virtualx-engine/servers/physics/shape_sw.cpp

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/*  shape_sw.cpp                                                         */
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#include "shape_sw.h"

#include "core/image.h"
#include "core/math/geometry.h"
#include "core/math/quick_hull.h"
#include "core/sort_array.h"

// HeightMapShapeSW is based on Bullet btHeightfieldTerrainShape.

/*
Bullet Continuous Collision Detection and Physics Library
Copyright (c) 2003-2009 Erwin Coumans  http://bulletphysics.org

This software is provided 'as-is', without any express or implied warranty.
In no event will the authors be held liable for any damages arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it freely,
subject to the following restrictions:

1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/

#define _EDGE_IS_VALID_SUPPORT_THRESHOLD 0.0002
#define _FACE_IS_VALID_SUPPORT_THRESHOLD 0.9998

#define _CYLINDER_EDGE_IS_VALID_SUPPORT_THRESHOLD 0.002
#define _CYLINDER_FACE_IS_VALID_SUPPORT_THRESHOLD 0.999

void ShapeSW::configure(const AABB &p_aabb) {
	aabb = p_aabb;
	configured = true;
	for (Map<ShapeOwnerSW *, int>::Element *E = owners.front(); E; E = E->next()) {
		ShapeOwnerSW *co = (ShapeOwnerSW *)E->key();
		co->_shape_changed();
	}
}

Vector3 ShapeSW::get_support(const Vector3 &p_normal) const {

	Vector3 res;
	int amnt;
	FeatureType type;
	get_supports(p_normal, 1, &res, amnt, type);
	return res;
}

void ShapeSW::add_owner(ShapeOwnerSW *p_owner) {

	Map<ShapeOwnerSW *, int>::Element *E = owners.find(p_owner);
	if (E) {
		E->get()++;
	} else {
		owners[p_owner] = 1;
	}
}

void ShapeSW::remove_owner(ShapeOwnerSW *p_owner) {

	Map<ShapeOwnerSW *, int>::Element *E = owners.find(p_owner);
	ERR_FAIL_COND(!E);
	E->get()--;
	if (E->get() == 0) {
		owners.erase(E);
	}
}

bool ShapeSW::is_owner(ShapeOwnerSW *p_owner) const {

	return owners.has(p_owner);
}

const Map<ShapeOwnerSW *, int> &ShapeSW::get_owners() const {
	return owners;
}

ShapeSW::ShapeSW() {

	custom_bias = 0;
	configured = false;
}

ShapeSW::~ShapeSW() {

	ERR_FAIL_COND(owners.size());
}

Plane PlaneShapeSW::get_plane() const {

	return plane;
}

void PlaneShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	// gibberish, a plane is infinity
	r_min = -1e7;
	r_max = 1e7;
}

Vector3 PlaneShapeSW::get_support(const Vector3 &p_normal) const {

	return p_normal * 1e15;
}

bool PlaneShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	bool inters = plane.intersects_segment(p_begin, p_end, &r_result);
	if (inters)
		r_normal = plane.normal;
	return inters;
}

bool PlaneShapeSW::intersect_point(const Vector3 &p_point) const {

	return plane.distance_to(p_point) < 0;
}

Vector3 PlaneShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	if (plane.is_point_over(p_point)) {
		return plane.project(p_point);
	} else {
		return p_point;
	}
}

Vector3 PlaneShapeSW::get_moment_of_inertia(real_t p_mass) const {

	return Vector3(); //wtf
}

void PlaneShapeSW::_setup(const Plane &p_plane) {

	plane = p_plane;
	configure(AABB(Vector3(-1e4, -1e4, -1e4), Vector3(1e4 * 2, 1e4 * 2, 1e4 * 2)));
}

void PlaneShapeSW::set_data(const Variant &p_data) {

	_setup(p_data);
}

Variant PlaneShapeSW::get_data() const {

	return plane;
}

PlaneShapeSW::PlaneShapeSW() {
}

//

real_t RayShapeSW::get_length() const {

	return length;
}

bool RayShapeSW::get_slips_on_slope() const {
	return slips_on_slope;
}

void RayShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	// don't think this will be even used
	r_min = 0;
	r_max = 1;
}

Vector3 RayShapeSW::get_support(const Vector3 &p_normal) const {

	if (p_normal.z > 0)
		return Vector3(0, 0, length);
	else
		return Vector3(0, 0, 0);
}

void RayShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	if (Math::abs(p_normal.z) < _EDGE_IS_VALID_SUPPORT_THRESHOLD) {

		r_amount = 2;
		r_type = FEATURE_EDGE;
		r_supports[0] = Vector3(0, 0, 0);
		r_supports[1] = Vector3(0, 0, length);
	} else if (p_normal.z > 0) {
		r_amount = 1;
		r_type = FEATURE_POINT;
		*r_supports = Vector3(0, 0, length);
	} else {
		r_amount = 1;
		r_type = FEATURE_POINT;
		*r_supports = Vector3(0, 0, 0);
	}
}

bool RayShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	return false; //simply not possible
}

bool RayShapeSW::intersect_point(const Vector3 &p_point) const {

	return false; //simply not possible
}

Vector3 RayShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	Vector3 s[2] = {
		Vector3(0, 0, 0),
		Vector3(0, 0, length)
	};

	return Geometry::get_closest_point_to_segment(p_point, s);
}

Vector3 RayShapeSW::get_moment_of_inertia(real_t p_mass) const {

	return Vector3();
}

void RayShapeSW::_setup(real_t p_length, bool p_slips_on_slope) {

	length = p_length;
	slips_on_slope = p_slips_on_slope;
	configure(AABB(Vector3(0, 0, 0), Vector3(0.1, 0.1, length)));
}

void RayShapeSW::set_data(const Variant &p_data) {

	Dictionary d = p_data;
	_setup(d["length"], d["slips_on_slope"]);
}

Variant RayShapeSW::get_data() const {

	Dictionary d;
	d["length"] = length;
	d["slips_on_slope"] = slips_on_slope;
	return d;
}

RayShapeSW::RayShapeSW() {

	length = 1;
	slips_on_slope = false;
}

/********** SPHERE *************/

real_t SphereShapeSW::get_radius() const {

	return radius;
}

void SphereShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	real_t d = p_normal.dot(p_transform.origin);

	// figure out scale at point
	Vector3 local_normal = p_transform.basis.xform_inv(p_normal);
	real_t scale = local_normal.length();

	r_min = d - (radius)*scale;
	r_max = d + (radius)*scale;
}

Vector3 SphereShapeSW::get_support(const Vector3 &p_normal) const {

	return p_normal * radius;
}

void SphereShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	*r_supports = p_normal * radius;
	r_amount = 1;
	r_type = FEATURE_POINT;
}

bool SphereShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	return Geometry::segment_intersects_sphere(p_begin, p_end, Vector3(), radius, &r_result, &r_normal);
}

bool SphereShapeSW::intersect_point(const Vector3 &p_point) const {

	return p_point.length() < radius;
}

Vector3 SphereShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	Vector3 p = p_point;
	float l = p.length();
	if (l < radius)
		return p_point;
	return (p / l) * radius;
}

Vector3 SphereShapeSW::get_moment_of_inertia(real_t p_mass) const {

	real_t s = 0.4 * p_mass * radius * radius;
	return Vector3(s, s, s);
}

void SphereShapeSW::_setup(real_t p_radius) {

	radius = p_radius;
	configure(AABB(Vector3(-radius, -radius, -radius), Vector3(radius * 2.0, radius * 2.0, radius * 2.0)));
}

void SphereShapeSW::set_data(const Variant &p_data) {

	_setup(p_data);
}

Variant SphereShapeSW::get_data() const {

	return radius;
}

SphereShapeSW::SphereShapeSW() {

	radius = 0;
}

/********** BOX *************/

void BoxShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	// no matter the angle, the box is mirrored anyway
	Vector3 local_normal = p_transform.basis.xform_inv(p_normal);

	real_t length = local_normal.abs().dot(half_extents);
	real_t distance = p_normal.dot(p_transform.origin);

	r_min = distance - length;
	r_max = distance + length;
}

Vector3 BoxShapeSW::get_support(const Vector3 &p_normal) const {

	Vector3 point(
			(p_normal.x < 0) ? -half_extents.x : half_extents.x,
			(p_normal.y < 0) ? -half_extents.y : half_extents.y,
			(p_normal.z < 0) ? -half_extents.z : half_extents.z);

	return point;
}

void BoxShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	static const int next[3] = { 1, 2, 0 };
	static const int next2[3] = { 2, 0, 1 };

	for (int i = 0; i < 3; i++) {

		Vector3 axis;
		axis[i] = 1.0;
		real_t dot = p_normal.dot(axis);
		if (Math::abs(dot) > _FACE_IS_VALID_SUPPORT_THRESHOLD) {

			//Vector3 axis_b;

			bool neg = dot < 0;
			r_amount = 4;
			r_type = FEATURE_FACE;

			Vector3 point;
			point[i] = half_extents[i];

			int i_n = next[i];
			int i_n2 = next2[i];

			static const real_t sign[4][2] = {

				{ -1.0, 1.0 },
				{ 1.0, 1.0 },
				{ 1.0, -1.0 },
				{ -1.0, -1.0 },
			};

			for (int j = 0; j < 4; j++) {

				point[i_n] = sign[j][0] * half_extents[i_n];
				point[i_n2] = sign[j][1] * half_extents[i_n2];
				r_supports[j] = neg ? -point : point;
			}

			if (neg) {
				SWAP(r_supports[1], r_supports[2]);
				SWAP(r_supports[0], r_supports[3]);
			}

			return;
		}

		r_amount = 0;
	}

	for (int i = 0; i < 3; i++) {

		Vector3 axis;
		axis[i] = 1.0;

		if (Math::abs(p_normal.dot(axis)) < _EDGE_IS_VALID_SUPPORT_THRESHOLD) {

			r_amount = 2;
			r_type = FEATURE_EDGE;

			int i_n = next[i];
			int i_n2 = next2[i];

			Vector3 point = half_extents;

			if (p_normal[i_n] < 0) {
				point[i_n] = -point[i_n];
			}
			if (p_normal[i_n2] < 0) {
				point[i_n2] = -point[i_n2];
			}

			r_supports[0] = point;
			point[i] = -point[i];
			r_supports[1] = point;
			return;
		}
	}
	/* USE POINT */

	Vector3 point(
			(p_normal.x < 0) ? -half_extents.x : half_extents.x,
			(p_normal.y < 0) ? -half_extents.y : half_extents.y,
			(p_normal.z < 0) ? -half_extents.z : half_extents.z);

	r_amount = 1;
	r_type = FEATURE_POINT;
	r_supports[0] = point;
}

bool BoxShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	AABB aabb(-half_extents, half_extents * 2.0);

	return aabb.intersects_segment(p_begin, p_end, &r_result, &r_normal);
}

bool BoxShapeSW::intersect_point(const Vector3 &p_point) const {

	return (Math::abs(p_point.x) < half_extents.x && Math::abs(p_point.y) < half_extents.y && Math::abs(p_point.z) < half_extents.z);
}

Vector3 BoxShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	int outside = 0;
	Vector3 min_point;

	for (int i = 0; i < 3; i++) {

		if (Math::abs(p_point[i]) > half_extents[i]) {
			outside++;
			if (outside == 1) {
				//use plane if only one side matches
				Vector3 n;
				n[i] = SGN(p_point[i]);

				Plane p(n, half_extents[i]);
				min_point = p.project(p_point);
			}
		}
	}

	if (!outside)
		return p_point; //it's inside, don't do anything else

	if (outside == 1) //if only above one plane, this plane clearly wins
		return min_point;

	//check segments
	float min_distance = 1e20;
	Vector3 closest_vertex = half_extents * p_point.sign();
	Vector3 s[2] = {
		closest_vertex,
		closest_vertex
	};

	for (int i = 0; i < 3; i++) {

		s[1] = closest_vertex;
		s[1][i] = -s[1][i]; //edge

		Vector3 closest_edge = Geometry::get_closest_point_to_segment(p_point, s);

		float d = p_point.distance_to(closest_edge);
		if (d < min_distance) {
			min_point = closest_edge;
			min_distance = d;
		}
	}

	return min_point;
}

Vector3 BoxShapeSW::get_moment_of_inertia(real_t p_mass) const {

	real_t lx = half_extents.x;
	real_t ly = half_extents.y;
	real_t lz = half_extents.z;

	return Vector3((p_mass / 3.0) * (ly * ly + lz * lz), (p_mass / 3.0) * (lx * lx + lz * lz), (p_mass / 3.0) * (lx * lx + ly * ly));
}

void BoxShapeSW::_setup(const Vector3 &p_half_extents) {

	half_extents = p_half_extents.abs();

	configure(AABB(-half_extents, half_extents * 2));
}

void BoxShapeSW::set_data(const Variant &p_data) {

	_setup(p_data);
}

Variant BoxShapeSW::get_data() const {

	return half_extents;
}

BoxShapeSW::BoxShapeSW() {
}

/********** CAPSULE *************/

void CapsuleShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	Vector3 n = p_transform.basis.xform_inv(p_normal).normalized();
	real_t h = (n.z > 0) ? height : -height;

	n *= radius;
	n.z += h * 0.5;

	r_max = p_normal.dot(p_transform.xform(n));
	r_min = p_normal.dot(p_transform.xform(-n));
}

Vector3 CapsuleShapeSW::get_support(const Vector3 &p_normal) const {

	Vector3 n = p_normal;

	real_t h = (n.z > 0) ? height : -height;

	n *= radius;
	n.z += h * 0.5;
	return n;
}

void CapsuleShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	Vector3 n = p_normal;

	real_t d = n.z;

	if (Math::abs(d) < _EDGE_IS_VALID_SUPPORT_THRESHOLD) {

		// make it flat
		n.z = 0.0;
		n.normalize();
		n *= radius;

		r_amount = 2;
		r_type = FEATURE_EDGE;
		r_supports[0] = n;
		r_supports[0].z += height * 0.5;
		r_supports[1] = n;
		r_supports[1].z -= height * 0.5;

	} else {

		real_t h = (d > 0) ? height : -height;

		n *= radius;
		n.z += h * 0.5;
		r_amount = 1;
		r_type = FEATURE_POINT;
		*r_supports = n;
	}
}

bool CapsuleShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	Vector3 norm = (p_end - p_begin).normalized();
	real_t min_d = 1e20;

	Vector3 res, n;
	bool collision = false;

	Vector3 auxres, auxn;
	bool collided;

	// test against cylinder and spheres :-|

	collided = Geometry::segment_intersects_cylinder(p_begin, p_end, height, radius, &auxres, &auxn);

	if (collided) {
		real_t d = norm.dot(auxres);
		if (d < min_d) {
			min_d = d;
			res = auxres;
			n = auxn;
			collision = true;
		}
	}

	collided = Geometry::segment_intersects_sphere(p_begin, p_end, Vector3(0, 0, height * 0.5), radius, &auxres, &auxn);

	if (collided) {
		real_t d = norm.dot(auxres);
		if (d < min_d) {
			min_d = d;
			res = auxres;
			n = auxn;
			collision = true;
		}
	}

	collided = Geometry::segment_intersects_sphere(p_begin, p_end, Vector3(0, 0, height * -0.5), radius, &auxres, &auxn);

	if (collided) {
		real_t d = norm.dot(auxres);

		if (d < min_d) {
			min_d = d;
			res = auxres;
			n = auxn;
			collision = true;
		}
	}

	if (collision) {

		r_result = res;
		r_normal = n;
	}
	return collision;
}

bool CapsuleShapeSW::intersect_point(const Vector3 &p_point) const {

	if (Math::abs(p_point.z) < height * 0.5) {
		return Vector3(p_point.x, p_point.y, 0).length() < radius;
	} else {
		Vector3 p = p_point;
		p.z = Math::abs(p.z) - height * 0.5;
		return p.length() < radius;
	}
}

Vector3 CapsuleShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	Vector3 s[2] = {
		Vector3(0, 0, -height * 0.5),
		Vector3(0, 0, height * 0.5),
	};

	Vector3 p = Geometry::get_closest_point_to_segment(p_point, s);

	if (p.distance_to(p_point) < radius)
		return p_point;

	return p + (p_point - p).normalized() * radius;
}

Vector3 CapsuleShapeSW::get_moment_of_inertia(real_t p_mass) const {

	// use bad AABB approximation
	Vector3 extents = get_aabb().size * 0.5;

	return Vector3(
			(p_mass / 3.0) * (extents.y * extents.y + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.y * extents.y));
}

void CapsuleShapeSW::_setup(real_t p_height, real_t p_radius) {

	height = p_height;
	radius = p_radius;
	configure(AABB(Vector3(-radius, -radius, -height * 0.5 - radius), Vector3(radius * 2, radius * 2, height + radius * 2.0)));
}

void CapsuleShapeSW::set_data(const Variant &p_data) {

	Dictionary d = p_data;
	ERR_FAIL_COND(!d.has("radius"));
	ERR_FAIL_COND(!d.has("height"));
	_setup(d["height"], d["radius"]);
}

Variant CapsuleShapeSW::get_data() const {

	Dictionary d;
	d["radius"] = radius;
	d["height"] = height;
	return d;
}

CapsuleShapeSW::CapsuleShapeSW() {

	height = radius = 0;
}

/********** CYLINDER *************/

void CylinderShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {
	Vector3 cylinder_axis = p_transform.basis.get_axis(1).normalized();
	real_t axis_dot = cylinder_axis.dot(p_normal);

	Vector3 local_normal = p_transform.basis.xform_inv(p_normal);
	real_t scale = local_normal.length();
	real_t scaled_radius = radius * scale;
	real_t scaled_height = height * scale;

	real_t length;
	if (Math::abs(axis_dot) > 1.0) {
		length = scaled_height * 0.5;
	} else {
		length = Math::abs(axis_dot * scaled_height * 0.5) + scaled_radius * Math::sqrt(1.0 - axis_dot * axis_dot);
	}

	real_t distance = p_normal.dot(p_transform.origin);

	r_min = distance - length;
	r_max = distance + length;
}

Vector3 CylinderShapeSW::get_support(const Vector3 &p_normal) const {
	Vector3 n = p_normal;
	real_t h = (n.y > 0) ? height : -height;
	real_t s = Math::sqrt(n.x * n.x + n.z * n.z);
	if (Math::is_zero_approx(s)) {
		n.x = radius;
		n.y = h * 0.5;
		n.z = 0.0;
	} else {
		real_t d = radius / s;
		n.x = n.x * d;
		n.y = h * 0.5;
		n.z = n.z * d;
	}

	return n;
}

void CylinderShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {
	real_t d = p_normal.y;
	if (Math::abs(d) > _CYLINDER_FACE_IS_VALID_SUPPORT_THRESHOLD) {
		real_t h = (d > 0) ? height : -height;

		Vector3 n = p_normal;
		n.x = 0.0;
		n.z = 0.0;
		n.y = h * 0.5;

		r_amount = 3;
		r_type = FEATURE_CIRCLE;
		r_supports[0] = n;
		r_supports[1] = n;
		r_supports[1].x += radius;
		r_supports[2] = n;
		r_supports[2].z += radius;
	} else if (Math::abs(d) < _CYLINDER_EDGE_IS_VALID_SUPPORT_THRESHOLD) {
		// make it flat
		Vector3 n = p_normal;
		n.y = 0.0;
		n.normalize();
		n *= radius;

		r_amount = 2;
		r_type = FEATURE_EDGE;
		r_supports[0] = n;
		r_supports[0].y += height * 0.5;
		r_supports[1] = n;
		r_supports[1].y -= height * 0.5;
	} else {
		r_amount = 1;
		r_type = FEATURE_POINT;
		r_supports[0] = get_support(p_normal);
		return;

		Vector3 n = p_normal;
		real_t h = n.y * Math::sqrt(0.25 * height * height + radius * radius);
		if (Math::abs(h) > 1.0) {
			// Top or bottom surface.
			n.y = (n.y > 0.0) ? height * 0.5 : -height * 0.5;
		} else {
			// Lateral surface.
			n.y = height * 0.5 * h;
		}

		real_t s = Math::sqrt(n.x * n.x + n.z * n.z);
		if (Math::is_zero_approx(s)) {
			n.x = 0.0;
			n.z = 0.0;
		} else {
			real_t scaled_radius = radius / s;
			n.x = n.x * scaled_radius;
			n.z = n.z * scaled_radius;
		}

		r_supports[0] = n;
	}
}

bool CylinderShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {
	return Geometry::segment_intersects_cylinder(p_begin, p_end, height, radius, &r_result, &r_normal, 1);
}

bool CylinderShapeSW::intersect_point(const Vector3 &p_point) const {
	if (Math::abs(p_point.y) < height * 0.5) {
		return Vector3(p_point.x, 0, p_point.z).length() < radius;
	}
	return false;
}

Vector3 CylinderShapeSW::get_closest_point_to(const Vector3 &p_point) const {
	if (Math::absf(p_point.y) > height * 0.5) {
		// Project point to top disk.
		real_t dir = p_point.y > 0.0 ? 1.0 : -1.0;
		Vector3 circle_pos(0.0, dir * height * 0.5, 0.0);
		Plane circle_plane(circle_pos, Vector3(0.0, dir, 0.0));
		Vector3 proj_point = circle_plane.project(p_point);

		// Clip position.
		Vector3 delta_point_1 = proj_point - circle_pos;
		real_t dist_point_1 = delta_point_1.length_squared();
		if (!Math::is_zero_approx(dist_point_1)) {
			dist_point_1 = Math::sqrt(dist_point_1);
			proj_point = circle_pos + delta_point_1 * MIN(dist_point_1, radius) / dist_point_1;
		}

		return proj_point;
	} else {
		Vector3 s[2] = {
			Vector3(0, -height * 0.5, 0),
			Vector3(0, height * 0.5, 0),
		};

		Vector3 p = Geometry::get_closest_point_to_segment(p_point, s);

		if (p.distance_to(p_point) < radius) {
			return p_point;
		}

		return p + (p_point - p).normalized() * radius;
	}
}

Vector3 CylinderShapeSW::get_moment_of_inertia(real_t p_mass) const {
	// use bad AABB approximation
	Vector3 extents = get_aabb().size * 0.5;

	return Vector3(
			(p_mass / 3.0) * (extents.y * extents.y + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.y * extents.y));
}

void CylinderShapeSW::_setup(real_t p_height, real_t p_radius) {
	height = p_height;
	radius = p_radius;
	configure(AABB(Vector3(-radius, -height * 0.5, -radius), Vector3(radius * 2.0, height, radius * 2.0)));
}

void CylinderShapeSW::set_data(const Variant &p_data) {
	Dictionary d = p_data;
	ERR_FAIL_COND(!d.has("radius"));
	ERR_FAIL_COND(!d.has("height"));
	_setup(d["height"], d["radius"]);
}

Variant CylinderShapeSW::get_data() const {
	Dictionary d;
	d["radius"] = radius;
	d["height"] = height;
	return d;
}

CylinderShapeSW::CylinderShapeSW() {
	height = radius = 0;
}

/********** CONVEX POLYGON *************/

void ConvexPolygonShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	int vertex_count = mesh.vertices.size();
	if (vertex_count == 0)
		return;

	const Vector3 *vrts = &mesh.vertices[0];

	for (int i = 0; i < vertex_count; i++) {

		real_t d = p_normal.dot(p_transform.xform(vrts[i]));

		if (i == 0 || d > r_max)
			r_max = d;
		if (i == 0 || d < r_min)
			r_min = d;
	}
}

Vector3 ConvexPolygonShapeSW::get_support(const Vector3 &p_normal) const {

	Vector3 n = p_normal;

	int vert_support_idx = -1;
	real_t support_max = 0;

	int vertex_count = mesh.vertices.size();
	if (vertex_count == 0)
		return Vector3();

	const Vector3 *vrts = &mesh.vertices[0];

	for (int i = 0; i < vertex_count; i++) {

		real_t d = n.dot(vrts[i]);

		if (i == 0 || d > support_max) {
			support_max = d;
			vert_support_idx = i;
		}
	}

	return vrts[vert_support_idx];
}

void ConvexPolygonShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	const Geometry::MeshData::Face *faces = mesh.faces.ptr();
	int fc = mesh.faces.size();

	const Geometry::MeshData::Edge *edges = mesh.edges.ptr();
	int ec = mesh.edges.size();

	const Vector3 *vertices = mesh.vertices.ptr();
	int vc = mesh.vertices.size();

	r_amount = 0;
	ERR_FAIL_COND_MSG(vc == 0, "Convex polygon shape has no vertices.");

	//find vertex first
	real_t max = 0;
	int vtx = 0;

	for (int i = 0; i < vc; i++) {

		real_t d = p_normal.dot(vertices[i]);

		if (i == 0 || d > max) {
			max = d;
			vtx = i;
		}
	}

	for (int i = 0; i < fc; i++) {

		if (faces[i].plane.normal.dot(p_normal) > _FACE_IS_VALID_SUPPORT_THRESHOLD) {

			int ic = faces[i].indices.size();
			const int *ind = faces[i].indices.ptr();

			bool valid = false;
			for (int j = 0; j < ic; j++) {
				if (ind[j] == vtx) {
					valid = true;
					break;
				}
			}

			if (!valid)
				continue;

			int m = MIN(p_max, ic);
			for (int j = 0; j < m; j++) {

				r_supports[j] = vertices[ind[j]];
			}
			r_amount = m;
			r_type = FEATURE_FACE;
			return;
		}
	}

	for (int i = 0; i < ec; i++) {

		real_t dot = (vertices[edges[i].a] - vertices[edges[i].b]).normalized().dot(p_normal);
		dot = ABS(dot);
		if (dot < _EDGE_IS_VALID_SUPPORT_THRESHOLD && (edges[i].a == vtx || edges[i].b == vtx)) {

			r_amount = 2;
			r_type = FEATURE_EDGE;
			r_supports[0] = vertices[edges[i].a];
			r_supports[1] = vertices[edges[i].b];
			return;
		}
	}

	r_supports[0] = vertices[vtx];
	r_amount = 1;
	r_type = FEATURE_POINT;
}

bool ConvexPolygonShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	const Geometry::MeshData::Face *faces = mesh.faces.ptr();
	int fc = mesh.faces.size();

	const Vector3 *vertices = mesh.vertices.ptr();

	Vector3 n = p_end - p_begin;
	real_t min = 1e20;
	bool col = false;

	for (int i = 0; i < fc; i++) {

		if (faces[i].plane.normal.dot(n) > 0)
			continue; //opposing face

		int ic = faces[i].indices.size();
		const int *ind = faces[i].indices.ptr();

		for (int j = 1; j < ic - 1; j++) {

			Face3 f(vertices[ind[0]], vertices[ind[j]], vertices[ind[j + 1]]);
			Vector3 result;
			if (f.intersects_segment(p_begin, p_end, &result)) {
				real_t d = n.dot(result);
				if (d < min) {
					min = d;
					r_result = result;
					r_normal = faces[i].plane.normal;
					col = true;
				}

				break;
			}
		}
	}

	return col;
}

bool ConvexPolygonShapeSW::intersect_point(const Vector3 &p_point) const {

	const Geometry::MeshData::Face *faces = mesh.faces.ptr();
	int fc = mesh.faces.size();

	for (int i = 0; i < fc; i++) {

		if (faces[i].plane.distance_to(p_point) >= 0)
			return false;
	}

	return true;
}

Vector3 ConvexPolygonShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	const Geometry::MeshData::Face *faces = mesh.faces.ptr();
	int fc = mesh.faces.size();
	const Vector3 *vertices = mesh.vertices.ptr();

	bool all_inside = true;
	for (int i = 0; i < fc; i++) {

		if (!faces[i].plane.is_point_over(p_point))
			continue;

		all_inside = false;
		bool is_inside = true;
		int ic = faces[i].indices.size();
		const int *indices = faces[i].indices.ptr();

		for (int j = 0; j < ic; j++) {

			Vector3 a = vertices[indices[j]];
			Vector3 b = vertices[indices[(j + 1) % ic]];
			Vector3 n = (a - b).cross(faces[i].plane.normal).normalized();
			if (Plane(a, n).is_point_over(p_point)) {
				is_inside = false;
				break;
			}
		}

		if (is_inside) {
			return faces[i].plane.project(p_point);
		}
	}

	if (all_inside) {
		return p_point;
	}

	float min_distance = 1e20;
	Vector3 min_point;

	//check edges
	const Geometry::MeshData::Edge *edges = mesh.edges.ptr();
	int ec = mesh.edges.size();
	for (int i = 0; i < ec; i++) {

		Vector3 s[2] = {
			vertices[edges[i].a],
			vertices[edges[i].b]
		};

		Vector3 closest = Geometry::get_closest_point_to_segment(p_point, s);
		float d = closest.distance_to(p_point);
		if (d < min_distance) {
			min_distance = d;
			min_point = closest;
		}
	}

	return min_point;
}

Vector3 ConvexPolygonShapeSW::get_moment_of_inertia(real_t p_mass) const {

	// use bad AABB approximation
	Vector3 extents = get_aabb().size * 0.5;

	return Vector3(
			(p_mass / 3.0) * (extents.y * extents.y + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.y * extents.y));
}

void ConvexPolygonShapeSW::_setup(const Vector<Vector3> &p_vertices) {

	Error err = QuickHull::build(p_vertices, mesh);
	if (err != OK)
		ERR_PRINT("Failed to build QuickHull");

	AABB _aabb;

	for (int i = 0; i < mesh.vertices.size(); i++) {

		if (i == 0)
			_aabb.position = mesh.vertices[i];
		else
			_aabb.expand_to(mesh.vertices[i]);
	}

	configure(_aabb);
}

void ConvexPolygonShapeSW::set_data(const Variant &p_data) {

	_setup(p_data);
}

Variant ConvexPolygonShapeSW::get_data() const {

	return mesh.vertices;
}

ConvexPolygonShapeSW::ConvexPolygonShapeSW() {
}

/********** FACE POLYGON *************/

void FaceShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	for (int i = 0; i < 3; i++) {

		Vector3 v = p_transform.xform(vertex[i]);
		real_t d = p_normal.dot(v);

		if (i == 0 || d > r_max)
			r_max = d;

		if (i == 0 || d < r_min)
			r_min = d;
	}
}

Vector3 FaceShapeSW::get_support(const Vector3 &p_normal) const {

	int vert_support_idx = -1;
	real_t support_max = 0;

	for (int i = 0; i < 3; i++) {

		real_t d = p_normal.dot(vertex[i]);

		if (i == 0 || d > support_max) {
			support_max = d;
			vert_support_idx = i;
		}
	}

	return vertex[vert_support_idx];
}

void FaceShapeSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {

	Vector3 n = p_normal;

	/** TEST FACE AS SUPPORT **/
	if (Math::abs(normal.dot(n)) > _FACE_IS_VALID_SUPPORT_THRESHOLD) {

		r_amount = 3;
		r_type = FEATURE_FACE;
		for (int i = 0; i < 3; i++) {

			r_supports[i] = vertex[i];
		}
		return;
	}

	/** FIND SUPPORT VERTEX **/

	int vert_support_idx = -1;
	real_t support_max = 0;

	for (int i = 0; i < 3; i++) {

		real_t d = n.dot(vertex[i]);

		if (i == 0 || d > support_max) {
			support_max = d;
			vert_support_idx = i;
		}
	}

	/** TEST EDGES AS SUPPORT **/

	for (int i = 0; i < 3; i++) {

		int nx = (i + 1) % 3;
		if (i != vert_support_idx && nx != vert_support_idx)
			continue;

		// check if edge is valid as a support
		real_t dot = (vertex[i] - vertex[nx]).normalized().dot(n);
		dot = ABS(dot);
		if (dot < _EDGE_IS_VALID_SUPPORT_THRESHOLD) {

			r_amount = 2;
			r_type = FEATURE_EDGE;
			r_supports[0] = vertex[i];
			r_supports[1] = vertex[nx];
			return;
		}
	}

	r_amount = 1;
	r_type = FEATURE_POINT;
	r_supports[0] = vertex[vert_support_idx];
}

bool FaceShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	bool c = Geometry::segment_intersects_triangle(p_begin, p_end, vertex[0], vertex[1], vertex[2], &r_result);
	if (c) {
		r_normal = Plane(vertex[0], vertex[1], vertex[2]).normal;
		if (r_normal.dot(p_end - p_begin) > 0) {
			r_normal = -r_normal;
		}
	}

	return c;
}

bool FaceShapeSW::intersect_point(const Vector3 &p_point) const {

	return false; //face is flat
}

Vector3 FaceShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	return Face3(vertex[0], vertex[1], vertex[2]).get_closest_point_to(p_point);
}

Vector3 FaceShapeSW::get_moment_of_inertia(real_t p_mass) const {

	return Vector3(); // Sorry, but i don't think anyone cares, FaceShape!
}

FaceShapeSW::FaceShapeSW() {

	configure(AABB());
}

PoolVector<Vector3> ConcavePolygonShapeSW::get_faces() const {

	PoolVector<Vector3> rfaces;
	rfaces.resize(faces.size() * 3);

	for (int i = 0; i < faces.size(); i++) {

		Face f = faces.get(i);

		for (int j = 0; j < 3; j++) {

			rfaces.set(i * 3 + j, vertices.get(f.indices[j]));
		}
	}

	return rfaces;
}

void ConcavePolygonShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {

	int count = vertices.size();
	if (count == 0) {
		r_min = 0;
		r_max = 0;
		return;
	}
	PoolVector<Vector3>::Read r = vertices.read();
	const Vector3 *vptr = r.ptr();

	for (int i = 0; i < count; i++) {

		real_t d = p_normal.dot(p_transform.xform(vptr[i]));

		if (i == 0 || d > r_max)
			r_max = d;
		if (i == 0 || d < r_min)
			r_min = d;
	}
}

Vector3 ConcavePolygonShapeSW::get_support(const Vector3 &p_normal) const {

	int count = vertices.size();
	if (count == 0)
		return Vector3();

	PoolVector<Vector3>::Read r = vertices.read();
	const Vector3 *vptr = r.ptr();

	Vector3 n = p_normal;

	int vert_support_idx = -1;
	real_t support_max = 0;

	for (int i = 0; i < count; i++) {

		real_t d = n.dot(vptr[i]);

		if (i == 0 || d > support_max) {
			support_max = d;
			vert_support_idx = i;
		}
	}

	return vptr[vert_support_idx];
}

void ConcavePolygonShapeSW::_cull_segment(int p_idx, _SegmentCullParams *p_params) const {

	const BVH *bvh = &p_params->bvh[p_idx];

	/*
	if (p_params->dir.dot(bvh->aabb.get_support(-p_params->dir))>p_params->min_d)
		return; //test against whole AABB, which isn't very costly
	*/

	//printf("addr: %p\n",bvh);
	if (!bvh->aabb.intersects_segment(p_params->from, p_params->to)) {

		return;
	}

	if (bvh->face_index >= 0) {

		Vector3 res;
		Vector3 vertices[3] = {
			p_params->vertices[p_params->faces[bvh->face_index].indices[0]],
			p_params->vertices[p_params->faces[bvh->face_index].indices[1]],
			p_params->vertices[p_params->faces[bvh->face_index].indices[2]]
		};

		if (Geometry::segment_intersects_triangle(
					p_params->from,
					p_params->to,
					vertices[0],
					vertices[1],
					vertices[2],
					&res)) {

			real_t d = p_params->dir.dot(res) - p_params->dir.dot(p_params->from);
			//TODO, seems segmen/triangle intersection is broken :(
			if (d > 0 && d < p_params->min_d) {

				p_params->min_d = d;
				p_params->result = res;
				p_params->normal = Plane(vertices[0], vertices[1], vertices[2]).normal;
				p_params->collisions++;
			}
		}

	} else {

		if (bvh->left >= 0)
			_cull_segment(bvh->left, p_params);
		if (bvh->right >= 0)
			_cull_segment(bvh->right, p_params);
	}
}

bool ConcavePolygonShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {

	if (faces.size() == 0)
		return false;

	// unlock data
	PoolVector<Face>::Read fr = faces.read();
	PoolVector<Vector3>::Read vr = vertices.read();
	PoolVector<BVH>::Read br = bvh.read();

	_SegmentCullParams params;
	params.from = p_begin;
	params.to = p_end;
	params.collisions = 0;
	params.dir = (p_end - p_begin).normalized();

	params.faces = fr.ptr();
	params.vertices = vr.ptr();
	params.bvh = br.ptr();

	params.min_d = 1e20;
	// cull
	_cull_segment(0, &params);

	if (params.collisions > 0) {

		r_result = params.result;
		r_normal = params.normal;
		return true;
	} else {

		return false;
	}
}

bool ConcavePolygonShapeSW::intersect_point(const Vector3 &p_point) const {

	return false; //face is flat
}

Vector3 ConcavePolygonShapeSW::get_closest_point_to(const Vector3 &p_point) const {

	return Vector3();
}

void ConcavePolygonShapeSW::_cull(int p_idx, _CullParams *p_params) const {

	const BVH *bvh = &p_params->bvh[p_idx];

	if (!p_params->aabb.intersects(bvh->aabb))
		return;

	if (bvh->face_index >= 0) {

		const Face *f = &p_params->faces[bvh->face_index];
		FaceShapeSW *face = p_params->face;
		face->normal = f->normal;
		face->vertex[0] = p_params->vertices[f->indices[0]];
		face->vertex[1] = p_params->vertices[f->indices[1]];
		face->vertex[2] = p_params->vertices[f->indices[2]];
		p_params->callback(p_params->userdata, face);

	} else {

		if (bvh->left >= 0) {

			_cull(bvh->left, p_params);
		}

		if (bvh->right >= 0) {

			_cull(bvh->right, p_params);
		}
	}
}

void ConcavePolygonShapeSW::cull(const AABB &p_local_aabb, Callback p_callback, void *p_userdata) const {

	// make matrix local to concave
	if (faces.size() == 0)
		return;

	AABB local_aabb = p_local_aabb;

	// unlock data
	PoolVector<Face>::Read fr = faces.read();
	PoolVector<Vector3>::Read vr = vertices.read();
	PoolVector<BVH>::Read br = bvh.read();

	FaceShapeSW face; // use this to send in the callback

	_CullParams params;
	params.aabb = local_aabb;
	params.face = &face;
	params.faces = fr.ptr();
	params.vertices = vr.ptr();
	params.bvh = br.ptr();
	params.callback = p_callback;
	params.userdata = p_userdata;

	// cull
	_cull(0, &params);
}

Vector3 ConcavePolygonShapeSW::get_moment_of_inertia(real_t p_mass) const {

	// use bad AABB approximation
	Vector3 extents = get_aabb().size * 0.5;

	return Vector3(
			(p_mass / 3.0) * (extents.y * extents.y + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.y * extents.y));
}

struct _VolumeSW_BVH_Element {

	AABB aabb;
	Vector3 center;
	int face_index;
};

struct _VolumeSW_BVH_CompareX {

	_FORCE_INLINE_ bool operator()(const _VolumeSW_BVH_Element &a, const _VolumeSW_BVH_Element &b) const {

		return a.center.x < b.center.x;
	}
};

struct _VolumeSW_BVH_CompareY {

	_FORCE_INLINE_ bool operator()(const _VolumeSW_BVH_Element &a, const _VolumeSW_BVH_Element &b) const {

		return a.center.y < b.center.y;
	}
};

struct _VolumeSW_BVH_CompareZ {

	_FORCE_INLINE_ bool operator()(const _VolumeSW_BVH_Element &a, const _VolumeSW_BVH_Element &b) const {

		return a.center.z < b.center.z;
	}
};

struct _VolumeSW_BVH {

	AABB aabb;
	_VolumeSW_BVH *left;
	_VolumeSW_BVH *right;

	int face_index;
};

_VolumeSW_BVH *_volume_sw_build_bvh(_VolumeSW_BVH_Element *p_elements, int p_size, int &count) {

	_VolumeSW_BVH *bvh = memnew(_VolumeSW_BVH);

	if (p_size == 1) {
		//leaf
		bvh->aabb = p_elements[0].aabb;
		bvh->left = NULL;
		bvh->right = NULL;
		bvh->face_index = p_elements->face_index;
		count++;
		return bvh;
	} else {

		bvh->face_index = -1;
	}

	AABB aabb;
	for (int i = 0; i < p_size; i++) {

		if (i == 0)
			aabb = p_elements[i].aabb;
		else
			aabb.merge_with(p_elements[i].aabb);
	}
	bvh->aabb = aabb;
	switch (aabb.get_longest_axis_index()) {

		case 0: {

			SortArray<_VolumeSW_BVH_Element, _VolumeSW_BVH_CompareX> sort_x;
			sort_x.sort(p_elements, p_size);

		} break;
		case 1: {

			SortArray<_VolumeSW_BVH_Element, _VolumeSW_BVH_CompareY> sort_y;
			sort_y.sort(p_elements, p_size);
		} break;
		case 2: {

			SortArray<_VolumeSW_BVH_Element, _VolumeSW_BVH_CompareZ> sort_z;
			sort_z.sort(p_elements, p_size);
		} break;
	}

	int split = p_size / 2;
	bvh->left = _volume_sw_build_bvh(p_elements, split, count);
	bvh->right = _volume_sw_build_bvh(&p_elements[split], p_size - split, count);

	//printf("branch at %p - %i: %i\n",bvh,count,bvh->face_index);
	count++;
	return bvh;
}

void ConcavePolygonShapeSW::_fill_bvh(_VolumeSW_BVH *p_bvh_tree, BVH *p_bvh_array, int &p_idx) {

	int idx = p_idx;

	p_bvh_array[idx].aabb = p_bvh_tree->aabb;
	p_bvh_array[idx].face_index = p_bvh_tree->face_index;
	//printf("%p - %i: %i(%p)  -- %p:%p\n",%p_bvh_array[idx],p_idx,p_bvh_array[i]->face_index,&p_bvh_tree->face_index,p_bvh_tree->left,p_bvh_tree->right);

	if (p_bvh_tree->left) {
		p_bvh_array[idx].left = ++p_idx;
		_fill_bvh(p_bvh_tree->left, p_bvh_array, p_idx);

	} else {

		p_bvh_array[p_idx].left = -1;
	}

	if (p_bvh_tree->right) {
		p_bvh_array[idx].right = ++p_idx;
		_fill_bvh(p_bvh_tree->right, p_bvh_array, p_idx);

	} else {

		p_bvh_array[p_idx].right = -1;
	}

	memdelete(p_bvh_tree);
}

void ConcavePolygonShapeSW::_setup(PoolVector<Vector3> p_faces) {

	int src_face_count = p_faces.size();
	if (src_face_count == 0) {
		configure(AABB());
		return;
	}
	ERR_FAIL_COND(src_face_count % 3);
	src_face_count /= 3;

	PoolVector<Vector3>::Read r = p_faces.read();
	const Vector3 *facesr = r.ptr();

	PoolVector<_VolumeSW_BVH_Element> bvh_array;
	bvh_array.resize(src_face_count);

	PoolVector<_VolumeSW_BVH_Element>::Write bvhw = bvh_array.write();
	_VolumeSW_BVH_Element *bvh_arrayw = bvhw.ptr();

	faces.resize(src_face_count);
	PoolVector<Face>::Write w = faces.write();
	Face *facesw = w.ptr();

	vertices.resize(src_face_count * 3);

	PoolVector<Vector3>::Write vw = vertices.write();
	Vector3 *verticesw = vw.ptr();

	AABB _aabb;

	for (int i = 0; i < src_face_count; i++) {

		Face3 face(facesr[i * 3 + 0], facesr[i * 3 + 1], facesr[i * 3 + 2]);

		bvh_arrayw[i].aabb = face.get_aabb();
		bvh_arrayw[i].center = bvh_arrayw[i].aabb.position + bvh_arrayw[i].aabb.size * 0.5;
		bvh_arrayw[i].face_index = i;
		facesw[i].indices[0] = i * 3 + 0;
		facesw[i].indices[1] = i * 3 + 1;
		facesw[i].indices[2] = i * 3 + 2;
		facesw[i].normal = face.get_plane().normal;
		verticesw[i * 3 + 0] = face.vertex[0];
		verticesw[i * 3 + 1] = face.vertex[1];
		verticesw[i * 3 + 2] = face.vertex[2];
		if (i == 0)
			_aabb = bvh_arrayw[i].aabb;
		else
			_aabb.merge_with(bvh_arrayw[i].aabb);
	}

	w.release();
	vw.release();

	int count = 0;
	_VolumeSW_BVH *bvh_tree = _volume_sw_build_bvh(bvh_arrayw, src_face_count, count);

	bvh.resize(count + 1);

	PoolVector<BVH>::Write bvhw2 = bvh.write();
	BVH *bvh_arrayw2 = bvhw2.ptr();

	int idx = 0;
	_fill_bvh(bvh_tree, bvh_arrayw2, idx);

	configure(_aabb); // this type of shape has no margin
}

void ConcavePolygonShapeSW::set_data(const Variant &p_data) {

	_setup(p_data);
}

Variant ConcavePolygonShapeSW::get_data() const {

	return get_faces();
}

ConcavePolygonShapeSW::ConcavePolygonShapeSW() {
}

/* HEIGHT MAP SHAPE */

PoolVector<real_t> HeightMapShapeSW::get_heights() const {
	return heights;
}

int HeightMapShapeSW::get_width() const {
	return width;
}

int HeightMapShapeSW::get_depth() const {
	return depth;
}

void HeightMapShapeSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {
	//not very useful, but not very used either
	p_transform.xform(get_aabb()).project_range_in_plane(Plane(p_normal, 0), r_min, r_max);
}

Vector3 HeightMapShapeSW::get_support(const Vector3 &p_normal) const {
	//not very useful, but not very used either
	return get_aabb().get_support(p_normal);
}

struct _HeightmapSegmentCullParams {
	Vector3 from;
	Vector3 to;
	Vector3 dir;

	Vector3 result;
	Vector3 normal;

	const HeightMapShapeSW *heightmap = nullptr;
	FaceShapeSW *face = nullptr;
};

_FORCE_INLINE_ bool _heightmap_face_cull_segment(_HeightmapSegmentCullParams &p_params) {
	Vector3 res;
	Vector3 normal;
	if (p_params.face->intersect_segment(p_params.from, p_params.to, res, normal)) {
		p_params.result = res;
		p_params.normal = normal;
		return true;
	}

	return false;
}

_FORCE_INLINE_ bool _heightmap_cell_cull_segment(_HeightmapSegmentCullParams &p_params, int p_x, int p_z) {
	// First triangle.
	p_params.heightmap->_get_point(p_x, p_z, p_params.face->vertex[0]);
	p_params.heightmap->_get_point(p_x + 1, p_z, p_params.face->vertex[1]);
	p_params.heightmap->_get_point(p_x, p_z + 1, p_params.face->vertex[2]);
	p_params.face->normal = Plane(p_params.face->vertex[0], p_params.face->vertex[1], p_params.face->vertex[2]).normal;
	if (_heightmap_face_cull_segment(p_params)) {
		return true;
	}

	// Second triangle.
	p_params.face->vertex[0] = p_params.face->vertex[1];
	p_params.heightmap->_get_point(p_x + 1, p_z + 1, p_params.face->vertex[1]);
	p_params.face->normal = Plane(p_params.face->vertex[0], p_params.face->vertex[1], p_params.face->vertex[2]).normal;
	if (_heightmap_face_cull_segment(p_params)) {
		return true;
	}

	return false;
}

bool HeightMapShapeSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal) const {
	if (heights.empty()) {
		return false;
	}

	Vector3 local_begin = p_begin + local_origin;
	Vector3 local_end = p_end + local_origin;

	FaceShapeSW face;

	_HeightmapSegmentCullParams params;
	params.from = p_begin;
	params.to = p_end;
	params.dir = (p_end - p_begin).normalized();
	params.heightmap = this;
	params.face = &face;

	// Quantize the ray begin/end.
	int begin_x = floor(local_begin.x);
	int begin_z = floor(local_begin.z);
	int end_x = floor(local_end.x);
	int end_z = floor(local_end.z);

	if ((begin_x == end_x) && (begin_z == end_z)) {
		// Simple case for rays that don't traverse the grid horizontally.
		// Just perform a test on the given cell.
		int x = CLAMP(begin_x, 0, width - 2);
		int z = CLAMP(begin_z, 0, depth - 2);
		if (_heightmap_cell_cull_segment(params, x, z)) {
			r_point = params.result;
			r_normal = params.normal;
			return true;
		}
	} else {
		// Perform grid query from projected ray.
		Vector2 ray_dir_proj(local_end.x - local_begin.x, local_end.z - local_begin.z);
		real_t ray_dist_proj = ray_dir_proj.length();

		if (ray_dist_proj < CMP_EPSILON) {
			ray_dir_proj = Vector2();
		} else {
			ray_dir_proj /= ray_dist_proj;
		}

		const int x_step = (ray_dir_proj.x > CMP_EPSILON) ? 1 : ((ray_dir_proj.x < -CMP_EPSILON) ? -1 : 0);
		const int z_step = (ray_dir_proj.y > CMP_EPSILON) ? 1 : ((ray_dir_proj.y < -CMP_EPSILON) ? -1 : 0);

		const real_t infinite = 1e20;
		const real_t delta_x = (x_step != 0) ? 1.f / Math::abs(ray_dir_proj.x) : infinite;
		const real_t delta_z = (z_step != 0) ? 1.f / Math::abs(ray_dir_proj.y) : infinite;

		real_t cross_x; // At which value of `param` we will cross a x-axis lane?
		real_t cross_z; // At which value of `param` we will cross a z-axis lane?

		// X initialization.
		if (x_step != 0) {
			if (x_step == 1) {
				cross_x = (ceil(local_begin.x) - local_begin.x) * delta_x;
			} else {
				cross_x = (local_begin.x - floor(local_begin.x)) * delta_x;
			}
		} else {
			cross_x = infinite; // Will never cross on X.
		}

		// Z initialization.
		if (z_step != 0) {
			if (z_step == 1) {
				cross_z = (ceil(local_begin.z) - local_begin.z) * delta_z;
			} else {
				cross_z = (local_begin.z - floor(local_begin.z)) * delta_z;
			}
		} else {
			cross_z = infinite; // Will never cross on Z.
		}

		int x = floor(local_begin.x);
		int z = floor(local_begin.z);

		// Workaround cases where the ray starts at an integer position.
		if (Math::abs(cross_x) < CMP_EPSILON) {
			cross_x += delta_x;
			// If going backwards, we should ignore the position we would get by the above flooring,
			// because the ray is not heading in that direction.
			if (x_step == -1) {
				x -= 1;
			}
		}

		if (Math::abs(cross_z) < CMP_EPSILON) {
			cross_z += delta_z;
			if (z_step == -1) {
				z -= 1;
			}
		}

		// Start inside the grid.
		int x_start = CLAMP(x, 0, width - 2);
		int z_start = CLAMP(z, 0, depth - 2);

		// Adjust initial cross values.
		cross_x += delta_x * x_step * (x_start - x);
		cross_z += delta_z * z_step * (z_start - z);

		x = x_start;
		z = z_start;

		if (_heightmap_cell_cull_segment(params, x, z)) {
			r_point = params.result;
			r_normal = params.normal;
			return true;
		}

		real_t dist = 0.0;
		while (true) {
			if (cross_x < cross_z) {
				// X lane.
				x += x_step;
				// Assign before advancing the param,
				// to be in sync with the initialization step.
				dist = cross_x;
				cross_x += delta_x;
			} else {
				// Z lane.
				z += z_step;
				dist = cross_z;
				cross_z += delta_z;
			}

			// Stop when outside the grid.
			if ((x < 0) || (z < 0) || (x >= width - 1) || (z >= depth - 1)) {
				break;
			}

			if (_heightmap_cell_cull_segment(params, x, z)) {
				r_point = params.result;
				r_normal = params.normal;
				return true;
			}

			if (dist > ray_dist_proj) {
				break;
			}
		}
	}

	return false;
}

bool HeightMapShapeSW::intersect_point(const Vector3 &p_point) const {
	return false;
}

Vector3 HeightMapShapeSW::get_closest_point_to(const Vector3 &p_point) const {
	return Vector3();
}

void HeightMapShapeSW::_get_cell(const Vector3 &p_point, int &r_x, int &r_y, int &r_z) const {
	const AABB &aabb = get_aabb();

	Vector3 pos_local = aabb.position + local_origin;

	Vector3 clamped_point(p_point);
	clamped_point.x = CLAMP(p_point.x, pos_local.x, pos_local.x + aabb.size.x);
	clamped_point.y = CLAMP(p_point.y, pos_local.y, pos_local.y + aabb.size.y);
	clamped_point.z = CLAMP(p_point.z, pos_local.z, pos_local.x + aabb.size.z);

	r_x = (clamped_point.x < 0.0) ? (clamped_point.x - 0.5) : (clamped_point.x + 0.5);
	r_y = (clamped_point.y < 0.0) ? (clamped_point.y - 0.5) : (clamped_point.y + 0.5);
	r_z = (clamped_point.z < 0.0) ? (clamped_point.z - 0.5) : (clamped_point.z + 0.5);
}

void HeightMapShapeSW::cull(const AABB &p_local_aabb, Callback p_callback, void *p_userdata) const {
	if (heights.empty()) {
		return;
	}

	AABB local_aabb = p_local_aabb;
	local_aabb.position += local_origin;

	// Quantize the aabb, and adjust the start/end ranges.
	int aabb_min[3];
	int aabb_max[3];
	_get_cell(local_aabb.position, aabb_min[0], aabb_min[1], aabb_min[2]);
	_get_cell(local_aabb.position + local_aabb.size, aabb_max[0], aabb_max[1], aabb_max[2]);

	// Expand the min/max quantized values.
	// This is to catch the case where the input aabb falls between grid points.
	for (int i = 0; i < 3; ++i) {
		aabb_min[i]--;
		aabb_max[i]++;
	}

	int start_x = MAX(0, aabb_min[0]);
	int end_x = MIN(width - 1, aabb_max[0]);
	int start_z = MAX(0, aabb_min[2]);
	int end_z = MIN(depth - 1, aabb_max[2]);

	FaceShapeSW face;

	for (int z = start_z; z < end_z; z++) {
		for (int x = start_x; x < end_x; x++) {
			// First triangle.
			_get_point(x, z, face.vertex[0]);
			_get_point(x + 1, z, face.vertex[1]);
			_get_point(x, z + 1, face.vertex[2]);
			face.normal = Plane(face.vertex[0], face.vertex[1], face.vertex[2]).normal;
			p_callback(p_userdata, &face);

			// Second triangle.
			face.vertex[0] = face.vertex[1];
			_get_point(x + 1, z + 1, face.vertex[1]);
			face.normal = Plane(face.vertex[0], face.vertex[1], face.vertex[2]).normal;
			p_callback(p_userdata, &face);
		}
	}
}

Vector3 HeightMapShapeSW::get_moment_of_inertia(real_t p_mass) const {

	// use bad AABB approximation
	Vector3 extents = get_aabb().size * 0.5;

	return Vector3(
			(p_mass / 3.0) * (extents.y * extents.y + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.z * extents.z),
			(p_mass / 3.0) * (extents.x * extents.x + extents.y * extents.y));
}

void HeightMapShapeSW::_setup(const PoolVector<real_t> &p_heights, int p_width, int p_depth, real_t p_min_height, real_t p_max_height) {
	heights = p_heights;
	width = p_width;
	depth = p_depth;

	// Initialize aabb.
	AABB aabb;
	aabb.position = Vector3(0.0, p_min_height, 0.0);
	aabb.size = Vector3(p_width - 1, p_max_height - p_min_height, p_depth - 1);

	// Initialize origin as the aabb center.
	local_origin = aabb.position + 0.5 * aabb.size;
	local_origin.y = 0.0;

	aabb.position -= local_origin;

	configure(aabb);
}

void HeightMapShapeSW::set_data(const Variant &p_data) {
	ERR_FAIL_COND(p_data.get_type() != Variant::DICTIONARY);

	Dictionary d = p_data;
	ERR_FAIL_COND(!d.has("width"));
	ERR_FAIL_COND(!d.has("depth"));
	ERR_FAIL_COND(!d.has("heights"));

	int width = d["width"];
	int depth = d["depth"];

	ERR_FAIL_COND(width <= 0.0);
	ERR_FAIL_COND(depth <= 0.0);

	Variant heights_variant = d["heights"];
	PoolVector<real_t> heights_buffer;
	if (heights_variant.get_type() == Variant::POOL_REAL_ARRAY) {
		// Ready-to-use heights can be passed.
		heights_buffer = heights_variant;
	} else if (heights_variant.get_type() == Variant::OBJECT) {
		// If an image is passed, we have to convert it.
		// This would be expensive to do with a script, so it's nice to have it here.
		Ref<Image> image = heights_variant;
		ERR_FAIL_COND(image.is_null());
		ERR_FAIL_COND(image->get_format() != Image::FORMAT_RF);

		PoolByteArray im_data = image->get_data();
		heights_buffer.resize(image->get_width() * image->get_height());

		PoolRealArray::Write w = heights_buffer.write();
		PoolByteArray::Read r = im_data.read();
		float *rp = (float *)r.ptr();
		for (int i = 0; i < heights_buffer.size(); ++i) {
			w[i] = rp[i];
		}
	} else {
		ERR_FAIL_MSG("Expected PoolRealArray or float Image.");
	}

	// Compute min and max heights or use precomputed values.
	real_t min_height = 0.0;
	real_t max_height = 0.0;
	if (d.has("min_height") && d.has("max_height")) {
		min_height = d["min_height"];
		max_height = d["max_height"];
	} else {
		PoolVector<real_t>::Read r = heights.read();
		int heights_size = heights.size();
		for (int i = 0; i < heights_size; ++i) {
			real_t h = r[i];
			if (h < min_height) {
				min_height = h;
			} else if (h > max_height) {
				max_height = h;
			}
		}
	}

	ERR_FAIL_COND(min_height > max_height);

	ERR_FAIL_COND(heights_buffer.size() != (width * depth));

	// If specified, min and max height will be used as precomputed values.
	_setup(heights_buffer, width, depth, min_height, max_height);
}

Variant HeightMapShapeSW::get_data() const {
	Dictionary d;
	d["width"] = width;
	d["depth"] = depth;

	const AABB &aabb = get_aabb();
	d["min_height"] = aabb.position.y;
	d["max_height"] = aabb.position.y + aabb.size.y;

	d["heights"] = heights;

	return d;
}

HeightMapShapeSW::HeightMapShapeSW() {
	width = 0;
	depth = 0;
}