godot/core/math/a_star.cpp

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/*  a_star.cpp                                                           */
/*************************************************************************/
/*                       This file is part of:                           */
/*                           GODOT ENGINE                                */
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/* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur.                 */
/* Copyright (c) 2014-2021 Godot Engine contributors (cf. AUTHORS.md).   */
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#include "a_star.h"

#include "core/math/geometry_3d.h"
#include "core/object/script_language.h"
#include "scene/scene_string_names.h"

int AStar::get_available_point_id() const {
	if (points.is_empty()) {
		return 1;
	}

	// calculate our new next available point id if bigger than before or next id already contained in set of points.
	if (points.has(last_free_id)) {
		int cur_new_id = last_free_id;
		while (points.has(cur_new_id)) {
			cur_new_id++;
		}
		int &non_const = const_cast<int &>(last_free_id);
		non_const = cur_new_id;
	}

	return last_free_id;
}

void AStar::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) {
	ERR_FAIL_COND(p_id < 0);
	ERR_FAIL_COND(p_weight_scale < 1);

	Point *found_pt;
	bool p_exists = points.lookup(p_id, found_pt);

	if (!p_exists) {
		Point *pt = memnew(Point);
		pt->id = p_id;
		pt->pos = p_pos;
		pt->weight_scale = p_weight_scale;
		pt->prev_point = nullptr;
		pt->open_pass = 0;
		pt->closed_pass = 0;
		pt->enabled = true;
		points.set(p_id, pt);
	} else {
		found_pt->pos = p_pos;
		found_pt->weight_scale = p_weight_scale;
	}
}

Vector3 AStar::get_point_position(int p_id) const {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND_V(!p_exists, Vector3());

	return p->pos;
}

void AStar::set_point_position(int p_id, const Vector3 &p_pos) {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND(!p_exists);

	p->pos = p_pos;
}

real_t AStar::get_point_weight_scale(int p_id) const {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND_V(!p_exists, 0);

	return p->weight_scale;
}

void AStar::set_point_weight_scale(int p_id, real_t p_weight_scale) {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND(!p_exists);
	ERR_FAIL_COND(p_weight_scale < 1);

	p->weight_scale = p_weight_scale;
}

void AStar::remove_point(int p_id) {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND(!p_exists);

	for (OAHashMap<int, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
		Segment s(p_id, (*it.key));
		segments.erase(s);

		(*it.value)->neighbours.remove(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)) {
		Segment s(p_id, (*it.key));
		segments.erase(s);

		(*it.value)->neighbours.remove(p->id);
		(*it.value)->unlinked_neighbours.remove(p->id);
	}

	memdelete(p);
	points.remove(p_id);
	last_free_id = p_id;
}

void AStar::connect_points(int p_id, int p_with_id, bool bidirectional) {
	ERR_FAIL_COND(p_id == p_with_id);

	Point *a;
	bool from_exists = points.lookup(p_id, a);
	ERR_FAIL_COND(!from_exists);

	Point *b;
	bool to_exists = points.lookup(p_with_id, b);
	ERR_FAIL_COND(!to_exists);

	a->neighbours.set(b->id, b);

	if (bidirectional) {
		b->neighbours.set(a->id, a);
	} else {
		b->unlinked_neighbours.set(a->id, a);
	}

	Segment s(p_id, p_with_id);
	if (bidirectional) {
		s.direction = Segment::BIDIRECTIONAL;
	}

	Set<Segment>::Element *element = segments.find(s);
	if (element != nullptr) {
		s.direction |= element->get().direction;
		if (s.direction == Segment::BIDIRECTIONAL) {
			// Both are neighbours of each other now
			a->unlinked_neighbours.remove(b->id);
			b->unlinked_neighbours.remove(a->id);
		}
		segments.erase(element);
	}

	segments.insert(s);
}

void AStar::disconnect_points(int p_id, int p_with_id, bool bidirectional) {
	Point *a;
	bool a_exists = points.lookup(p_id, a);
	ERR_FAIL_COND(!a_exists);

	Point *b;
	bool b_exists = points.lookup(p_with_id, b);
	ERR_FAIL_COND(!b_exists);

	Segment s(p_id, p_with_id);
	int remove_direction = bidirectional ? (int)Segment::BIDIRECTIONAL : s.direction;

	Set<Segment>::Element *element = segments.find(s);
	if (element != nullptr) {
		// s is the new segment
		// Erase the directions to be removed
		s.direction = (element->get().direction & ~remove_direction);

		a->neighbours.remove(b->id);
		if (bidirectional) {
			b->neighbours.remove(a->id);
			if (element->get().direction != Segment::BIDIRECTIONAL) {
				a->unlinked_neighbours.remove(b->id);
				b->unlinked_neighbours.remove(a->id);
			}
		} else {
			if (s.direction == Segment::NONE) {
				b->unlinked_neighbours.remove(a->id);
			} else {
				a->unlinked_neighbours.set(b->id, b);
			}
		}

		segments.erase(element);
		if (s.direction != Segment::NONE) {
			segments.insert(s);
		}
	}
}

bool AStar::has_point(int p_id) const {
	return points.has(p_id);
}

Array AStar::get_points() {
	Array point_list;

	for (OAHashMap<int, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
		point_list.push_back(*(it.key));
	}

	return point_list;
}

Vector<int> AStar::get_point_connections(int p_id) {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND_V(!p_exists, Vector<int>());

	Vector<int> point_list;

	for (OAHashMap<int, Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
		point_list.push_back((*it.key));
	}

	return point_list;
}

bool AStar::are_points_connected(int p_id, int p_with_id, bool bidirectional) const {
	Segment s(p_id, p_with_id);
	const Set<Segment>::Element *element = segments.find(s);

	return element != nullptr &&
		   (bidirectional || (element->get().direction & s.direction) == s.direction);
}

void AStar::clear() {
	last_free_id = 0;
	for (OAHashMap<int, Point *>::Iterator it = points.iter(); it.valid; it = points.next_iter(it)) {
		memdelete(*(it.value));
	}
	segments.clear();
	points.clear();
}

int AStar::get_point_count() const {
	return points.get_num_elements();
}

int AStar::get_point_capacity() const {
	return points.get_capacity();
}

void AStar::reserve_space(int p_num_nodes) {
	ERR_FAIL_COND_MSG(p_num_nodes <= 0, "New capacity must be greater than 0, was: " + itos(p_num_nodes) + ".");
	ERR_FAIL_COND_MSG((uint32_t)p_num_nodes < points.get_capacity(), "New capacity must be greater than current capacity: " + itos(points.get_capacity()) + ", new was: " + itos(p_num_nodes) + ".");
	points.reserve(p_num_nodes);
}

int AStar::get_closest_point(const Vector3 &p_point, bool p_include_disabled) const {
	int closest_id = -1;
	real_t closest_dist = 1e20;

	for (OAHashMap<int, 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.
		}

		// 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);
		if (d <= closest_dist) {
			if (d == closest_dist && id > closest_id) { // Keep lowest ID.
				continue;
			}
			closest_dist = d;
			closest_id = id;
		}
	}

	return closest_id;
}

Vector3 AStar::get_closest_position_in_segment(const Vector3 &p_point) const {
	real_t closest_dist = 1e20;
	Vector3 closest_point;

	for (const Set<Segment>::Element *E = segments.front(); E; E = E->next()) {
		Point *from_point = nullptr, *to_point = nullptr;
		points.lookup(E->get().u, from_point);
		points.lookup(E->get().v, to_point);

		if (!(from_point->enabled && to_point->enabled)) {
			continue;
		}

		Vector3 segment[2] = {
			from_point->pos,
			to_point->pos,
		};

		Vector3 p = Geometry3D::get_closest_point_to_segment(p_point, segment);
		real_t d = p_point.distance_squared_to(p);
		if (d < closest_dist) {
			closest_point = p;
			closest_dist = d;
		}
	}

	return closest_point;
}

bool AStar::_solve(Point *begin_point, Point *end_point) {
	pass++;

	if (!end_point->enabled) {
		return false;
	}

	bool found_route = false;

	Vector<Point *> open_list;
	SortArray<Point *, SortPoints> sorter;

	begin_point->g_score = 0;
	begin_point->f_score = _estimate_cost(begin_point->id, end_point->id);
	open_list.push_back(begin_point);

	while (!open_list.is_empty()) {
		Point *p = open_list[0]; // The currently processed point

		if (p == end_point) {
			found_route = true;
			break;
		}

		sorter.pop_heap(0, open_list.size(), open_list.ptrw()); // Remove the current point from the open list
		open_list.remove(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)) {
			Point *e = *(it.value); // The neighbour point

			if (!e->enabled || e->closed_pass == pass) {
				continue;
			}

			real_t tentative_g_score = p->g_score + _compute_cost(p->id, e->id) * e->weight_scale;

			bool new_point = false;

			if (e->open_pass != pass) { // The point wasn't inside the open list.
				e->open_pass = pass;
				open_list.push_back(e);
				new_point = true;
			} else if (tentative_g_score >= e->g_score) { // The new path is worse than the previous.
				continue;
			}

			e->prev_point = p;
			e->g_score = tentative_g_score;
			e->f_score = e->g_score + _estimate_cost(e->id, end_point->id);

			if (new_point) { // The position of the new points is already known.
				sorter.push_heap(0, open_list.size() - 1, 0, e, open_list.ptrw());
			} else {
				sorter.push_heap(0, open_list.find(e), 0, e, open_list.ptrw());
			}
		}
	}

	return found_route;
}

real_t AStar::_estimate_cost(int p_from_id, int p_to_id) {
	if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_estimate_cost)) {
		return get_script_instance()->call(SceneStringNames::get_singleton()->_estimate_cost, p_from_id, p_to_id);
	}

	Point *from_point;
	bool from_exists = points.lookup(p_from_id, from_point);
	ERR_FAIL_COND_V(!from_exists, 0);

	Point *to_point;
	bool to_exists = points.lookup(p_to_id, to_point);
	ERR_FAIL_COND_V(!to_exists, 0);

	return from_point->pos.distance_to(to_point->pos);
}

real_t AStar::_compute_cost(int p_from_id, int p_to_id) {
	if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_compute_cost)) {
		return get_script_instance()->call(SceneStringNames::get_singleton()->_compute_cost, p_from_id, p_to_id);
	}

	Point *from_point;
	bool from_exists = points.lookup(p_from_id, from_point);
	ERR_FAIL_COND_V(!from_exists, 0);

	Point *to_point;
	bool to_exists = points.lookup(p_to_id, to_point);
	ERR_FAIL_COND_V(!to_exists, 0);

	return from_point->pos.distance_to(to_point->pos);
}

Vector<Vector3> AStar::get_point_path(int p_from_id, int p_to_id) {
	Point *a;
	bool from_exists = points.lookup(p_from_id, a);
	ERR_FAIL_COND_V(!from_exists, Vector<Vector3>());

	Point *b;
	bool to_exists = points.lookup(p_to_id, b);
	ERR_FAIL_COND_V(!to_exists, Vector<Vector3>());

	if (a == b) {
		Vector<Vector3> ret;
		ret.push_back(a->pos);
		return ret;
	}

	Point *begin_point = a;
	Point *end_point = b;

	bool found_route = _solve(begin_point, end_point);
	if (!found_route) {
		return Vector<Vector3>();
	}

	Point *p = end_point;
	int pc = 1; // Begin point
	while (p != begin_point) {
		pc++;
		p = p->prev_point;
	}

	Vector<Vector3> path;
	path.resize(pc);

	{
		Vector3 *w = path.ptrw();

		Point *p2 = end_point;
		int idx = pc - 1;
		while (p2 != begin_point) {
			w[idx--] = p2->pos;
			p2 = p2->prev_point;
		}

		w[0] = p2->pos; // Assign first
	}

	return path;
}

Vector<int> AStar::get_id_path(int p_from_id, int p_to_id) {
	Point *a;
	bool from_exists = points.lookup(p_from_id, a);
	ERR_FAIL_COND_V(!from_exists, Vector<int>());

	Point *b;
	bool to_exists = points.lookup(p_to_id, b);
	ERR_FAIL_COND_V(!to_exists, Vector<int>());

	if (a == b) {
		Vector<int> ret;
		ret.push_back(a->id);
		return ret;
	}

	Point *begin_point = a;
	Point *end_point = b;

	bool found_route = _solve(begin_point, end_point);
	if (!found_route) {
		return Vector<int>();
	}

	Point *p = end_point;
	int pc = 1; // Begin point
	while (p != begin_point) {
		pc++;
		p = p->prev_point;
	}

	Vector<int> path;
	path.resize(pc);

	{
		int *w = path.ptrw();

		p = end_point;
		int idx = pc - 1;
		while (p != begin_point) {
			w[idx--] = p->id;
			p = p->prev_point;
		}

		w[0] = p->id; // Assign first
	}

	return path;
}

void AStar::set_point_disabled(int p_id, bool p_disabled) {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND(!p_exists);

	p->enabled = !p_disabled;
}

bool AStar::is_point_disabled(int p_id) const {
	Point *p;
	bool p_exists = points.lookup(p_id, p);
	ERR_FAIL_COND_V(!p_exists, false);

	return !p->enabled;
}

void AStar::_bind_methods() {
	ClassDB::bind_method(D_METHOD("get_available_point_id"), &AStar::get_available_point_id);
	ClassDB::bind_method(D_METHOD("add_point", "id", "position", "weight_scale"), &AStar::add_point, DEFVAL(1.0));
	ClassDB::bind_method(D_METHOD("get_point_position", "id"), &AStar::get_point_position);
	ClassDB::bind_method(D_METHOD("set_point_position", "id", "position"), &AStar::set_point_position);
	ClassDB::bind_method(D_METHOD("get_point_weight_scale", "id"), &AStar::get_point_weight_scale);
	ClassDB::bind_method(D_METHOD("set_point_weight_scale", "id", "weight_scale"), &AStar::set_point_weight_scale);
	ClassDB::bind_method(D_METHOD("remove_point", "id"), &AStar::remove_point);
	ClassDB::bind_method(D_METHOD("has_point", "id"), &AStar::has_point);
	ClassDB::bind_method(D_METHOD("get_point_connections", "id"), &AStar::get_point_connections);
	ClassDB::bind_method(D_METHOD("get_points"), &AStar::get_points);

	ClassDB::bind_method(D_METHOD("set_point_disabled", "id", "disabled"), &AStar::set_point_disabled, DEFVAL(true));
	ClassDB::bind_method(D_METHOD("is_point_disabled", "id"), &AStar::is_point_disabled);

	ClassDB::bind_method(D_METHOD("connect_points", "id", "to_id", "bidirectional"), &AStar::connect_points, DEFVAL(true));
	ClassDB::bind_method(D_METHOD("disconnect_points", "id", "to_id", "bidirectional"), &AStar::disconnect_points, DEFVAL(true));
	ClassDB::bind_method(D_METHOD("are_points_connected", "id", "to_id", "bidirectional"), &AStar::are_points_connected, DEFVAL(true));

	ClassDB::bind_method(D_METHOD("get_point_count"), &AStar::get_point_count);
	ClassDB::bind_method(D_METHOD("get_point_capacity"), &AStar::get_point_capacity);
	ClassDB::bind_method(D_METHOD("reserve_space", "num_nodes"), &AStar::reserve_space);
	ClassDB::bind_method(D_METHOD("clear"), &AStar::clear);

	ClassDB::bind_method(D_METHOD("get_closest_point", "to_position", "include_disabled"), &AStar::get_closest_point, DEFVAL(false));
	ClassDB::bind_method(D_METHOD("get_closest_position_in_segment", "to_position"), &AStar::get_closest_position_in_segment);

	ClassDB::bind_method(D_METHOD("get_point_path", "from_id", "to_id"), &AStar::get_point_path);
	ClassDB::bind_method(D_METHOD("get_id_path", "from_id", "to_id"), &AStar::get_id_path);

	BIND_VMETHOD(MethodInfo(Variant::FLOAT, "_estimate_cost", PropertyInfo(Variant::INT, "from_id"), PropertyInfo(Variant::INT, "to_id")));
	BIND_VMETHOD(MethodInfo(Variant::FLOAT, "_compute_cost", PropertyInfo(Variant::INT, "from_id"), PropertyInfo(Variant::INT, "to_id")));
}

AStar::~AStar() {
	clear();
}

/////////////////////////////////////////////////////////////

int 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) {
	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 {
	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) {
	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 {
	return astar.get_point_weight_scale(p_id);
}

void AStar2D::set_point_weight_scale(int p_id, real_t p_weight_scale) {
	astar.set_point_weight_scale(p_id, p_weight_scale);
}

void AStar2D::remove_point(int p_id) {
	astar.remove_point(p_id);
}

bool AStar2D::has_point(int p_id) const {
	return astar.has_point(p_id);
}

Vector<int> AStar2D::get_point_connections(int p_id) {
	return astar.get_point_connections(p_id);
}

Array AStar2D::get_points() {
	return astar.get_points();
}

void AStar2D::set_point_disabled(int p_id, bool p_disabled) {
	astar.set_point_disabled(p_id, p_disabled);
}

bool AStar2D::is_point_disabled(int p_id) const {
	return astar.is_point_disabled(p_id);
}

void AStar2D::connect_points(int p_id, int 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);
}

bool AStar2D::are_points_connected(int p_id, int p_with_id) const {
	return astar.are_points_connected(p_id, p_with_id);
}

int AStar2D::get_point_count() const {
	return astar.get_point_count();
}

int AStar2D::get_point_capacity() const {
	return astar.get_point_capacity();
}

void AStar2D::clear() {
	astar.clear();
}

void AStar2D::reserve_space(int p_num_nodes) {
	astar.reserve_space(p_num_nodes);
}

int 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);
}

Vector2 AStar2D::get_closest_position_in_segment(const Vector2 &p_point) const {
	Vector3 p = astar.get_closest_position_in_segment(Vector3(p_point.x, p_point.y, 0));
	return Vector2(p.x, p.y);
}

real_t AStar2D::_estimate_cost(int p_from_id, int p_to_id) {
	if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_estimate_cost)) {
		return get_script_instance()->call(SceneStringNames::get_singleton()->_estimate_cost, p_from_id, p_to_id);
	}

	AStar::Point *from_point;
	bool from_exists = astar.points.lookup(p_from_id, from_point);
	ERR_FAIL_COND_V(!from_exists, 0);

	AStar::Point *to_point;
	bool to_exists = astar.points.lookup(p_to_id, to_point);
	ERR_FAIL_COND_V(!to_exists, 0);

	return from_point->pos.distance_to(to_point->pos);
}

real_t AStar2D::_compute_cost(int p_from_id, int p_to_id) {
	if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_compute_cost)) {
		return get_script_instance()->call(SceneStringNames::get_singleton()->_compute_cost, p_from_id, p_to_id);
	}

	AStar::Point *from_point;
	bool from_exists = astar.points.lookup(p_from_id, from_point);
	ERR_FAIL_COND_V(!from_exists, 0);

	AStar::Point *to_point;
	bool to_exists = astar.points.lookup(p_to_id, to_point);
	ERR_FAIL_COND_V(!to_exists, 0);

	return from_point->pos.distance_to(to_point->pos);
}

Vector<Vector2> AStar2D::get_point_path(int p_from_id, int p_to_id) {
	AStar::Point *a;
	bool from_exists = astar.points.lookup(p_from_id, a);
	ERR_FAIL_COND_V(!from_exists, Vector<Vector2>());

	AStar::Point *b;
	bool to_exists = astar.points.lookup(p_to_id, b);
	ERR_FAIL_COND_V(!to_exists, Vector<Vector2>());

	if (a == b) {
		Vector<Vector2> ret;
		ret.push_back(Vector2(a->pos.x, a->pos.y));
		return ret;
	}

	AStar::Point *begin_point = a;
	AStar::Point *end_point = b;

	bool found_route = _solve(begin_point, end_point);
	if (!found_route) {
		return Vector<Vector2>();
	}

	AStar::Point *p = end_point;
	int pc = 1; // Begin point
	while (p != begin_point) {
		pc++;
		p = p->prev_point;
	}

	Vector<Vector2> path;
	path.resize(pc);

	{
		Vector2 *w = path.ptrw();

		AStar::Point *p2 = end_point;
		int idx = pc - 1;
		while (p2 != begin_point) {
			w[idx--] = Vector2(p2->pos.x, p2->pos.y);
			p2 = p2->prev_point;
		}

		w[0] = Vector2(p2->pos.x, p2->pos.y); // Assign first
	}

	return path;
}

Vector<int> AStar2D::get_id_path(int p_from_id, int p_to_id) {
	AStar::Point *a;
	bool from_exists = astar.points.lookup(p_from_id, a);
	ERR_FAIL_COND_V(!from_exists, Vector<int>());

	AStar::Point *b;
	bool to_exists = astar.points.lookup(p_to_id, b);
	ERR_FAIL_COND_V(!to_exists, Vector<int>());

	if (a == b) {
		Vector<int> ret;
		ret.push_back(a->id);
		return ret;
	}

	AStar::Point *begin_point = a;
	AStar::Point *end_point = b;

	bool found_route = _solve(begin_point, end_point);
	if (!found_route) {
		return Vector<int>();
	}

	AStar::Point *p = end_point;
	int pc = 1; // Begin point
	while (p != begin_point) {
		pc++;
		p = p->prev_point;
	}

	Vector<int> path;
	path.resize(pc);

	{
		int *w = path.ptrw();

		p = end_point;
		int idx = pc - 1;
		while (p != begin_point) {
			w[idx--] = p->id;
			p = p->prev_point;
		}

		w[0] = p->id; // Assign first
	}

	return path;
}

bool AStar2D::_solve(AStar::Point *begin_point, AStar::Point *end_point) {
	astar.pass++;

	if (!end_point->enabled) {
		return false;
	}

	bool found_route = false;

	Vector<AStar::Point *> open_list;
	SortArray<AStar::Point *, AStar::SortPoints> sorter;

	begin_point->g_score = 0;
	begin_point->f_score = _estimate_cost(begin_point->id, end_point->id);
	open_list.push_back(begin_point);

	while (!open_list.is_empty()) {
		AStar::Point *p = open_list[0]; // The currently processed point

		if (p == end_point) {
			found_route = true;
			break;
		}

		sorter.pop_heap(0, open_list.size(), open_list.ptrw()); // Remove the current point from the open list
		open_list.remove(open_list.size() - 1);
		p->closed_pass = astar.pass; // Mark the point as closed

		for (OAHashMap<int, AStar::Point *>::Iterator it = p->neighbours.iter(); it.valid; it = p->neighbours.next_iter(it)) {
			AStar::Point *e = *(it.value); // The neighbour point

			if (!e->enabled || e->closed_pass == astar.pass) {
				continue;
			}

			real_t tentative_g_score = p->g_score + _compute_cost(p->id, e->id) * e->weight_scale;

			bool new_point = false;

			if (e->open_pass != astar.pass) { // The point wasn't inside the open list.
				e->open_pass = astar.pass;
				open_list.push_back(e);
				new_point = true;
			} else if (tentative_g_score >= e->g_score) { // The new path is worse than the previous.
				continue;
			}

			e->prev_point = p;
			e->g_score = tentative_g_score;
			e->f_score = e->g_score + _estimate_cost(e->id, end_point->id);

			if (new_point) { // The position of the new points is already known.
				sorter.push_heap(0, open_list.size() - 1, 0, e, open_list.ptrw());
			} else {
				sorter.push_heap(0, open_list.find(e), 0, e, open_list.ptrw());
			}
		}
	}

	return found_route;
}

void AStar2D::_bind_methods() {
	ClassDB::bind_method(D_METHOD("get_available_point_id"), &AStar2D::get_available_point_id);
	ClassDB::bind_method(D_METHOD("add_point", "id", "position", "weight_scale"), &AStar2D::add_point, DEFVAL(1.0));
	ClassDB::bind_method(D_METHOD("get_point_position", "id"), &AStar2D::get_point_position);
	ClassDB::bind_method(D_METHOD("set_point_position", "id", "position"), &AStar2D::set_point_position);
	ClassDB::bind_method(D_METHOD("get_point_weight_scale", "id"), &AStar2D::get_point_weight_scale);
	ClassDB::bind_method(D_METHOD("set_point_weight_scale", "id", "weight_scale"), &AStar2D::set_point_weight_scale);
	ClassDB::bind_method(D_METHOD("remove_point", "id"), &AStar2D::remove_point);
	ClassDB::bind_method(D_METHOD("has_point", "id"), &AStar2D::has_point);
	ClassDB::bind_method(D_METHOD("get_point_connections", "id"), &AStar2D::get_point_connections);
	ClassDB::bind_method(D_METHOD("get_points"), &AStar2D::get_points);

	ClassDB::bind_method(D_METHOD("set_point_disabled", "id", "disabled"), &AStar2D::set_point_disabled, DEFVAL(true));
	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("get_point_count"), &AStar2D::get_point_count);
	ClassDB::bind_method(D_METHOD("get_point_capacity"), &AStar2D::get_point_capacity);
	ClassDB::bind_method(D_METHOD("reserve_space", "num_nodes"), &AStar2D::reserve_space);
	ClassDB::bind_method(D_METHOD("clear"), &AStar2D::clear);

	ClassDB::bind_method(D_METHOD("get_closest_point", "to_position", "include_disabled"), &AStar2D::get_closest_point, DEFVAL(false));
	ClassDB::bind_method(D_METHOD("get_closest_position_in_segment", "to_position"), &AStar2D::get_closest_position_in_segment);

	ClassDB::bind_method(D_METHOD("get_point_path", "from_id", "to_id"), &AStar2D::get_point_path);
	ClassDB::bind_method(D_METHOD("get_id_path", "from_id", "to_id"), &AStar2D::get_id_path);

	BIND_VMETHOD(MethodInfo(Variant::FLOAT, "_estimate_cost", PropertyInfo(Variant::INT, "from_id"), PropertyInfo(Variant::INT, "to_id")));
	BIND_VMETHOD(MethodInfo(Variant::FLOAT, "_compute_cost", PropertyInfo(Variant::INT, "from_id"), PropertyInfo(Variant::INT, "to_id")));
}