p_subindex;
- e.last_pass = 0;
- e.octree = this;
- e.pairable = p_pairable;
- e.pairable_type = p_pairable_type;
- e.pairable_mask = p_pairable_mask;
- e._id = last_element_id - 1;
-
- if (!e.aabb.has_no_surface()) {
- _ensure_valid_root(p_aabb);
- _insert_element(&e, root);
- if (use_pairs) {
- _element_check_pairs(&e);
- }
- }
-
- return last_element_id - 1;
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::move(OctreeElementID p_id, const AABB &p_aabb) {
-#ifdef DEBUG_ENABLED
- // check for AABB validity
- ERR_FAIL_COND(p_aabb.position.x > 1e15 || p_aabb.position.x < -1e15);
- ERR_FAIL_COND(p_aabb.position.y > 1e15 || p_aabb.position.y < -1e15);
- ERR_FAIL_COND(p_aabb.position.z > 1e15 || p_aabb.position.z < -1e15);
- ERR_FAIL_COND(p_aabb.size.x > 1e15 || p_aabb.size.x < 0.0);
- ERR_FAIL_COND(p_aabb.size.y > 1e15 || p_aabb.size.y < 0.0);
- ERR_FAIL_COND(p_aabb.size.z > 1e15 || p_aabb.size.z < 0.0);
- ERR_FAIL_COND(Math::is_nan(p_aabb.size.x));
- ERR_FAIL_COND(Math::is_nan(p_aabb.size.y));
- ERR_FAIL_COND(Math::is_nan(p_aabb.size.z));
-#endif
- typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND(!E);
- Element &e = E->get();
-
- bool old_has_surf = !e.aabb.has_no_surface();
- bool new_has_surf = !p_aabb.has_no_surface();
-
- if (old_has_surf != new_has_surf) {
- if (old_has_surf) {
- _remove_element(&e); // removing
- e.common_parent = nullptr;
- e.aabb = AABB();
- _optimize();
- } else {
- _ensure_valid_root(p_aabb); // inserting
- e.common_parent = nullptr;
- e.aabb = p_aabb;
- _insert_element(&e, root);
- if (use_pairs) {
- _element_check_pairs(&e);
- }
- }
-
- return;
- }
-
- if (!old_has_surf) { // doing nothing
- return;
- }
-
- // it still is enclosed in the same AABB it was assigned to
- if (e.container_aabb.encloses(p_aabb)) {
- e.aabb = p_aabb;
- if (use_pairs) {
- _element_check_pairs(&e); // must check pairs anyway
- }
-
- return;
- }
-
- AABB combined = e.aabb;
- combined.merge_with(p_aabb);
- _ensure_valid_root(combined);
-
- ERR_FAIL_COND(e.octant_owners.front() == nullptr);
-
- /* FIND COMMON PARENT */
-
- List<typename Element::OctantOwner, AL> owners = e.octant_owners; // save the octant owners
- Octant *common_parent = e.common_parent;
- ERR_FAIL_COND(!common_parent);
-
- //src is now the place towards where insertion is going to happen
- pass++;
-
- while (common_parent && !common_parent->aabb.encloses(p_aabb)) {
- common_parent = common_parent->parent;
- }
-
- ERR_FAIL_COND(!common_parent);
-
- //prepare for reinsert
- e.octant_owners.clear();
- e.common_parent = nullptr;
- e.aabb = p_aabb;
-
- _insert_element(&e, common_parent); // reinsert from this point
-
- pass++;
-
- for (typename List<typename Element::OctantOwner, AL>::Element *F = owners.front(); F;) {
- Octant *o = F->get().octant;
- typename List<typename Element::OctantOwner, AL>::Element *N = F->next();
-
- if (use_pairs && e.pairable) {
- o->pairable_elements.erase(F->get().E);
- } else {
- o->elements.erase(F->get().E);
- }
-
- if (_remove_element_from_octant(&e, o, common_parent->parent)) {
- owners.erase(F);
- }
-
- F = N;
- }
-
- if (use_pairs) {
- //unpair child elements in anything that survived
- for (typename List<typename Element::OctantOwner, AL>::Element *F = owners.front(); F; F = F->next()) {
- Octant *o = F->get().octant;
-
- // erase children pairs, unref ONCE
- pass++;
- for (int i = 0; i < 8; i++) {
- if (o->children[i]) {
- _unpair_element(&e, o->children[i]);
- }
- }
- }
-
- _element_check_pairs(&e);
- }
-
- _optimize();
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::set_pairable(OctreeElementID p_id, bool p_pairable, uint32_t p_pairable_type, uint32_t p_pairable_mask) {
- typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND(!E);
-
- Element &e = E->get();
-
- if (p_pairable == e.pairable && e.pairable_type == p_pairable_type && e.pairable_mask == p_pairable_mask) {
- return; // no changes, return
- }
-
- if (!e.aabb.has_no_surface()) {
- _remove_element(&e);
- }
-
- e.pairable = p_pairable;
- e.pairable_type = p_pairable_type;
- e.pairable_mask = p_pairable_mask;
- e.common_parent = nullptr;
-
- if (!e.aabb.has_no_surface()) {
- _ensure_valid_root(e.aabb);
- _insert_element(&e, root);
- if (use_pairs) {
- _element_check_pairs(&e);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::erase(OctreeElementID p_id) {
- typename ElementMap::Element *E = element_map.find(p_id);
- ERR_FAIL_COND(!E);
-
- Element &e = E->get();
-
- if (!e.aabb.has_no_surface()) {
- _remove_element(&e);
- }
-
- element_map.erase(p_id);
- _optimize();
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_cull_convex(Octant *p_octant, _CullConvexData *p_cull) {
- if (*p_cull->result_idx == p_cull->result_max) {
- return; //pointless
- }
-
- if (!p_octant->elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->elements.front();
-
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_cull->mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (e->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) {
- if (*p_cull->result_idx < p_cull->result_max) {
- p_cull->result_array[*p_cull->result_idx] = e->userdata;
- (*p_cull->result_idx)++;
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- if (use_pairs && !p_octant->pairable_elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->pairable_elements.front();
-
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_cull->mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (e->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) {
- if (*p_cull->result_idx < p_cull->result_max) {
- p_cull->result_array[*p_cull->result_idx] = e->userdata;
- (*p_cull->result_idx)++;
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) {
- _cull_convex(p_octant->children[i], p_cull);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_cull_aabb(Octant *p_octant, const AABB &p_aabb, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (*p_result_idx == p_result_max) {
- return; //pointless
- }
-
- if (!p_octant->elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (p_aabb.intersects_inclusive(e->aabb)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
-
- (*p_result_idx)++;
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- if (use_pairs && !p_octant->pairable_elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->pairable_elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (p_aabb.intersects_inclusive(e->aabb)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
- (*p_result_idx)++;
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_inclusive(p_aabb)) {
- _cull_aabb(p_octant->children[i], p_aabb, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_cull_segment(Octant *p_octant, const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (*p_result_idx == p_result_max) {
- return; //pointless
- }
-
- if (!p_octant->elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (e->aabb.intersects_segment(p_from, p_to)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
- (*p_result_idx)++;
-
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- if (use_pairs && !p_octant->pairable_elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->pairable_elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
-
- e->last_pass = pass;
-
- if (e->aabb.intersects_segment(p_from, p_to)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
-
- (*p_result_idx)++;
-
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- for (int i = 0; i < 8; i++) {
- if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_segment(p_from, p_to)) {
- _cull_segment(p_octant->children[i], p_from, p_to, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::_cull_point(Octant *p_octant, const Vector3 &p_point, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (*p_result_idx == p_result_max) {
- return; //pointless
- }
-
- if (!p_octant->elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
- e->last_pass = pass;
-
- if (e->aabb.has_point(p_point)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
- (*p_result_idx)++;
-
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- if (use_pairs && !p_octant->pairable_elements.is_empty()) {
- typename List<Element *, AL>::Element *I;
- I = p_octant->pairable_elements.front();
- for (; I; I = I->next()) {
- Element *e = I->get();
-
- if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) {
- continue;
- }
-
- e->last_pass = pass;
-
- if (e->aabb.has_point(p_point)) {
- if (*p_result_idx < p_result_max) {
- p_result_array[*p_result_idx] = e->userdata;
- if (p_subindex_array) {
- p_subindex_array[*p_result_idx] = e->subindex;
- }
-
- (*p_result_idx)++;
-
- } else {
- return; // pointless to continue
- }
- }
- }
- }
-
- for (int i = 0; i < 8; i++) {
- //could be optimized..
- if (p_octant->children[i] && p_octant->children[i]->aabb.has_point(p_point)) {
- _cull_point(p_octant->children[i], p_point, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask);
- }
- }
-}
-
-template <class T, bool use_pairs, class AL>
-int Octree<T, use_pairs, AL>::cull_convex(const Vector<Plane> &p_convex, T **p_result_array, int p_result_max, uint32_t p_mask) {
- if (!root || p_convex.size() == 0) {
- return 0;
- }
-
- Vector<Vector3> convex_points = Geometry3D::compute_convex_mesh_points(&p_convex[0], p_convex.size());
- if (convex_points.size() == 0) {
- return 0;
- }
-
- int result_count = 0;
- pass++;
- _CullConvexData cdata;
- cdata.planes = &p_convex[0];
- cdata.plane_count = p_convex.size();
- cdata.points = &convex_points[0];
- cdata.point_count = convex_points.size();
- cdata.result_array = p_result_array;
- cdata.result_max = p_result_max;
- cdata.result_idx = &result_count;
- cdata.mask = p_mask;
-
- _cull_convex(root, &cdata);
-
- return result_count;
-}
-
-template <class T, bool use_pairs, class AL>
-int Octree<T, use_pairs, AL>::cull_aabb(const AABB &p_aabb, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (!root) {
- return 0;
- }
-
- int result_count = 0;
- pass++;
- _cull_aabb(root, p_aabb, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask);
-
- return result_count;
-}
-
-template <class T, bool use_pairs, class AL>
-int Octree<T, use_pairs, AL>::cull_segment(const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (!root) {
- return 0;
- }
-
- int result_count = 0;
- pass++;
- _cull_segment(root, p_from, p_to, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask);
-
- return result_count;
-}
-
-template <class T, bool use_pairs, class AL>
-int Octree<T, use_pairs, AL>::cull_point(const Vector3 &p_point, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) {
- if (!root) {
- return 0;
- }
-
- int result_count = 0;
- pass++;
- _cull_point(root, p_point, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask);
-
- return result_count;
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::set_pair_callback(PairCallback p_callback, void *p_userdata) {
- pair_callback = p_callback;
- pair_callback_userdata = p_userdata;
-}
-
-template <class T, bool use_pairs, class AL>
-void Octree<T, use_pairs, AL>::set_unpair_callback(UnpairCallback p_callback, void *p_userdata) {
- unpair_callback = p_callback;
- unpair_callback_userdata = p_userdata;
-}
-
-template <class T, bool use_pairs, class AL>
-Octree<T, use_pairs, AL>::Octree(real_t p_unit_size) {
- unit_size = p_unit_size;
-}
-
-#endif // OCTREE_H
diff --git a/core/math/plane.h b/core/math/plane.h
index 66c1741662..73babfa496 100644
--- a/core/math/plane.h
+++ b/core/math/plane.h
@@ -52,7 +52,7 @@ struct _NO_DISCARD_ Plane {
_FORCE_INLINE_ bool is_point_over(const Vector3 &p_point) const; ///< Point is over plane
_FORCE_INLINE_ real_t distance_to(const Vector3 &p_point) const;
- _FORCE_INLINE_ bool has_point(const Vector3 &p_point, real_t _epsilon = CMP_EPSILON) const;
+ _FORCE_INLINE_ bool has_point(const Vector3 &p_point, real_t p_tolerance = CMP_EPSILON) const;
/* intersections */
@@ -97,10 +97,10 @@ real_t Plane::distance_to(const Vector3 &p_point) const {
return (normal.dot(p_point) - d);
}
-bool Plane::has_point(const Vector3 &p_point, real_t _epsilon) const {
+bool Plane::has_point(const Vector3 &p_point, real_t p_tolerance) const {
real_t dist = normal.dot(p_point) - d;
dist = ABS(dist);
- return (dist <= _epsilon);
+ return (dist <= p_tolerance);
}
Plane::Plane(const Vector3 &p_normal, real_t p_d) :
diff --git a/core/math/camera_matrix.cpp b/core/math/projection.cpp
index 57c53b0adb..edf8bf36cd 100644
--- a/core/math/camera_matrix.cpp
+++ b/core/math/projection.cpp
@@ -1,5 +1,5 @@
/*************************************************************************/
-/* camera_matrix.cpp */
+/* projection.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
@@ -28,7 +28,7 @@
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
-#include "camera_matrix.h"
+#include "projection.h"
#include "core/math/aabb.h"
#include "core/math/math_funcs.h"
@@ -37,7 +37,7 @@
#include "core/math/transform_3d.h"
#include "core/string/print_string.h"
-float CameraMatrix::determinant() const {
+float Projection::determinant() const {
return matrix[0][3] * matrix[1][2] * matrix[2][1] * matrix[3][0] - matrix[0][2] * matrix[1][3] * matrix[2][1] * matrix[3][0] -
matrix[0][3] * matrix[1][1] * matrix[2][2] * matrix[3][0] + matrix[0][1] * matrix[1][3] * matrix[2][2] * matrix[3][0] +
matrix[0][2] * matrix[1][1] * matrix[2][3] * matrix[3][0] - matrix[0][1] * matrix[1][2] * matrix[2][3] * matrix[3][0] -
@@ -52,7 +52,7 @@ float CameraMatrix::determinant() const {
matrix[0][1] * matrix[1][0] * matrix[2][2] * matrix[3][3] + matrix[0][0] * matrix[1][1] * matrix[2][2] * matrix[3][3];
}
-void CameraMatrix::set_identity() {
+void Projection::set_identity() {
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
matrix[i][j] = (i == j) ? 1 : 0;
@@ -60,7 +60,7 @@ void CameraMatrix::set_identity() {
}
}
-void CameraMatrix::set_zero() {
+void Projection::set_zero() {
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
matrix[i][j] = 0;
@@ -68,7 +68,7 @@ void CameraMatrix::set_zero() {
}
}
-Plane CameraMatrix::xform4(const Plane &p_vec4) const {
+Plane Projection::xform4(const Plane &p_vec4) const {
Plane ret;
ret.normal.x = matrix[0][0] * p_vec4.normal.x + matrix[1][0] * p_vec4.normal.y + matrix[2][0] * p_vec4.normal.z + matrix[3][0] * p_vec4.d;
@@ -78,7 +78,22 @@ Plane CameraMatrix::xform4(const Plane &p_vec4) const {
return ret;
}
-void CameraMatrix::adjust_perspective_znear(real_t p_new_znear) {
+Vector4 Projection::xform(const Vector4 &p_vec4) const {
+ return Vector4(
+ matrix[0][0] * p_vec4.x + matrix[1][0] * p_vec4.y + matrix[2][0] * p_vec4.z + matrix[3][0] * p_vec4.w,
+ matrix[0][1] * p_vec4.x + matrix[1][1] * p_vec4.y + matrix[2][1] * p_vec4.z + matrix[3][1] * p_vec4.w,
+ matrix[0][2] * p_vec4.x + matrix[1][2] * p_vec4.y + matrix[2][2] * p_vec4.z + matrix[3][2] * p_vec4.w,
+ matrix[0][3] * p_vec4.x + matrix[1][3] * p_vec4.y + matrix[2][3] * p_vec4.z + matrix[3][3] * p_vec4.w);
+}
+Vector4 Projection::xform_inv(const Vector4 &p_vec4) const {
+ return Vector4(
+ matrix[0][0] * p_vec4.x + matrix[0][1] * p_vec4.y + matrix[0][2] * p_vec4.z + matrix[0][3] * p_vec4.w,
+ matrix[1][0] * p_vec4.x + matrix[1][1] * p_vec4.y + matrix[1][2] * p_vec4.z + matrix[1][3] * p_vec4.w,
+ matrix[2][0] * p_vec4.x + matrix[2][1] * p_vec4.y + matrix[2][2] * p_vec4.z + matrix[2][3] * p_vec4.w,
+ matrix[3][0] * p_vec4.x + matrix[3][1] * p_vec4.y + matrix[3][2] * p_vec4.z + matrix[3][3] * p_vec4.w);
+}
+
+void Projection::adjust_perspective_znear(real_t p_new_znear) {
real_t zfar = get_z_far();
real_t znear = p_new_znear;
@@ -87,7 +102,154 @@ void CameraMatrix::adjust_perspective_znear(real_t p_new_znear) {
matrix[3][2] = -2 * znear * zfar / deltaZ;
}
-void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov) {
+Projection Projection::create_depth_correction(bool p_flip_y) {
+ Projection proj;
+ proj.set_depth_correction(p_flip_y);
+ return proj;
+}
+
+Projection Projection::create_light_atlas_rect(const Rect2 &p_rect) {
+ Projection proj;
+ proj.set_light_atlas_rect(p_rect);
+ return proj;
+}
+
+Projection Projection::create_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov) {
+ Projection proj;
+ proj.set_perspective(p_fovy_degrees, p_aspect, p_z_near, p_z_far, p_flip_fov);
+ return proj;
+}
+
+Projection Projection::create_perspective_hmd(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov, int p_eye, real_t p_intraocular_dist, real_t p_convergence_dist) {
+ Projection proj;
+ proj.set_perspective(p_fovy_degrees, p_aspect, p_z_near, p_z_far, p_flip_fov, p_eye, p_intraocular_dist, p_convergence_dist);
+ return proj;
+}
+
+Projection Projection::create_for_hmd(int p_eye, real_t p_aspect, real_t p_intraocular_dist, real_t p_display_width, real_t p_display_to_lens, real_t p_oversample, real_t p_z_near, real_t p_z_far) {
+ Projection proj;
+ proj.set_for_hmd(p_eye, p_aspect, p_intraocular_dist, p_display_width, p_display_to_lens, p_oversample, p_z_near, p_z_far);
+ return proj;
+}
+
+Projection Projection::create_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar) {
+ Projection proj;
+ proj.set_orthogonal(p_left, p_right, p_bottom, p_top, p_zfar, p_zfar);
+ return proj;
+}
+
+Projection Projection::create_orthogonal_aspect(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov) {
+ Projection proj;
+ proj.set_orthogonal(p_size, p_aspect, p_znear, p_zfar, p_flip_fov);
+ return proj;
+}
+
+Projection Projection::create_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far) {
+ Projection proj;
+ proj.set_frustum(p_left, p_right, p_bottom, p_top, p_near, p_far);
+ return proj;
+}
+
+Projection Projection::create_frustum_aspect(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov) {
+ Projection proj;
+ proj.set_frustum(p_size, p_aspect, p_offset, p_near, p_far, p_flip_fov);
+ return proj;
+}
+
+Projection Projection::create_fit_aabb(const AABB &p_aabb) {
+ Projection proj;
+ proj.scale_translate_to_fit(p_aabb);
+ return proj;
+}
+
+Projection Projection::perspective_znear_adjusted(real_t p_new_znear) const {
+ Projection proj = *this;
+ proj.adjust_perspective_znear(p_new_znear);
+ return proj;
+}
+
+Plane Projection::get_projection_plane(Planes p_plane) const {
+ const real_t *matrix = (const real_t *)this->matrix;
+
+ switch (p_plane) {
+ case PLANE_NEAR: {
+ Plane new_plane = Plane(matrix[3] + matrix[2],
+ matrix[7] + matrix[6],
+ matrix[11] + matrix[10],
+ matrix[15] + matrix[14]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ case PLANE_FAR: {
+ Plane new_plane = Plane(matrix[3] - matrix[2],
+ matrix[7] - matrix[6],
+ matrix[11] - matrix[10],
+ matrix[15] - matrix[14]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ case PLANE_LEFT: {
+ Plane new_plane = Plane(matrix[3] + matrix[0],
+ matrix[7] + matrix[4],
+ matrix[11] + matrix[8],
+ matrix[15] + matrix[12]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ case PLANE_TOP: {
+ Plane new_plane = Plane(matrix[3] - matrix[1],
+ matrix[7] - matrix[5],
+ matrix[11] - matrix[9],
+ matrix[15] - matrix[13]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ case PLANE_RIGHT: {
+ Plane new_plane = Plane(matrix[3] - matrix[0],
+ matrix[7] - matrix[4],
+ matrix[11] - matrix[8],
+ matrix[15] - matrix[12]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ case PLANE_BOTTOM: {
+ Plane new_plane = Plane(matrix[3] + matrix[1],
+ matrix[7] + matrix[5],
+ matrix[11] + matrix[9],
+ matrix[15] + matrix[13]);
+
+ new_plane.normal = -new_plane.normal;
+ new_plane.normalize();
+ return new_plane;
+ } break;
+ }
+
+ return Plane();
+}
+
+Projection Projection::flipped_y() const {
+ Projection proj = *this;
+ proj.flip_y();
+ return proj;
+}
+
+Projection Projection ::jitter_offseted(const Vector2 &p_offset) const {
+ Projection proj = *this;
+ proj.add_jitter_offset(p_offset);
+ return proj;
+}
+
+void Projection::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov) {
if (p_flip_fov) {
p_fovy_degrees = get_fovy(p_fovy_degrees, 1.0 / p_aspect);
}
@@ -113,7 +275,7 @@ void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_
matrix[3][3] = 0;
}
-void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov, int p_eye, real_t p_intraocular_dist, real_t p_convergence_dist) {
+void Projection::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov, int p_eye, real_t p_intraocular_dist, real_t p_convergence_dist) {
if (p_flip_fov) {
p_fovy_degrees = get_fovy(p_fovy_degrees, 1.0 / p_aspect);
}
@@ -145,13 +307,13 @@ void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_
set_frustum(left, right, -ymax, ymax, p_z_near, p_z_far);
// translate matrix by (modeltranslation, 0.0, 0.0)
- CameraMatrix cm;
+ Projection cm;
cm.set_identity();
cm.matrix[3][0] = modeltranslation;
*this = *this * cm;
}
-void CameraMatrix::set_for_hmd(int p_eye, real_t p_aspect, real_t p_intraocular_dist, real_t p_display_width, real_t p_display_to_lens, real_t p_oversample, real_t p_z_near, real_t p_z_far) {
+void Projection::set_for_hmd(int p_eye, real_t p_aspect, real_t p_intraocular_dist, real_t p_display_width, real_t p_display_to_lens, real_t p_oversample, real_t p_z_near, real_t p_z_far) {
// we first calculate our base frustum on our values without taking our lens magnification into account.
real_t f1 = (p_intraocular_dist * 0.5) / p_display_to_lens;
real_t f2 = ((p_display_width - p_intraocular_dist) * 0.5) / p_display_to_lens;
@@ -179,7 +341,7 @@ void CameraMatrix::set_for_hmd(int p_eye, real_t p_aspect, real_t p_intraocular_
}
}
-void CameraMatrix::set_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar) {
+void Projection::set_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar) {
set_identity();
matrix[0][0] = 2.0 / (p_right - p_left);
@@ -191,7 +353,7 @@ void CameraMatrix::set_orthogonal(real_t p_left, real_t p_right, real_t p_bottom
matrix[3][3] = 1.0;
}
-void CameraMatrix::set_orthogonal(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov) {
+void Projection::set_orthogonal(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov) {
if (!p_flip_fov) {
p_size *= p_aspect;
}
@@ -199,7 +361,7 @@ void CameraMatrix::set_orthogonal(real_t p_size, real_t p_aspect, real_t p_znear
set_orthogonal(-p_size / 2, +p_size / 2, -p_size / p_aspect / 2, +p_size / p_aspect / 2, p_znear, p_zfar);
}
-void CameraMatrix::set_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far) {
+void Projection::set_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far) {
ERR_FAIL_COND(p_right <= p_left);
ERR_FAIL_COND(p_top <= p_bottom);
ERR_FAIL_COND(p_far <= p_near);
@@ -231,7 +393,7 @@ void CameraMatrix::set_frustum(real_t p_left, real_t p_right, real_t p_bottom, r
te[15] = 0;
}
-void CameraMatrix::set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov) {
+void Projection::set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov) {
if (!p_flip_fov) {
p_size *= p_aspect;
}
@@ -239,7 +401,7 @@ void CameraMatrix::set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset,
set_frustum(-p_size / 2 + p_offset.x, +p_size / 2 + p_offset.x, -p_size / p_aspect / 2 + p_offset.y, +p_size / p_aspect / 2 + p_offset.y, p_near, p_far);
}
-real_t CameraMatrix::get_z_far() const {
+real_t Projection::get_z_far() const {
const real_t *matrix = (const real_t *)this->matrix;
Plane new_plane = Plane(matrix[3] - matrix[2],
matrix[7] - matrix[6],
@@ -252,7 +414,7 @@ real_t CameraMatrix::get_z_far() const {
return new_plane.d;
}
-real_t CameraMatrix::get_z_near() const {
+real_t Projection::get_z_near() const {
const real_t *matrix = (const real_t *)this->matrix;
Plane new_plane = Plane(matrix[3] + matrix[2],
matrix[7] + matrix[6],
@@ -263,7 +425,7 @@ real_t CameraMatrix::get_z_near() const {
return new_plane.d;
}
-Vector2 CameraMatrix::get_viewport_half_extents() const {
+Vector2 Projection::get_viewport_half_extents() const {
const real_t *matrix = (const real_t *)this->matrix;
///////--- Near Plane ---///////
Plane near_plane = Plane(matrix[3] + matrix[2],
@@ -291,7 +453,7 @@ Vector2 CameraMatrix::get_viewport_half_extents() const {
return Vector2(res.x, res.y);
}
-Vector2 CameraMatrix::get_far_plane_half_extents() const {
+Vector2 Projection::get_far_plane_half_extents() const {
const real_t *matrix = (const real_t *)this->matrix;
///////--- Far Plane ---///////
Plane far_plane = Plane(matrix[3] - matrix[2],
@@ -319,7 +481,7 @@ Vector2 CameraMatrix::get_far_plane_half_extents() const {
return Vector2(res.x, res.y);
}
-bool CameraMatrix::get_endpoints(const Transform3D &p_transform, Vector3 *p_8points) const {
+bool Projection::get_endpoints(const Transform3D &p_transform, Vector3 *p_8points) const {
Vector<Plane> planes = get_projection_planes(Transform3D());
const Planes intersections[8][3] = {
{ PLANE_FAR, PLANE_LEFT, PLANE_TOP },
@@ -342,7 +504,7 @@ bool CameraMatrix::get_endpoints(const Transform3D &p_transform, Vector3 *p_8poi
return true;
}
-Vector<Plane> CameraMatrix::get_projection_planes(const Transform3D &p_transform) const {
+Vector<Plane> Projection::get_projection_planes(const Transform3D &p_transform) const {
/** Fast Plane Extraction from combined modelview/projection matrices.
* References:
* https://web.archive.org/web/20011221205252/https://www.markmorley.com/opengl/frustumculling.html
@@ -425,13 +587,13 @@ Vector<Plane> CameraMatrix::get_projection_planes(const Transform3D &p_transform
return planes;
}
-CameraMatrix CameraMatrix::inverse() const {
- CameraMatrix cm = *this;
+Projection Projection::inverse() const {
+ Projection cm = *this;
cm.invert();
return cm;
}
-void CameraMatrix::invert() {
+void Projection::invert() {
int i, j, k;
int pvt_i[4], pvt_j[4]; /* Locations of pivot matrix */
real_t pvt_val; /* Value of current pivot element */
@@ -529,18 +691,18 @@ void CameraMatrix::invert() {
}
}
-void CameraMatrix::flip_y() {
+void Projection::flip_y() {
for (int i = 0; i < 4; i++) {
matrix[1][i] = -matrix[1][i];
}
}
-CameraMatrix::CameraMatrix() {
+Projection::Projection() {
set_identity();
}
-CameraMatrix CameraMatrix::operator*(const CameraMatrix &p_matrix) const {
- CameraMatrix new_matrix;
+Projection Projection::operator*(const Projection &p_matrix) const {
+ Projection new_matrix;
for (int j = 0; j < 4; j++) {
for (int i = 0; i < 4; i++) {
@@ -555,7 +717,7 @@ CameraMatrix CameraMatrix::operator*(const CameraMatrix &p_matrix) const {
return new_matrix;
}
-void CameraMatrix::set_depth_correction(bool p_flip_y) {
+void Projection::set_depth_correction(bool p_flip_y) {
real_t *m = &matrix[0][0];
m[0] = 1;
@@ -576,7 +738,7 @@ void CameraMatrix::set_depth_correction(bool p_flip_y) {
m[15] = 1.0;
}
-void CameraMatrix::set_light_bias() {
+void Projection::set_light_bias() {
real_t *m = &matrix[0][0];
m[0] = 0.5;
@@ -597,7 +759,7 @@ void CameraMatrix::set_light_bias() {
m[15] = 1.0;
}
-void CameraMatrix::set_light_atlas_rect(const Rect2 &p_rect) {
+void Projection::set_light_atlas_rect(const Rect2 &p_rect) {
real_t *m = &matrix[0][0];
m[0] = p_rect.size.width;
@@ -618,7 +780,7 @@ void CameraMatrix::set_light_atlas_rect(const Rect2 &p_rect) {
m[15] = 1.0;
}
-CameraMatrix::operator String() const {
+Projection::operator String() const {
String str;
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
@@ -629,22 +791,22 @@ CameraMatrix::operator String() const {
return str;
}
-real_t CameraMatrix::get_aspect() const {
+real_t Projection::get_aspect() const {
Vector2 vp_he = get_viewport_half_extents();
return vp_he.x / vp_he.y;
}
-int CameraMatrix::get_pixels_per_meter(int p_for_pixel_width) const {
+int Projection::get_pixels_per_meter(int p_for_pixel_width) const {
Vector3 result = xform(Vector3(1, 0, -1));
return int((result.x * 0.5 + 0.5) * p_for_pixel_width);
}
-bool CameraMatrix::is_orthogonal() const {
+bool Projection::is_orthogonal() const {
return matrix[3][3] == 1.0;
}
-real_t CameraMatrix::get_fov() const {
+real_t Projection::get_fov() const {
const real_t *matrix = (const real_t *)this->matrix;
Plane right_plane = Plane(matrix[3] - matrix[0],
@@ -667,7 +829,7 @@ real_t CameraMatrix::get_fov() const {
}
}
-float CameraMatrix::get_lod_multiplier() const {
+float Projection::get_lod_multiplier() const {
if (is_orthogonal()) {
return get_viewport_half_extents().x;
} else {
@@ -678,14 +840,14 @@ float CameraMatrix::get_lod_multiplier() const {
//usage is lod_size / (lod_distance * multiplier) < threshold
}
-void CameraMatrix::make_scale(const Vector3 &p_scale) {
+void Projection::make_scale(const Vector3 &p_scale) {
set_identity();
matrix[0][0] = p_scale.x;
matrix[1][1] = p_scale.y;
matrix[2][2] = p_scale.z;
}
-void CameraMatrix::scale_translate_to_fit(const AABB &p_aabb) {
+void Projection::scale_translate_to_fit(const AABB &p_aabb) {
Vector3 min = p_aabb.position;
Vector3 max = p_aabb.position + p_aabb.size;
@@ -710,12 +872,12 @@ void CameraMatrix::scale_translate_to_fit(const AABB &p_aabb) {
matrix[3][3] = 1;
}
-void CameraMatrix::add_jitter_offset(const Vector2 &p_offset) {
+void Projection::add_jitter_offset(const Vector2 &p_offset) {
matrix[3][0] += p_offset.x;
matrix[3][1] += p_offset.y;
}
-CameraMatrix::operator Transform3D() const {
+Projection::operator Transform3D() const {
Transform3D tr;
const real_t *m = &matrix[0][0];
@@ -737,8 +899,13 @@ CameraMatrix::operator Transform3D() const {
return tr;
}
-
-CameraMatrix::CameraMatrix(const Transform3D &p_transform) {
+Projection::Projection(const Vector4 &p_x, const Vector4 &p_y, const Vector4 &p_z, const Vector4 &p_w) {
+ matrix[0] = p_x;
+ matrix[1] = p_y;
+ matrix[2] = p_z;
+ matrix[3] = p_w;
+}
+Projection::Projection(const Transform3D &p_transform) {
const Transform3D &tr = p_transform;
real_t *m = &matrix[0][0];
@@ -760,5 +927,5 @@ CameraMatrix::CameraMatrix(const Transform3D &p_transform) {
m[15] = 1.0;
}
-CameraMatrix::~CameraMatrix() {
+Projection::~Projection() {
}
diff --git a/core/math/camera_matrix.h b/core/math/projection.h
index a4051cee3b..a3d2d7720b 100644
--- a/core/math/camera_matrix.h
+++ b/core/math/projection.h
@@ -1,5 +1,5 @@
/*************************************************************************/
-/* camera_matrix.h */
+/* projection.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
@@ -28,11 +28,12 @@
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
-#ifndef CAMERA_MATRIX_H
-#define CAMERA_MATRIX_H
+#ifndef PROJECTION_H
+#define PROJECTION_H
#include "core/math/math_defs.h"
#include "core/math/vector3.h"
+#include "core/math/vector4.h"
#include "core/templates/vector.h"
struct AABB;
@@ -41,7 +42,7 @@ struct Rect2;
struct Transform3D;
struct Vector2;
-struct CameraMatrix {
+struct Projection {
enum Planes {
PLANE_NEAR,
PLANE_FAR,
@@ -51,13 +52,24 @@ struct CameraMatrix {
PLANE_BOTTOM
};
- real_t matrix[4][4];
+ Vector4 matrix[4];
+
+ _FORCE_INLINE_ const Vector4 &operator[](const int p_axis) const {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return matrix[p_axis];
+ }
+
+ _FORCE_INLINE_ Vector4 &operator[](const int p_axis) {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return matrix[p_axis];
+ }
float determinant() const;
void set_identity();
void set_zero();
void set_light_bias();
void set_depth_correction(bool p_flip_y = true);
+
void set_light_atlas_rect(const Rect2 &p_rect);
void set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov = false);
void set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov, int p_eye, real_t p_intraocular_dist, real_t p_convergence_dist);
@@ -68,6 +80,21 @@ struct CameraMatrix {
void set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov = false);
void adjust_perspective_znear(real_t p_new_znear);
+ static Projection create_depth_correction(bool p_flip_y);
+ static Projection create_light_atlas_rect(const Rect2 &p_rect);
+ static Projection create_perspective(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov = false);
+ static Projection create_perspective_hmd(real_t p_fovy_degrees, real_t p_aspect, real_t p_z_near, real_t p_z_far, bool p_flip_fov, int p_eye, real_t p_intraocular_dist, real_t p_convergence_dist);
+ static Projection create_for_hmd(int p_eye, real_t p_aspect, real_t p_intraocular_dist, real_t p_display_width, real_t p_display_to_lens, real_t p_oversample, real_t p_z_near, real_t p_z_far);
+ static Projection create_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar);
+ static Projection create_orthogonal_aspect(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov = false);
+ static Projection create_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far);
+ static Projection create_frustum_aspect(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov = false);
+ static Projection create_fit_aabb(const AABB &p_aabb);
+ Projection perspective_znear_adjusted(real_t p_new_znear) const;
+ Plane get_projection_plane(Planes p_plane) const;
+ Projection flipped_y() const;
+ Projection jitter_offseted(const Vector2 &p_offset) const;
+
static real_t get_fovy(real_t p_fovx, real_t p_aspect) {
return Math::rad2deg(Math::atan(p_aspect * Math::tan(Math::deg2rad(p_fovx) * 0.5)) * 2.0);
}
@@ -85,13 +112,16 @@ struct CameraMatrix {
Vector2 get_far_plane_half_extents() const;
void invert();
- CameraMatrix inverse() const;
+ Projection inverse() const;
- CameraMatrix operator*(const CameraMatrix &p_matrix) const;
+ Projection operator*(const Projection &p_matrix) const;
Plane xform4(const Plane &p_vec4) const;
_FORCE_INLINE_ Vector3 xform(const Vector3 &p_vec3) const;
+ Vector4 xform(const Vector4 &p_vec4) const;
+ Vector4 xform_inv(const Vector4 &p_vec4) const;
+
operator String() const;
void scale_translate_to_fit(const AABB &p_aabb);
@@ -102,7 +132,7 @@ struct CameraMatrix {
void flip_y();
- bool operator==(const CameraMatrix &p_cam) const {
+ bool operator==(const Projection &p_cam) const {
for (uint32_t i = 0; i < 4; i++) {
for (uint32_t j = 0; j < 4; j++) {
if (matrix[i][j] != p_cam.matrix[i][j]) {
@@ -113,18 +143,19 @@ struct CameraMatrix {
return true;
}
- bool operator!=(const CameraMatrix &p_cam) const {
+ bool operator!=(const Projection &p_cam) const {
return !(*this == p_cam);
}
float get_lod_multiplier() const;
- CameraMatrix();
- CameraMatrix(const Transform3D &p_transform);
- ~CameraMatrix();
+ Projection();
+ Projection(const Vector4 &p_x, const Vector4 &p_y, const Vector4 &p_z, const Vector4 &p_w);
+ Projection(const Transform3D &p_transform);
+ ~Projection();
};
-Vector3 CameraMatrix::xform(const Vector3 &p_vec3) const {
+Vector3 Projection::xform(const Vector3 &p_vec3) const {
Vector3 ret;
ret.x = matrix[0][0] * p_vec3.x + matrix[1][0] * p_vec3.y + matrix[2][0] * p_vec3.z + matrix[3][0];
ret.y = matrix[0][1] * p_vec3.x + matrix[1][1] * p_vec3.y + matrix[2][1] * p_vec3.z + matrix[3][1];
@@ -133,4 +164,4 @@ Vector3 CameraMatrix::xform(const Vector3 &p_vec3) const {
return ret / w;
}
-#endif // CAMERA_MATRIX_H
+#endif // PROJECTION_H
diff --git a/core/math/quaternion.cpp b/core/math/quaternion.cpp
index 11bfcc1a6f..c681c60694 100644
--- a/core/math/quaternion.cpp
+++ b/core/math/quaternion.cpp
@@ -111,7 +111,7 @@ Quaternion Quaternion::log() const {
Quaternion Quaternion::exp() const {
Quaternion src = *this;
Vector3 src_v = Vector3(src.x, src.y, src.z);
- float theta = src_v.length();
+ real_t theta = src_v.length();
if (theta < CMP_EPSILON) {
return Quaternion(0, 0, 0, 1);
}
@@ -132,15 +132,9 @@ Quaternion Quaternion::slerp(const Quaternion &p_to, const real_t &p_weight) con
// adjust signs (if necessary)
if (cosom < 0.0f) {
cosom = -cosom;
- to1.x = -p_to.x;
- to1.y = -p_to.y;
- to1.z = -p_to.z;
- to1.w = -p_to.w;
+ to1 = -p_to;
} else {
- to1.x = p_to.x;
- to1.y = p_to.y;
- to1.z = p_to.z;
- to1.w = p_to.w;
+ to1 = p_to;
}
// calculate coefficients
@@ -189,16 +183,54 @@ Quaternion Quaternion::slerpni(const Quaternion &p_to, const real_t &p_weight) c
invFactor * from.w + newFactor * p_to.w);
}
-Quaternion Quaternion::cubic_slerp(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const {
+Quaternion Quaternion::spherical_cubic_interpolate(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const {
#ifdef MATH_CHECKS
ERR_FAIL_COND_V_MSG(!is_normalized(), Quaternion(), "The start quaternion must be normalized.");
ERR_FAIL_COND_V_MSG(!p_b.is_normalized(), Quaternion(), "The end quaternion must be normalized.");
#endif
- //the only way to do slerp :|
- real_t t2 = (1.0f - p_weight) * p_weight * 2;
- Quaternion sp = this->slerp(p_b, p_weight);
- Quaternion sq = p_pre_a.slerpni(p_post_b, p_weight);
- return sp.slerpni(sq, t2);
+ Quaternion from_q = *this;
+ Quaternion pre_q = p_pre_a;
+ Quaternion to_q = p_b;
+ Quaternion post_q = p_post_b;
+
+ // Align flip phases.
+ from_q = Basis(from_q).get_rotation_quaternion();
+ pre_q = Basis(pre_q).get_rotation_quaternion();
+ to_q = Basis(to_q).get_rotation_quaternion();
+ post_q = Basis(post_q).get_rotation_quaternion();
+
+ // Flip quaternions to shortest path if necessary.
+ bool flip1 = signbit(from_q.dot(pre_q));
+ pre_q = flip1 ? -pre_q : pre_q;
+ bool flip2 = signbit(from_q.dot(to_q));
+ to_q = flip2 ? -to_q : to_q;
+ bool flip3 = flip2 ? to_q.dot(post_q) <= 0 : signbit(to_q.dot(post_q));
+ post_q = flip3 ? -post_q : post_q;
+
+ // Calc by Expmap in from_q space.
+ Quaternion ln_from = Quaternion(0, 0, 0, 0);
+ Quaternion ln_to = (from_q.inverse() * to_q).log();
+ Quaternion ln_pre = (from_q.inverse() * pre_q).log();
+ Quaternion ln_post = (from_q.inverse() * post_q).log();
+ Quaternion ln = Quaternion(0, 0, 0, 0);
+ ln.x = Math::cubic_interpolate(ln_from.x, ln_to.x, ln_pre.x, ln_post.x, p_weight);
+ ln.y = Math::cubic_interpolate(ln_from.y, ln_to.y, ln_pre.y, ln_post.y, p_weight);
+ ln.z = Math::cubic_interpolate(ln_from.z, ln_to.z, ln_pre.z, ln_post.z, p_weight);
+ Quaternion q1 = from_q * ln.exp();
+
+ // Calc by Expmap in to_q space.
+ ln_from = (to_q.inverse() * from_q).log();
+ ln_to = Quaternion(0, 0, 0, 0);
+ ln_pre = (to_q.inverse() * pre_q).log();
+ ln_post = (to_q.inverse() * post_q).log();
+ ln = Quaternion(0, 0, 0, 0);
+ ln.x = Math::cubic_interpolate(ln_from.x, ln_to.x, ln_pre.x, ln_post.x, p_weight);
+ ln.y = Math::cubic_interpolate(ln_from.y, ln_to.y, ln_pre.y, ln_post.y, p_weight);
+ ln.z = Math::cubic_interpolate(ln_from.z, ln_to.z, ln_pre.z, ln_post.z, p_weight);
+ Quaternion q2 = to_q * ln.exp();
+
+ // To cancel error made by Expmap ambiguity, do blends.
+ return q1.slerp(q2, p_weight);
}
Quaternion::operator String() const {
@@ -213,7 +245,7 @@ Vector3 Quaternion::get_axis() const {
return Vector3(x * r, y * r, z * r);
}
-float Quaternion::get_angle() const {
+real_t Quaternion::get_angle() const {
return 2 * Math::acos(w);
}
diff --git a/core/math/quaternion.h b/core/math/quaternion.h
index 9801746659..cb54a6f540 100644
--- a/core/math/quaternion.h
+++ b/core/math/quaternion.h
@@ -71,10 +71,10 @@ struct _NO_DISCARD_ Quaternion {
Quaternion slerp(const Quaternion &p_to, const real_t &p_weight) const;
Quaternion slerpni(const Quaternion &p_to, const real_t &p_weight) const;
- Quaternion cubic_slerp(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const;
+ Quaternion spherical_cubic_interpolate(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const;
Vector3 get_axis() const;
- float get_angle() const;
+ real_t get_angle() const;
_FORCE_INLINE_ void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
r_angle = 2 * Math::acos(w);
diff --git a/core/math/transform_2d.cpp b/core/math/transform_2d.cpp
index cbd2fd3fa1..226076029b 100644
--- a/core/math/transform_2d.cpp
+++ b/core/math/transform_2d.cpp
@@ -136,11 +136,11 @@ void Transform2D::scale_basis(const Size2 &p_scale) {
columns[1][1] *= p_scale.y;
}
-void Transform2D::translate(const real_t p_tx, const real_t p_ty) {
- translate(Vector2(p_tx, p_ty));
+void Transform2D::translate_local(const real_t p_tx, const real_t p_ty) {
+ translate_local(Vector2(p_tx, p_ty));
}
-void Transform2D::translate(const Vector2 &p_translation) {
+void Transform2D::translate_local(const Vector2 &p_translation) {
columns[2] += basis_xform(p_translation);
}
@@ -217,18 +217,24 @@ Transform2D Transform2D::operator*(const Transform2D &p_transform) const {
return t;
}
-Transform2D Transform2D::scaled(const Size2 &p_scale) const {
+Transform2D Transform2D::basis_scaled(const Size2 &p_scale) const {
Transform2D copy = *this;
- copy.scale(p_scale);
+ copy.scale_basis(p_scale);
return copy;
}
-Transform2D Transform2D::basis_scaled(const Size2 &p_scale) const {
+Transform2D Transform2D::scaled(const Size2 &p_scale) const {
+ // Equivalent to left multiplication
Transform2D copy = *this;
- copy.scale_basis(p_scale);
+ copy.scale(p_scale);
return copy;
}
+Transform2D Transform2D::scaled_local(const Size2 &p_scale) const {
+ // Equivalent to right multiplication
+ return Transform2D(columns[0] * p_scale.x, columns[1] * p_scale.y, columns[2]);
+}
+
Transform2D Transform2D::untranslated() const {
Transform2D copy = *this;
copy.columns[2] = Vector2();
@@ -236,15 +242,23 @@ Transform2D Transform2D::untranslated() const {
}
Transform2D Transform2D::translated(const Vector2 &p_offset) const {
- Transform2D copy = *this;
- copy.translate(p_offset);
- return copy;
+ // Equivalent to left multiplication
+ return Transform2D(columns[0], columns[1], columns[2] + p_offset);
+}
+
+Transform2D Transform2D::translated_local(const Vector2 &p_offset) const {
+ // Equivalent to right multiplication
+ return Transform2D(columns[0], columns[1], columns[2] + basis_xform(p_offset));
}
Transform2D Transform2D::rotated(const real_t p_angle) const {
- Transform2D copy = *this;
- copy.rotate(p_angle);
- return copy;
+ // Equivalent to left multiplication
+ return Transform2D(p_angle, Vector2()) * (*this);
+}
+
+Transform2D Transform2D::rotated_local(const real_t p_angle) const {
+ // Equivalent to right multiplication
+ return (*this) * Transform2D(p_angle, Vector2()); // Could be optimized, because origin transform can be skipped.
}
real_t Transform2D::basis_determinant() const {
diff --git a/core/math/transform_2d.h b/core/math/transform_2d.h
index 72d34a5d4c..f23f32867a 100644
--- a/core/math/transform_2d.h
+++ b/core/math/transform_2d.h
@@ -74,8 +74,8 @@ struct _NO_DISCARD_ Transform2D {
void scale(const Size2 &p_scale);
void scale_basis(const Size2 &p_scale);
- void translate(const real_t p_tx, const real_t p_ty);
- void translate(const Vector2 &p_translation);
+ void translate_local(const real_t p_tx, const real_t p_ty);
+ void translate_local(const Vector2 &p_translation);
real_t basis_determinant() const;
@@ -85,10 +85,13 @@ struct _NO_DISCARD_ Transform2D {
_FORCE_INLINE_ const Vector2 &get_origin() const { return columns[2]; }
_FORCE_INLINE_ void set_origin(const Vector2 &p_origin) { columns[2] = p_origin; }
- Transform2D scaled(const Size2 &p_scale) const;
Transform2D basis_scaled(const Size2 &p_scale) const;
+ Transform2D scaled(const Size2 &p_scale) const;
+ Transform2D scaled_local(const Size2 &p_scale) const;
Transform2D translated(const Vector2 &p_offset) const;
+ Transform2D translated_local(const Vector2 &p_offset) const;
Transform2D rotated(const real_t p_angle) const;
+ Transform2D rotated_local(const real_t p_angle) const;
Transform2D untranslated() const;
diff --git a/core/math/transform_3d.cpp b/core/math/transform_3d.cpp
index 76b31daa76..a634faca9a 100644
--- a/core/math/transform_3d.cpp
+++ b/core/math/transform_3d.cpp
@@ -62,7 +62,15 @@ void Transform3D::rotate(const Vector3 &p_axis, real_t p_angle) {
}
Transform3D Transform3D::rotated(const Vector3 &p_axis, real_t p_angle) const {
- return Transform3D(Basis(p_axis, p_angle), Vector3()) * (*this);
+ // Equivalent to left multiplication
+ Basis p_basis(p_axis, p_angle);
+ return Transform3D(p_basis * basis, p_basis.xform(origin));
+}
+
+Transform3D Transform3D::rotated_local(const Vector3 &p_axis, real_t p_angle) const {
+ // Equivalent to right multiplication
+ Basis p_basis(p_axis, p_angle);
+ return Transform3D(basis * p_basis, origin);
}
void Transform3D::rotate_basis(const Vector3 &p_axis, real_t p_angle) {
@@ -70,17 +78,23 @@ void Transform3D::rotate_basis(const Vector3 &p_axis, real_t p_angle) {
}
Transform3D Transform3D::looking_at(const Vector3 &p_target, const Vector3 &p_up) const {
+#ifdef MATH_CHECKS
+ ERR_FAIL_COND_V_MSG(origin.is_equal_approx(p_target), Transform3D(), "The transform's origin and target can't be equal.");
+#endif
Transform3D t = *this;
t.basis = Basis::looking_at(p_target - origin, p_up);
return t;
}
void Transform3D::set_look_at(const Vector3 &p_eye, const Vector3 &p_target, const Vector3 &p_up) {
+#ifdef MATH_CHECKS
+ ERR_FAIL_COND_MSG(p_eye.is_equal_approx(p_target), "The eye and target vectors can't be equal.");
+#endif
basis = Basis::looking_at(p_target - p_eye, p_up);
origin = p_eye;
}
-Transform3D Transform3D::sphere_interpolate_with(const Transform3D &p_transform, real_t p_c) const {
+Transform3D Transform3D::spherical_interpolate_with(const Transform3D &p_transform, real_t p_c) const {
/* not sure if very "efficient" but good enough? */
Transform3D interp;
@@ -114,29 +128,37 @@ void Transform3D::scale(const Vector3 &p_scale) {
}
Transform3D Transform3D::scaled(const Vector3 &p_scale) const {
- Transform3D t = *this;
- t.scale(p_scale);
- return t;
+ // Equivalent to left multiplication
+ return Transform3D(basis.scaled(p_scale), origin * p_scale);
+}
+
+Transform3D Transform3D::scaled_local(const Vector3 &p_scale) const {
+ // Equivalent to right multiplication
+ return Transform3D(basis.scaled_local(p_scale), origin);
}
void Transform3D::scale_basis(const Vector3 &p_scale) {
basis.scale(p_scale);
}
-void Transform3D::translate(real_t p_tx, real_t p_ty, real_t p_tz) {
- translate(Vector3(p_tx, p_ty, p_tz));
+void Transform3D::translate_local(real_t p_tx, real_t p_ty, real_t p_tz) {
+ translate_local(Vector3(p_tx, p_ty, p_tz));
}
-void Transform3D::translate(const Vector3 &p_translation) {
+void Transform3D::translate_local(const Vector3 &p_translation) {
for (int i = 0; i < 3; i++) {
origin[i] += basis[i].dot(p_translation);
}
}
Transform3D Transform3D::translated(const Vector3 &p_translation) const {
- Transform3D t = *this;
- t.translate(p_translation);
- return t;
+ // Equivalent to left multiplication
+ return Transform3D(basis, origin + p_translation);
+}
+
+Transform3D Transform3D::translated_local(const Vector3 &p_translation) const {
+ // Equivalent to right multiplication
+ return Transform3D(basis, origin + basis.xform(p_translation));
}
void Transform3D::orthonormalize() {
diff --git a/core/math/transform_3d.h b/core/math/transform_3d.h
index 25832434cd..b572e90859 100644
--- a/core/math/transform_3d.h
+++ b/core/math/transform_3d.h
@@ -46,6 +46,7 @@ struct _NO_DISCARD_ Transform3D {
Transform3D affine_inverse() const;
Transform3D rotated(const Vector3 &p_axis, real_t p_angle) const;
+ Transform3D rotated_local(const Vector3 &p_axis, real_t p_angle) const;
void rotate(const Vector3 &p_axis, real_t p_angle);
void rotate_basis(const Vector3 &p_axis, real_t p_angle);
@@ -55,10 +56,12 @@ struct _NO_DISCARD_ Transform3D {
void scale(const Vector3 &p_scale);
Transform3D scaled(const Vector3 &p_scale) const;
+ Transform3D scaled_local(const Vector3 &p_scale) const;
void scale_basis(const Vector3 &p_scale);
- void translate(real_t p_tx, real_t p_ty, real_t p_tz);
- void translate(const Vector3 &p_translation);
+ void translate_local(real_t p_tx, real_t p_ty, real_t p_tz);
+ void translate_local(const Vector3 &p_translation);
Transform3D translated(const Vector3 &p_translation) const;
+ Transform3D translated_local(const Vector3 &p_translation) const;
const Basis &get_basis() const { return basis; }
void set_basis(const Basis &p_basis) { basis = p_basis; }
@@ -100,7 +103,7 @@ struct _NO_DISCARD_ Transform3D {
void operator*=(const real_t p_val);
Transform3D operator*(const real_t p_val) const;
- Transform3D sphere_interpolate_with(const Transform3D &p_transform, real_t p_c) const;
+ Transform3D spherical_interpolate_with(const Transform3D &p_transform, real_t p_c) const;
Transform3D interpolate_with(const Transform3D &p_transform, real_t p_c) const;
_FORCE_INLINE_ Transform3D inverse_xform(const Transform3D &t) const {
diff --git a/core/math/triangle_mesh.cpp b/core/math/triangle_mesh.cpp
index 54461bf70f..4433559e6d 100644
--- a/core/math/triangle_mesh.cpp
+++ b/core/math/triangle_mesh.cpp
@@ -104,9 +104,11 @@ void TriangleMesh::get_indices(Vector<int> *r_triangles_indices) const {
}
}
-void TriangleMesh::create(const Vector<Vector3> &p_faces) {
+void TriangleMesh::create(const Vector<Vector3> &p_faces, const Vector<int32_t> &p_surface_indices) {
valid = false;
+ ERR_FAIL_COND(p_surface_indices.size() && p_surface_indices.size() != p_faces.size());
+
int fc = p_faces.size();
ERR_FAIL_COND(!fc || ((fc % 3) != 0));
fc /= 3;
@@ -121,6 +123,7 @@ void TriangleMesh::create(const Vector<Vector3> &p_faces) {
//goes in-place.
const Vector3 *r = p_faces.ptr();
+ const int32_t *si = p_surface_indices.ptr();
Triangle *w = triangles.ptrw();
HashMap<Vector3, int> db;
@@ -148,6 +151,7 @@ void TriangleMesh::create(const Vector<Vector3> &p_faces) {
}
f.normal = Face3(r[i * 3 + 0], r[i * 3 + 1], r[i * 3 + 2]).get_plane().get_normal();
+ f.surface_index = si ? si[i] : 0;
bw[i].left = -1;
bw[i].right = -1;
@@ -264,7 +268,7 @@ Vector3 TriangleMesh::get_area_normal(const AABB &p_aabb) const {
return n;
}
-bool TriangleMesh::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal) const {
+bool TriangleMesh::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal, int32_t *r_surf_index) const {
uint32_t *stack = (uint32_t *)alloca(sizeof(int) * max_depth);
enum {
@@ -317,6 +321,9 @@ bool TriangleMesh::intersect_segment(const Vector3 &p_begin, const Vector3 &p_en
d = nd;
r_point = res;
r_normal = f3.get_plane().get_normal();
+ if (r_surf_index) {
+ *r_surf_index = s.surface_index;
+ }
inters = true;
}
}
@@ -366,7 +373,7 @@ bool TriangleMesh::intersect_segment(const Vector3 &p_begin, const Vector3 &p_en
return inters;
}
-bool TriangleMesh::intersect_ray(const Vector3 &p_begin, const Vector3 &p_dir, Vector3 &r_point, Vector3 &r_normal) const {
+bool TriangleMesh::intersect_ray(const Vector3 &p_begin, const Vector3 &p_dir, Vector3 &r_point, Vector3 &r_normal, int32_t *r_surf_index) const {
uint32_t *stack = (uint32_t *)alloca(sizeof(int) * max_depth);
enum {
@@ -417,6 +424,9 @@ bool TriangleMesh::intersect_ray(const Vector3 &p_begin, const Vector3 &p_dir, V
d = nd;
r_point = res;
r_normal = f3.get_plane().get_normal();
+ if (r_surf_index) {
+ *r_surf_index = s.surface_index;
+ }
inters = true;
}
}
diff --git a/core/math/triangle_mesh.h b/core/math/triangle_mesh.h
index 1b99945698..166b4adb7a 100644
--- a/core/math/triangle_mesh.h
+++ b/core/math/triangle_mesh.h
@@ -41,6 +41,7 @@ public:
struct Triangle {
Vector3 normal;
int indices[3];
+ int32_t surface_index;
};
private:
@@ -81,8 +82,8 @@ private:
public:
bool is_valid() const;
- bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal) const;
- bool intersect_ray(const Vector3 &p_begin, const Vector3 &p_dir, Vector3 &r_point, Vector3 &r_normal) const;
+ bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal, int32_t *r_surf_index = nullptr) const;
+ bool intersect_ray(const Vector3 &p_begin, const Vector3 &p_dir, Vector3 &r_point, Vector3 &r_normal, int32_t *r_surf_index = nullptr) const;
bool intersect_convex_shape(const Plane *p_planes, int p_plane_count, const Vector3 *p_points, int p_point_count) const;
bool inside_convex_shape(const Plane *p_planes, int p_plane_count, const Vector3 *p_points, int p_point_count, Vector3 p_scale = Vector3(1, 1, 1)) const;
Vector3 get_area_normal(const AABB &p_aabb) const;
@@ -92,7 +93,7 @@ public:
const Vector<Vector3> &get_vertices() const { return vertices; }
void get_indices(Vector<int> *r_triangles_indices) const;
- void create(const Vector<Vector3> &p_faces);
+ void create(const Vector<Vector3> &p_faces, const Vector<int32_t> &p_surface_indices = Vector<int32_t>());
TriangleMesh();
};
diff --git a/core/math/vector2.cpp b/core/math/vector2.cpp
index a27227905c..d9b5d55454 100644
--- a/core/math/vector2.cpp
+++ b/core/math/vector2.cpp
@@ -152,13 +152,6 @@ Vector2 Vector2::limit_length(const real_t p_len) const {
return v;
}
-Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const {
- Vector2 res = *this;
- res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
- res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
- return res;
-}
-
Vector2 Vector2::move_toward(const Vector2 &p_to, const real_t p_delta) const {
Vector2 v = *this;
Vector2 vd = p_to - v;
diff --git a/core/math/vector2.h b/core/math/vector2.h
index bd67299f33..91d3d3a56b 100644
--- a/core/math/vector2.h
+++ b/core/math/vector2.h
@@ -113,7 +113,9 @@ struct _NO_DISCARD_ Vector2 {
_FORCE_INLINE_ Vector2 lerp(const Vector2 &p_to, const real_t p_weight) const;
_FORCE_INLINE_ Vector2 slerp(const Vector2 &p_to, const real_t p_weight) const;
- Vector2 cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const;
+ _FORCE_INLINE_ Vector2 cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const;
+ _FORCE_INLINE_ Vector2 bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const;
+
Vector2 move_toward(const Vector2 &p_to, const real_t p_delta) const;
Vector2 slide(const Vector2 &p_normal) const;
@@ -261,6 +263,26 @@ Vector2 Vector2::slerp(const Vector2 &p_to, const real_t p_weight) const {
return rotated(angle * p_weight) * (result_length / start_length);
}
+Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const {
+ Vector2 res = *this;
+ res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
+ res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
+ return res;
+}
+
+Vector2 Vector2::bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const {
+ Vector2 res = *this;
+
+ /* Formula from Wikipedia article on Bezier curves. */
+ real_t omt = (1.0 - p_t);
+ real_t omt2 = omt * omt;
+ real_t omt3 = omt2 * omt;
+ real_t t2 = p_t * p_t;
+ real_t t3 = t2 * p_t;
+
+ return res * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3;
+}
+
Vector2 Vector2::direction_to(const Vector2 &p_to) const {
Vector2 ret(p_to.x - x, p_to.y - y);
ret.normalize();
diff --git a/core/math/vector3.cpp b/core/math/vector3.cpp
index f94f39b7f2..d71d365053 100644
--- a/core/math/vector3.cpp
+++ b/core/math/vector3.cpp
@@ -85,14 +85,6 @@ Vector3 Vector3::limit_length(const real_t p_len) const {
return v;
}
-Vector3 Vector3::cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const {
- Vector3 res = *this;
- res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
- res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
- res.z = Math::cubic_interpolate(res.z, p_b.z, p_pre_a.z, p_post_b.z, p_weight);
- return res;
-}
-
Vector3 Vector3::move_toward(const Vector3 &p_to, const real_t p_delta) const {
Vector3 v = *this;
Vector3 vd = p_to - v;
diff --git a/core/math/vector3.h b/core/math/vector3.h
index 8891532f42..4ce01da60e 100644
--- a/core/math/vector3.h
+++ b/core/math/vector3.h
@@ -104,7 +104,9 @@ struct _NO_DISCARD_ Vector3 {
_FORCE_INLINE_ Vector3 lerp(const Vector3 &p_to, const real_t p_weight) const;
_FORCE_INLINE_ Vector3 slerp(const Vector3 &p_to, const real_t p_weight) const;
- Vector3 cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const;
+ _FORCE_INLINE_ Vector3 cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const;
+ _FORCE_INLINE_ Vector3 bezier_interpolate(const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t) const;
+
Vector3 move_toward(const Vector3 &p_to, const real_t p_delta) const;
Vector2 octahedron_encode() const;
@@ -215,16 +217,46 @@ Vector3 Vector3::lerp(const Vector3 &p_to, const real_t p_weight) const {
}
Vector3 Vector3::slerp(const Vector3 &p_to, const real_t p_weight) const {
+ // This method seems more complicated than it really is, since we write out
+ // the internals of some methods for efficiency (mainly, checking length).
real_t start_length_sq = length_squared();
real_t end_length_sq = p_to.length_squared();
if (unlikely(start_length_sq == 0.0f || end_length_sq == 0.0f)) {
// Zero length vectors have no angle, so the best we can do is either lerp or throw an error.
return lerp(p_to, p_weight);
}
+ Vector3 axis = cross(p_to);
+ real_t axis_length_sq = axis.length_squared();
+ if (unlikely(axis_length_sq == 0.0f)) {
+ // Colinear vectors have no rotation axis or angle between them, so the best we can do is lerp.
+ return lerp(p_to, p_weight);
+ }
+ axis /= Math::sqrt(axis_length_sq);
real_t start_length = Math::sqrt(start_length_sq);
real_t result_length = Math::lerp(start_length, Math::sqrt(end_length_sq), p_weight);
real_t angle = angle_to(p_to);
- return rotated(cross(p_to).normalized(), angle * p_weight) * (result_length / start_length);
+ return rotated(axis, angle * p_weight) * (result_length / start_length);
+}
+
+Vector3 Vector3::cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const {
+ Vector3 res = *this;
+ res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
+ res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
+ res.z = Math::cubic_interpolate(res.z, p_b.z, p_pre_a.z, p_post_b.z, p_weight);
+ return res;
+}
+
+Vector3 Vector3::bezier_interpolate(const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t) const {
+ Vector3 res = *this;
+
+ /* Formula from Wikipedia article on Bezier curves. */
+ real_t omt = (1.0 - p_t);
+ real_t omt2 = omt * omt;
+ real_t omt3 = omt2 * omt;
+ real_t t2 = p_t * p_t;
+ real_t t3 = t2 * p_t;
+
+ return res * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3;
}
real_t Vector3::distance_to(const Vector3 &p_to) const {
diff --git a/core/math/vector4.cpp b/core/math/vector4.cpp
new file mode 100644
index 0000000000..4697c311b4
--- /dev/null
+++ b/core/math/vector4.cpp
@@ -0,0 +1,172 @@
+/*************************************************************************/
+/* vector4.cpp */
+/*************************************************************************/
+/* This file is part of: */
+/* GODOT ENGINE */
+/* https://godotengine.org */
+/*************************************************************************/
+/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
+/* Copyright (c) 2014-2022 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 "vector4.h"
+
+#include "core/math/basis.h"
+#include "core/string/print_string.h"
+
+void Vector4::set_axis(const int p_axis, const real_t p_value) {
+ ERR_FAIL_INDEX(p_axis, 4);
+ components[p_axis] = p_value;
+}
+
+real_t Vector4::get_axis(const int p_axis) const {
+ ERR_FAIL_INDEX_V(p_axis, 4, 0);
+ return operator[](p_axis);
+}
+
+Vector4::Axis Vector4::min_axis_index() const {
+ uint32_t min_index = 0;
+ real_t min_value = x;
+ for (uint32_t i = 1; i < 4; i++) {
+ if (operator[](i) <= min_value) {
+ min_index = i;
+ min_value = operator[](i);
+ }
+ }
+ return Vector4::Axis(min_index);
+}
+
+Vector4::Axis Vector4::max_axis_index() const {
+ uint32_t max_index = 0;
+ real_t max_value = x;
+ for (uint32_t i = 1; i < 4; i++) {
+ if (operator[](i) > max_value) {
+ max_index = i;
+ max_value = operator[](i);
+ }
+ }
+ return Vector4::Axis(max_index);
+}
+
+bool Vector4::is_equal_approx(const Vector4 &p_vec4) const {
+ return Math::is_equal_approx(x, p_vec4.x) && Math::is_equal_approx(y, p_vec4.y) && Math::is_equal_approx(z, p_vec4.z) && Math::is_equal_approx(w, p_vec4.w);
+}
+
+real_t Vector4::length() const {
+ return Math::sqrt(length_squared());
+}
+
+void Vector4::normalize() {
+ *this /= length();
+}
+
+Vector4 Vector4::normalized() const {
+ return *this / length();
+}
+
+bool Vector4::is_normalized() const {
+ return Math::is_equal_approx(length_squared(), 1, (real_t)UNIT_EPSILON); // Use less epsilon.
+}
+
+real_t Vector4::distance_to(const Vector4 &p_to) const {
+ return (p_to - *this).length();
+}
+
+Vector4 Vector4::direction_to(const Vector4 &p_to) const {
+ Vector4 ret(p_to.x - x, p_to.y - y, p_to.z - z, p_to.w - w);
+ ret.normalize();
+ return ret;
+}
+
+Vector4 Vector4::abs() const {
+ return Vector4(Math::abs(x), Math::abs(y), Math::abs(z), Math::abs(w));
+}
+
+Vector4 Vector4::sign() const {
+ return Vector4(SIGN(x), SIGN(y), SIGN(z), SIGN(w));
+}
+
+Vector4 Vector4::floor() const {
+ return Vector4(Math::floor(x), Math::floor(y), Math::floor(z), Math::floor(w));
+}
+
+Vector4 Vector4::ceil() const {
+ return Vector4(Math::ceil(x), Math::ceil(y), Math::ceil(z), Math::ceil(w));
+}
+
+Vector4 Vector4::round() const {
+ return Vector4(Math::round(x), Math::round(y), Math::round(z), Math::round(w));
+}
+
+Vector4 Vector4::lerp(const Vector4 &p_to, const real_t p_weight) const {
+ return Vector4(
+ x + (p_weight * (p_to.x - x)),
+ y + (p_weight * (p_to.y - y)),
+ z + (p_weight * (p_to.z - z)),
+ w + (p_weight * (p_to.w - w)));
+}
+
+Vector4 Vector4::cubic_interpolate(const Vector4 &p_b, const Vector4 &p_pre_a, const Vector4 &p_post_b, const real_t p_weight) const {
+ Vector4 res = *this;
+ res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
+ res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
+ res.z = Math::cubic_interpolate(res.z, p_b.z, p_pre_a.z, p_post_b.z, p_weight);
+ res.w = Math::cubic_interpolate(res.w, p_b.w, p_pre_a.w, p_post_b.w, p_weight);
+ return res;
+}
+
+Vector4 Vector4::posmod(const real_t p_mod) const {
+ return Vector4(Math::fposmod(x, p_mod), Math::fposmod(y, p_mod), Math::fposmod(z, p_mod), Math::fposmod(w, p_mod));
+}
+
+Vector4 Vector4::posmodv(const Vector4 &p_modv) const {
+ return Vector4(Math::fposmod(x, p_modv.x), Math::fposmod(y, p_modv.y), Math::fposmod(z, p_modv.z), Math::fposmod(w, p_modv.w));
+}
+
+void Vector4::snap(const Vector4 &p_step) {
+ x = Math::snapped(x, p_step.x);
+ y = Math::snapped(y, p_step.y);
+ z = Math::snapped(z, p_step.z);
+ w = Math::snapped(w, p_step.w);
+}
+
+Vector4 Vector4::snapped(const Vector4 &p_step) const {
+ Vector4 v = *this;
+ v.snap(p_step);
+ return v;
+}
+
+Vector4 Vector4::inverse() const {
+ return Vector4(1.0f / x, 1.0f / y, 1.0f / z, 1.0f / w);
+}
+
+Vector4 Vector4::clamp(const Vector4 &p_min, const Vector4 &p_max) const {
+ return Vector4(
+ CLAMP(x, p_min.x, p_max.x),
+ CLAMP(y, p_min.y, p_max.y),
+ CLAMP(z, p_min.z, p_max.z),
+ CLAMP(w, p_min.w, p_max.w));
+}
+
+Vector4::operator String() const {
+ return "(" + String::num_real(x, false) + ", " + String::num_real(y, false) + ", " + String::num_real(z, false) + ", " + String::num_real(w, false) + ")";
+}
diff --git a/core/math/vector4.h b/core/math/vector4.h
new file mode 100644
index 0000000000..373a6a1218
--- /dev/null
+++ b/core/math/vector4.h
@@ -0,0 +1,302 @@
+/*************************************************************************/
+/* vector4.h */
+/*************************************************************************/
+/* This file is part of: */
+/* GODOT ENGINE */
+/* https://godotengine.org */
+/*************************************************************************/
+/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
+/* Copyright (c) 2014-2022 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 VECTOR4_H
+#define VECTOR4_H
+
+#include "core/math/math_defs.h"
+#include "core/math/math_funcs.h"
+#include "core/math/vector3.h"
+#include "core/string/ustring.h"
+
+struct _NO_DISCARD_ Vector4 {
+ enum Axis {
+ AXIS_X,
+ AXIS_Y,
+ AXIS_Z,
+ AXIS_W,
+ };
+
+ union {
+ struct {
+ real_t x;
+ real_t y;
+ real_t z;
+ real_t w;
+ };
+ real_t components[4] = { 0, 0, 0, 0 };
+ };
+
+ _FORCE_INLINE_ real_t &operator[](const int p_axis) {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return components[p_axis];
+ }
+ _FORCE_INLINE_ const real_t &operator[](const int p_axis) const {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return components[p_axis];
+ }
+
+ _FORCE_INLINE_ void set_all(const real_t p_value);
+
+ void set_axis(const int p_axis, const real_t p_value);
+ real_t get_axis(const int p_axis) const;
+
+ Vector4::Axis min_axis_index() const;
+ Vector4::Axis max_axis_index() const;
+
+ _FORCE_INLINE_ real_t length_squared() const;
+ bool is_equal_approx(const Vector4 &p_vec4) const;
+ real_t length() const;
+ void normalize();
+ Vector4 normalized() const;
+ bool is_normalized() const;
+
+ real_t distance_to(const Vector4 &p_to) const;
+ Vector4 direction_to(const Vector4 &p_to) const;
+
+ Vector4 abs() const;
+ Vector4 sign() const;
+ Vector4 floor() const;
+ Vector4 ceil() const;
+ Vector4 round() const;
+ Vector4 lerp(const Vector4 &p_to, const real_t p_weight) const;
+ Vector4 cubic_interpolate(const Vector4 &p_b, const Vector4 &p_pre_a, const Vector4 &p_post_b, const real_t p_weight) const;
+
+ Vector4 posmod(const real_t p_mod) const;
+ Vector4 posmodv(const Vector4 &p_modv) const;
+ void snap(const Vector4 &p_step);
+ Vector4 snapped(const Vector4 &p_step) const;
+ Vector4 clamp(const Vector4 &p_min, const Vector4 &p_max) const;
+
+ Vector4 inverse() const;
+ _FORCE_INLINE_ real_t dot(const Vector4 &p_vec4) const;
+
+ _FORCE_INLINE_ void operator+=(const Vector4 &p_vec4);
+ _FORCE_INLINE_ void operator-=(const Vector4 &p_vec4);
+ _FORCE_INLINE_ void operator*=(const Vector4 &p_vec4);
+ _FORCE_INLINE_ void operator/=(const Vector4 &p_vec4);
+ _FORCE_INLINE_ void operator*=(const real_t &s);
+ _FORCE_INLINE_ void operator/=(const real_t &s);
+ _FORCE_INLINE_ Vector4 operator+(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ Vector4 operator-(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ Vector4 operator*(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ Vector4 operator/(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ Vector4 operator-() const;
+ _FORCE_INLINE_ Vector4 operator*(const real_t &s) const;
+ _FORCE_INLINE_ Vector4 operator/(const real_t &s) const;
+
+ _FORCE_INLINE_ bool operator==(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ bool operator!=(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ bool operator>(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ bool operator<(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ bool operator>=(const Vector4 &p_vec4) const;
+ _FORCE_INLINE_ bool operator<=(const Vector4 &p_vec4) const;
+
+ operator String() const;
+
+ _FORCE_INLINE_ Vector4() {}
+
+ _FORCE_INLINE_ Vector4(real_t p_x, real_t p_y, real_t p_z, real_t p_w) :
+ x(p_x),
+ y(p_y),
+ z(p_z),
+ w(p_w) {
+ }
+
+ Vector4(const Vector4 &p_vec4) :
+ x(p_vec4.x),
+ y(p_vec4.y),
+ z(p_vec4.z),
+ w(p_vec4.w) {
+ }
+
+ void operator=(const Vector4 &p_vec4) {
+ x = p_vec4.x;
+ y = p_vec4.y;
+ z = p_vec4.z;
+ w = p_vec4.w;
+ }
+};
+
+void Vector4::set_all(const real_t p_value) {
+ x = y = z = p_value;
+}
+
+real_t Vector4::dot(const Vector4 &p_vec4) const {
+ return x * p_vec4.x + y * p_vec4.y + z * p_vec4.z + w * p_vec4.w;
+}
+
+real_t Vector4::length_squared() const {
+ return dot(*this);
+}
+
+void Vector4::operator+=(const Vector4 &p_vec4) {
+ x += p_vec4.x;
+ y += p_vec4.y;
+ z += p_vec4.z;
+ w += p_vec4.w;
+}
+
+void Vector4::operator-=(const Vector4 &p_vec4) {
+ x -= p_vec4.x;
+ y -= p_vec4.y;
+ z -= p_vec4.z;
+ w -= p_vec4.w;
+}
+
+void Vector4::operator*=(const Vector4 &p_vec4) {
+ x *= p_vec4.x;
+ y *= p_vec4.y;
+ z *= p_vec4.z;
+ w *= p_vec4.w;
+}
+
+void Vector4::operator/=(const Vector4 &p_vec4) {
+ x /= p_vec4.x;
+ y /= p_vec4.y;
+ z /= p_vec4.z;
+ w /= p_vec4.w;
+}
+void Vector4::operator*=(const real_t &s) {
+ x *= s;
+ y *= s;
+ z *= s;
+ w *= s;
+}
+
+void Vector4::operator/=(const real_t &s) {
+ *this *= 1.0f / s;
+}
+
+Vector4 Vector4::operator+(const Vector4 &p_vec4) const {
+ return Vector4(x + p_vec4.x, y + p_vec4.y, z + p_vec4.z, w + p_vec4.w);
+}
+
+Vector4 Vector4::operator-(const Vector4 &p_vec4) const {
+ return Vector4(x - p_vec4.x, y - p_vec4.y, z - p_vec4.z, w - p_vec4.w);
+}
+
+Vector4 Vector4::operator*(const Vector4 &p_vec4) const {
+ return Vector4(x * p_vec4.x, y * p_vec4.y, z * p_vec4.z, w * p_vec4.w);
+}
+
+Vector4 Vector4::operator/(const Vector4 &p_vec4) const {
+ return Vector4(x / p_vec4.x, y / p_vec4.y, z / p_vec4.z, w / p_vec4.w);
+}
+
+Vector4 Vector4::operator-() const {
+ return Vector4(-x, -y, -z, -w);
+}
+
+Vector4 Vector4::operator*(const real_t &s) const {
+ return Vector4(x * s, y * s, z * s, w * s);
+}
+
+Vector4 Vector4::operator/(const real_t &s) const {
+ return *this * (1.0f / s);
+}
+
+bool Vector4::operator==(const Vector4 &p_vec4) const {
+ return x == p_vec4.x && y == p_vec4.y && z == p_vec4.z && w == p_vec4.w;
+}
+
+bool Vector4::operator!=(const Vector4 &p_vec4) const {
+ return x != p_vec4.x || y != p_vec4.y || z != p_vec4.z || w != p_vec4.w;
+}
+
+bool Vector4::operator<(const Vector4 &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w < p_v.w;
+ }
+ return z < p_v.z;
+ }
+ return y < p_v.y;
+ }
+ return x < p_v.x;
+}
+
+bool Vector4::operator>(const Vector4 &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w > p_v.w;
+ }
+ return z > p_v.z;
+ }
+ return y > p_v.y;
+ }
+ return x > p_v.x;
+}
+
+bool Vector4::operator<=(const Vector4 &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w <= p_v.w;
+ }
+ return z < p_v.z;
+ }
+ return y < p_v.y;
+ }
+ return x < p_v.x;
+}
+
+bool Vector4::operator>=(const Vector4 &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w >= p_v.w;
+ }
+ return z > p_v.z;
+ }
+ return y > p_v.y;
+ }
+ return x > p_v.x;
+}
+
+_FORCE_INLINE_ Vector4 operator*(const float p_scalar, const Vector4 &p_vec) {
+ return p_vec * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4 operator*(const double p_scalar, const Vector4 &p_vec) {
+ return p_vec * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4 operator*(const int32_t p_scalar, const Vector4 &p_vec) {
+ return p_vec * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4 operator*(const int64_t p_scalar, const Vector4 &p_vec) {
+ return p_vec * p_scalar;
+}
+
+#endif // VECTOR4_H
diff --git a/core/math/vector4i.cpp b/core/math/vector4i.cpp
new file mode 100644
index 0000000000..2dc5b74202
--- /dev/null
+++ b/core/math/vector4i.cpp
@@ -0,0 +1,91 @@
+/*************************************************************************/
+/* vector4i.cpp */
+/*************************************************************************/
+/* This file is part of: */
+/* GODOT ENGINE */
+/* https://godotengine.org */
+/*************************************************************************/
+/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
+/* Copyright (c) 2014-2022 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 "vector4i.h"
+
+#include "core/math/vector4.h"
+#include "core/string/ustring.h"
+
+void Vector4i::set_axis(const int p_axis, const int32_t p_value) {
+ ERR_FAIL_INDEX(p_axis, 4);
+ coord[p_axis] = p_value;
+}
+
+int32_t Vector4i::get_axis(const int p_axis) const {
+ ERR_FAIL_INDEX_V(p_axis, 4, 0);
+ return operator[](p_axis);
+}
+
+Vector4i::Axis Vector4i::min_axis_index() const {
+ uint32_t min_index = 0;
+ int32_t min_value = x;
+ for (uint32_t i = 1; i < 4; i++) {
+ if (operator[](i) <= min_value) {
+ min_index = i;
+ min_value = operator[](i);
+ }
+ }
+ return Vector4i::Axis(min_index);
+}
+
+Vector4i::Axis Vector4i::max_axis_index() const {
+ uint32_t max_index = 0;
+ int32_t max_value = x;
+ for (uint32_t i = 1; i < 4; i++) {
+ if (operator[](i) > max_value) {
+ max_index = i;
+ max_value = operator[](i);
+ }
+ }
+ return Vector4i::Axis(max_index);
+}
+
+Vector4i Vector4i::clamp(const Vector4i &p_min, const Vector4i &p_max) const {
+ return Vector4i(
+ CLAMP(x, p_min.x, p_max.x),
+ CLAMP(y, p_min.y, p_max.y),
+ CLAMP(z, p_min.z, p_max.z),
+ CLAMP(w, p_min.w, p_max.w));
+}
+
+Vector4i::operator String() const {
+ return "(" + itos(x) + ", " + itos(y) + ", " + itos(z) + ", " + itos(w) + ")";
+}
+
+Vector4i::operator Vector4() const {
+ return Vector4(x, y, z, w);
+}
+
+Vector4i::Vector4i(const Vector4 &p_vec4) {
+ x = p_vec4.x;
+ y = p_vec4.y;
+ z = p_vec4.z;
+ w = p_vec4.w;
+}
diff --git a/core/math/vector4i.h b/core/math/vector4i.h
new file mode 100644
index 0000000000..37d905878f
--- /dev/null
+++ b/core/math/vector4i.h
@@ -0,0 +1,338 @@
+/*************************************************************************/
+/* vector4i.h */
+/*************************************************************************/
+/* This file is part of: */
+/* GODOT ENGINE */
+/* https://godotengine.org */
+/*************************************************************************/
+/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
+/* Copyright (c) 2014-2022 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 VECTOR4I_H
+#define VECTOR4I_H
+
+#include "core/error/error_macros.h"
+#include "core/math/math_funcs.h"
+
+class String;
+struct Vector4;
+
+struct _NO_DISCARD_ Vector4i {
+ enum Axis {
+ AXIS_X,
+ AXIS_Y,
+ AXIS_Z,
+ AXIS_W,
+ };
+
+ union {
+ struct {
+ int32_t x;
+ int32_t y;
+ int32_t z;
+ int32_t w;
+ };
+
+ int32_t coord[4] = { 0 };
+ };
+
+ _FORCE_INLINE_ const int32_t &operator[](const int p_axis) const {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return coord[p_axis];
+ }
+
+ _FORCE_INLINE_ int32_t &operator[](const int p_axis) {
+ DEV_ASSERT((unsigned int)p_axis < 4);
+ return coord[p_axis];
+ }
+
+ void set_axis(const int p_axis, const int32_t p_value);
+ int32_t get_axis(const int p_axis) const;
+
+ Vector4i::Axis min_axis_index() const;
+ Vector4i::Axis max_axis_index() const;
+
+ _FORCE_INLINE_ int64_t length_squared() const;
+ _FORCE_INLINE_ double length() const;
+
+ _FORCE_INLINE_ void zero();
+
+ _FORCE_INLINE_ Vector4i abs() const;
+ _FORCE_INLINE_ Vector4i sign() const;
+ Vector4i clamp(const Vector4i &p_min, const Vector4i &p_max) const;
+
+ /* Operators */
+
+ _FORCE_INLINE_ Vector4i &operator+=(const Vector4i &p_v);
+ _FORCE_INLINE_ Vector4i operator+(const Vector4i &p_v) const;
+ _FORCE_INLINE_ Vector4i &operator-=(const Vector4i &p_v);
+ _FORCE_INLINE_ Vector4i operator-(const Vector4i &p_v) const;
+ _FORCE_INLINE_ Vector4i &operator*=(const Vector4i &p_v);
+ _FORCE_INLINE_ Vector4i operator*(const Vector4i &p_v) const;
+ _FORCE_INLINE_ Vector4i &operator/=(const Vector4i &p_v);
+ _FORCE_INLINE_ Vector4i operator/(const Vector4i &p_v) const;
+ _FORCE_INLINE_ Vector4i &operator%=(const Vector4i &p_v);
+ _FORCE_INLINE_ Vector4i operator%(const Vector4i &p_v) const;
+
+ _FORCE_INLINE_ Vector4i &operator*=(const int32_t p_scalar);
+ _FORCE_INLINE_ Vector4i operator*(const int32_t p_scalar) const;
+ _FORCE_INLINE_ Vector4i &operator/=(const int32_t p_scalar);
+ _FORCE_INLINE_ Vector4i operator/(const int32_t p_scalar) const;
+ _FORCE_INLINE_ Vector4i &operator%=(const int32_t p_scalar);
+ _FORCE_INLINE_ Vector4i operator%(const int32_t p_scalar) const;
+
+ _FORCE_INLINE_ Vector4i operator-() const;
+
+ _FORCE_INLINE_ bool operator==(const Vector4i &p_v) const;
+ _FORCE_INLINE_ bool operator!=(const Vector4i &p_v) const;
+ _FORCE_INLINE_ bool operator<(const Vector4i &p_v) const;
+ _FORCE_INLINE_ bool operator<=(const Vector4i &p_v) const;
+ _FORCE_INLINE_ bool operator>(const Vector4i &p_v) const;
+ _FORCE_INLINE_ bool operator>=(const Vector4i &p_v) const;
+
+ operator String() const;
+ operator Vector4() const;
+
+ _FORCE_INLINE_ Vector4i() {}
+ Vector4i(const Vector4 &p_vec4);
+ _FORCE_INLINE_ Vector4i(const int32_t p_x, const int32_t p_y, const int32_t p_z, const int32_t p_w) {
+ x = p_x;
+ y = p_y;
+ z = p_z;
+ w = p_w;
+ }
+};
+
+int64_t Vector4i::length_squared() const {
+ return x * (int64_t)x + y * (int64_t)y + z * (int64_t)z + w * (int64_t)w;
+}
+
+double Vector4i::length() const {
+ return Math::sqrt((double)length_squared());
+}
+
+Vector4i Vector4i::abs() const {
+ return Vector4i(ABS(x), ABS(y), ABS(z), ABS(w));
+}
+
+Vector4i Vector4i::sign() const {
+ return Vector4i(SIGN(x), SIGN(y), SIGN(z), SIGN(w));
+}
+
+/* Operators */
+
+Vector4i &Vector4i::operator+=(const Vector4i &p_v) {
+ x += p_v.x;
+ y += p_v.y;
+ z += p_v.z;
+ w += p_v.w;
+ return *this;
+}
+
+Vector4i Vector4i::operator+(const Vector4i &p_v) const {
+ return Vector4i(x + p_v.x, y + p_v.y, z + p_v.z, w + p_v.w);
+}
+
+Vector4i &Vector4i::operator-=(const Vector4i &p_v) {
+ x -= p_v.x;
+ y -= p_v.y;
+ z -= p_v.z;
+ w -= p_v.w;
+ return *this;
+}
+
+Vector4i Vector4i::operator-(const Vector4i &p_v) const {
+ return Vector4i(x - p_v.x, y - p_v.y, z - p_v.z, w - p_v.w);
+}
+
+Vector4i &Vector4i::operator*=(const Vector4i &p_v) {
+ x *= p_v.x;
+ y *= p_v.y;
+ z *= p_v.z;
+ w *= p_v.w;
+ return *this;
+}
+
+Vector4i Vector4i::operator*(const Vector4i &p_v) const {
+ return Vector4i(x * p_v.x, y * p_v.y, z * p_v.z, w * p_v.w);
+}
+
+Vector4i &Vector4i::operator/=(const Vector4i &p_v) {
+ x /= p_v.x;
+ y /= p_v.y;
+ z /= p_v.z;
+ w /= p_v.w;
+ return *this;
+}
+
+Vector4i Vector4i::operator/(const Vector4i &p_v) const {
+ return Vector4i(x / p_v.x, y / p_v.y, z / p_v.z, w / p_v.w);
+}
+
+Vector4i &Vector4i::operator%=(const Vector4i &p_v) {
+ x %= p_v.x;
+ y %= p_v.y;
+ z %= p_v.z;
+ w %= p_v.w;
+ return *this;
+}
+
+Vector4i Vector4i::operator%(const Vector4i &p_v) const {
+ return Vector4i(x % p_v.x, y % p_v.y, z % p_v.z, w % p_v.w);
+}
+
+Vector4i &Vector4i::operator*=(const int32_t p_scalar) {
+ x *= p_scalar;
+ y *= p_scalar;
+ z *= p_scalar;
+ w *= p_scalar;
+ return *this;
+}
+
+Vector4i Vector4i::operator*(const int32_t p_scalar) const {
+ return Vector4i(x * p_scalar, y * p_scalar, z * p_scalar, w * p_scalar);
+}
+
+// Multiplication operators required to workaround issues with LLVM using implicit conversion.
+
+_FORCE_INLINE_ Vector4i operator*(const int32_t p_scalar, const Vector4i &p_vector) {
+ return p_vector * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4i operator*(const int64_t p_scalar, const Vector4i &p_vector) {
+ return p_vector * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4i operator*(const float p_scalar, const Vector4i &p_vector) {
+ return p_vector * p_scalar;
+}
+
+_FORCE_INLINE_ Vector4i operator*(const double p_scalar, const Vector4i &p_vector) {
+ return p_vector * p_scalar;
+}
+
+Vector4i &Vector4i::operator/=(const int32_t p_scalar) {
+ x /= p_scalar;
+ y /= p_scalar;
+ z /= p_scalar;
+ w /= p_scalar;
+ return *this;
+}
+
+Vector4i Vector4i::operator/(const int32_t p_scalar) const {
+ return Vector4i(x / p_scalar, y / p_scalar, z / p_scalar, w / p_scalar);
+}
+
+Vector4i &Vector4i::operator%=(const int32_t p_scalar) {
+ x %= p_scalar;
+ y %= p_scalar;
+ z %= p_scalar;
+ w %= p_scalar;
+ return *this;
+}
+
+Vector4i Vector4i::operator%(const int32_t p_scalar) const {
+ return Vector4i(x % p_scalar, y % p_scalar, z % p_scalar, w % p_scalar);
+}
+
+Vector4i Vector4i::operator-() const {
+ return Vector4i(-x, -y, -z, -w);
+}
+
+bool Vector4i::operator==(const Vector4i &p_v) const {
+ return (x == p_v.x && y == p_v.y && z == p_v.z && w == p_v.w);
+}
+
+bool Vector4i::operator!=(const Vector4i &p_v) const {
+ return (x != p_v.x || y != p_v.y || z != p_v.z || w != p_v.w);
+}
+
+bool Vector4i::operator<(const Vector4i &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w < p_v.w;
+ } else {
+ return z < p_v.z;
+ }
+ } else {
+ return y < p_v.y;
+ }
+ } else {
+ return x < p_v.x;
+ }
+}
+
+bool Vector4i::operator>(const Vector4i &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w > p_v.w;
+ } else {
+ return z > p_v.z;
+ }
+ } else {
+ return y > p_v.y;
+ }
+ } else {
+ return x > p_v.x;
+ }
+}
+
+bool Vector4i::operator<=(const Vector4i &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w <= p_v.w;
+ } else {
+ return z < p_v.z;
+ }
+ } else {
+ return y < p_v.y;
+ }
+ } else {
+ return x < p_v.x;
+ }
+}
+
+bool Vector4i::operator>=(const Vector4i &p_v) const {
+ if (x == p_v.x) {
+ if (y == p_v.y) {
+ if (z == p_v.z) {
+ return w >= p_v.w;
+ } else {
+ return z > p_v.z;
+ }
+ } else {
+ return y > p_v.y;
+ }
+ } else {
+ return x > p_v.x;
+ }
+}
+
+void Vector4i::zero() {
+ x = y = z = w = 0;
+}
+
+#endif // VECTOR4I_H