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Cylinder support in Godot Physics 3D

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Cylinder collision detection uses a mix of SAT and GJKEPA.
GJKEPA is used to find the best separation axis in cases where finding
it analytically is too complex.

Changes in SAT solver:
Added support for generating separation axes for cylinder shape.
Added support for generating contact points with circle feature.

Changes in GJKEPA solver:
Updated from latest Bullet version which includes EPA fixes in some
scenarios.
Setting a lower EPA_ACCURACY to fix accuracy problems with cylinder vs.
cylinder in some cases.
This commit is contained in:
PouleyKetchoupp 2021-02-09 11:25:29 -07:00
parent 1808f1d76d
commit 333f184734
8 changed files with 1077 additions and 82 deletions
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5
COPYRIGHT.txt
View File

@ -72,6 +72,11 @@ Copyright: 2008-2016, The Android Open Source Project
2002, Google, Inc.
License: Apache-2.0
Files: ./servers/physics_3d/collision_solver_3d_sat.cpp
Comment: Open Dynamics Engine
Copyright: 2001-2003, Russell L. Smith, Alen Ladavac, Nguyen Binh
License: BSD-3-clause
Files: ./servers/physics_3d/gjk_epa.cpp
./servers/physics_3d/joints/generic_6dof_joint_3d_sw.cpp
./servers/physics_3d/joints/generic_6dof_joint_3d_sw.h

33
core/math/geometry_3d.h
View File

@ -252,27 +252,34 @@ public:
return true;
}
static inline bool segment_intersects_cylinder(const Vector3 &p_from, const Vector3 &p_to, real_t p_height, real_t p_radius, Vector3 *r_res = nullptr, Vector3 *r_norm = nullptr) {
static inline bool segment_intersects_cylinder(const Vector3 &p_from, const Vector3 &p_to, real_t p_height, real_t p_radius, Vector3 *r_res = nullptr, Vector3 *r_norm = nullptr, int p_cylinder_axis = 2) {
Vector3 rel = (p_to - p_from);
real_t rel_l = rel.length();
if (rel_l < CMP_EPSILON) {
return false; // Both points are the same.
}
ERR_FAIL_COND_V(p_cylinder_axis < 0, false);
ERR_FAIL_COND_V(p_cylinder_axis > 2, false);
Vector3 cylinder_axis;
cylinder_axis[p_cylinder_axis] = 1.0;
// First check if they are parallel.
Vector3 normal = (rel / rel_l);
Vector3 crs = normal.cross(Vector3(0, 0, 1));
Vector3 crs = normal.cross(cylinder_axis);
real_t crs_l = crs.length();
Vector3 z_dir;
Vector3 axis_dir;
if (crs_l < CMP_EPSILON) {
z_dir = Vector3(1, 0, 0); // Any x/y vector OK.
Vector3 side_axis;
side_axis[(p_cylinder_axis + 1) % 3] = 1.0; // Any side axis OK.
axis_dir = side_axis;
} else {
z_dir = crs / crs_l;
axis_dir = crs / crs_l;
}
real_t dist = z_dir.dot(p_from);
real_t dist = axis_dir.dot(p_from);
if (dist >= p_radius) {
return false; // Too far away.
@ -285,10 +292,10 @@ public:
}
Size2 size(Math::sqrt(w2), p_height * 0.5);
Vector3 x_dir = z_dir.cross(Vector3(0, 0, 1)).normalized();
Vector3 side_dir = axis_dir.cross(cylinder_axis).normalized();
Vector2 from2D(x_dir.dot(p_from), p_from.z);
Vector2 to2D(x_dir.dot(p_to), p_to.z);
Vector2 from2D(side_dir.dot(p_from), p_from[p_cylinder_axis]);
Vector2 to2D(side_dir.dot(p_to), p_to[p_cylinder_axis]);
real_t min = 0, max = 1;
@ -335,10 +342,12 @@ public:
Vector3 res_normal = result;
if (axis == 0) {
res_normal.z = 0;
res_normal[p_cylinder_axis] = 0;
} else {
res_normal.x = 0;
res_normal.y = 0;
int axis_side = (p_cylinder_axis + 1) % 3;
res_normal[axis_side] = 0;
axis_side = (axis_side + 1) % 3;
res_normal[axis_side] = 0;
}
res_normal.normalize();

710
servers/physics_3d/collision_solver_3d_sat.cpp
View File

@ -31,7 +31,38 @@
#include "collision_solver_3d_sat.h"
#include "core/math/geometry_3d.h"
#define _EDGE_IS_VALID_SUPPORT_THRESHOLD 0.02
#include "gjk_epa.h"
#define fallback_collision_solver gjk_epa_calculate_penetration
// Cylinder SAT analytic methods for Cylinder-trimesh and Cylinder-box are based on ODE colliders.
/*
* Cylinder-trimesh and Cylinder-box colliders by Alen Ladavac
* Ported to ODE by Nguyen Binh
*/
/*************************************************************************
* *
* Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. *
* All rights reserved. Email: russ@q12.org Web: www.q12.org *
* *
* This library is free software; you can redistribute it and/or *
* modify it under the terms of EITHER: *
* (1) The GNU Lesser General Public License as published by the Free *
* Software Foundation; either version 2.1 of the License, or (at *
* your option) any later version. The text of the GNU Lesser *
* General Public License is included with this library in the *
* file LICENSE.TXT. *
* (2) The BSD-style license that is included with this library in *
* the file LICENSE-BSD.TXT. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files *
* LICENSE.TXT and LICENSE-BSD.TXT for more details. *
* *
*************************************************************************/
struct _CollectorCallback {
CollisionSolver3DSW::CallbackResult callback;
@ -82,6 +113,36 @@ static void _generate_contacts_point_face(const Vector3 *p_points_A, int p_point
p_callback->call(*p_points_A, closest_B);
}
static void _generate_contacts_point_circle(const Vector3 *p_points_A, int p_point_count_A, const Vector3 *p_points_B, int p_point_count_B, _CollectorCallback *p_callback) {
#ifdef DEBUG_ENABLED
ERR_FAIL_COND(p_point_count_A != 1);
ERR_FAIL_COND(p_point_count_B != 3);
#endif
const Vector3 &point_A = p_points_A[0];
const Vector3 &circle_B_pos = p_points_B[0];
Vector3 circle_B_line_1 = p_points_B[1] - circle_B_pos;
Vector3 circle_B_line_2 = p_points_B[2] - circle_B_pos;
real_t circle_B_radius = circle_B_line_1.length();
Vector3 circle_B_normal = circle_B_line_1.cross(circle_B_line_2).normalized();
// Project point onto Circle B plane.
Plane circle_plane(circle_B_pos, circle_B_normal);
Vector3 proj_point_A = circle_plane.project(point_A);
// Clip point.
Vector3 delta_point_1 = proj_point_A - circle_B_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_A = circle_B_pos + delta_point_1 * MIN(dist_point_1, circle_B_radius) / dist_point_1;
}
p_callback->call(point_A, proj_point_A);
}
static void _generate_contacts_edge_edge(const Vector3 *p_points_A, int p_point_count_A, const Vector3 *p_points_B, int p_point_count_B, _CollectorCallback *p_callback) {
#ifdef DEBUG_ENABLED
ERR_FAIL_COND(p_point_count_A != 2);
@ -217,36 +278,319 @@ static void _generate_contacts_face_face(const Vector3 *p_points_A, int p_point_
}
}
static void _generate_contacts_from_supports(const Vector3 *p_points_A, int p_point_count_A, const Vector3 *p_points_B, int p_point_count_B, _CollectorCallback *p_callback) {
static void _generate_contacts_face_circle(const Vector3 *p_points_A, int p_point_count_A, const Vector3 *p_points_B, int p_point_count_B, _CollectorCallback *p_callback) {
#ifdef DEBUG_ENABLED
ERR_FAIL_COND(p_point_count_A < 2);
ERR_FAIL_COND(p_point_count_B != 3);
#endif
const Vector3 &circle_B_pos = p_points_B[0];
Vector3 circle_B_line_1 = p_points_B[1] - circle_B_pos;
Vector3 circle_B_line_2 = p_points_B[2] - circle_B_pos;
real_t circle_B_radius = circle_B_line_1.length();
Vector3 circle_B_normal = circle_B_line_1.cross(circle_B_line_2).normalized();
Plane circle_plane(circle_B_pos, circle_B_normal);
bool edge = (p_point_count_A == 2);
static const int max_clip = 32;
Vector3 contact_points[max_clip];
int num_points = 0;
// Clip edges with circle.
for (int i = 0; i < p_point_count_A; i++) {
int i_n = (i + 1) % p_point_count_A;
// Project edge point in circle plane.
const Vector3 &edge_A_1 = p_points_A[i];
Vector3 proj_point_1 = circle_plane.project(edge_A_1);
Vector3 dist_vec = proj_point_1 - circle_B_pos;
real_t dist_sq = dist_vec.length_squared();
// Point 1 is inside disk, add as contact point.
if (dist_sq <= circle_B_radius * circle_B_radius) {
//p_callback->call(edge_A_1, proj_point_1);
ERR_FAIL_COND(num_points >= max_clip);
contact_points[num_points] = edge_A_1;
++num_points;
}
// No need to test point 2 now, as it will be part of the next edge.
if (edge && i > 0) {
// Done with testing the only two points.
break;
}
// Project edge point in circle plane.
const Vector3 &edge_A_2 = p_points_A[i_n];
Vector3 proj_point_2 = circle_plane.project(edge_A_2);
Vector3 line_vec = proj_point_2 - proj_point_1;
real_t line_length_sq = line_vec.length_squared();
// Create a quadratic formula of the form ax^2 + bx + c = 0
real_t a, b, c;
a = line_length_sq;
b = 2.0 * dist_vec.dot(line_vec);
c = dist_sq - circle_B_radius * circle_B_radius;
// Solve for t.
real_t sqrtterm = b * b - 4.0 * a * c;
// If the term we intend to square root is less than 0 then the answer won't be real,
// so the line doesn't intersect.
if (sqrtterm < 0) {
continue;
}
sqrtterm = Math::sqrt(sqrtterm);
Vector3 edge_dir = edge_A_2 - edge_A_1;
real_t fraction_1 = (-b - sqrtterm) / (2.0 * a);
if ((fraction_1 > 0.0) && (fraction_1 < 1.0)) {
//Vector3 intersection_1 = proj_point_1 + fraction_1 * line_vec;
Vector3 face_point_1 = edge_A_1 + fraction_1 * edge_dir;
//p_callback->call(face_point_1, intersection_1);
ERR_FAIL_COND(num_points >= max_clip);
contact_points[num_points] = face_point_1;
++num_points;
}
real_t fraction_2 = (-b + sqrtterm) / (2.0 * a);
if ((fraction_2 > 0.0) && (fraction_2 < 1.0) && !Math::is_equal_approx(fraction_1, fraction_2)) {
//Vector3 intersection_2 = proj_point_1 + fraction_2 * line_vec;
Vector3 face_point_2 = edge_A_1 + fraction_2 * edge_dir;
//p_callback->call(face_point_2, intersection_2);
ERR_FAIL_COND(num_points >= max_clip);
contact_points[num_points] = face_point_2;
++num_points;
}
}
// In case of a face, add extra contact points for proper support.
if (!edge) {
Plane plane_A(p_points_A[0], p_points_A[1], p_points_A[2]);
if (num_points < 3) {
if (num_points == 0) {
// Use 3 arbitrary equidistant points from the circle.
for (int i = 0; i < 3; ++i) {
Vector3 circle_point = circle_B_pos;
circle_point += circle_B_line_1 * Math::cos(2.0 * Math_PI * i / 3.0);
circle_point += circle_B_line_2 * Math::sin(2.0 * Math_PI * i / 3.0);
Vector3 face_point = plane_A.project(circle_point);
contact_points[num_points] = face_point;
++num_points;
}
} else if (num_points == 1) {
Vector3 line_center = circle_B_pos - contact_points[0];
Vector3 line_tangent = line_center.cross(plane_A.normal);
Vector3 dir = line_tangent.cross(plane_A.normal).normalized();
if (line_center.dot(dir) > 0.0) {
// Use 2 equidistant points on the circle inside the face.
line_center.normalize();
line_tangent.normalize();
for (int i = 0; i < 2; ++i) {
Vector3 circle_point = circle_B_pos;
circle_point -= line_center * circle_B_radius * Math::cos(2.0 * Math_PI * (i + 1) / 3.0);
circle_point += line_tangent * circle_B_radius * Math::sin(2.0 * Math_PI * (i + 1) / 3.0);
Vector3 face_point = plane_A.project(circle_point);
contact_points[num_points] = face_point;
++num_points;
}
}
// Otherwise the circle touches an edge from the outside, no extra contact point.
} else { // if (num_points == 2)
// Use equidistant 3rd point on the circle inside the face.
Vector3 contacts_line = contact_points[1] - contact_points[0];
Vector3 dir = contacts_line.cross(plane_A.normal).normalized();
Vector3 circle_point = contact_points[0] + 0.5 * contacts_line;
Vector3 line_center = (circle_B_pos - circle_point);
if (line_center.dot(dir) > 0.0) {
circle_point += dir * (line_center.length() + circle_B_radius);
} else {
circle_point += dir * (circle_B_radius - line_center.length());
}
Vector3 face_point = plane_A.project(circle_point);
contact_points[num_points] = face_point;
++num_points;
}
}
}
// Generate contact points.
for (int i = 0; i < num_points; i++) {
const Vector3 &contact_point_A = contact_points[i];
real_t d = circle_plane.distance_to(contact_point_A);
Vector3 closest_B = contact_point_A - circle_plane.normal * d;
if (p_callback->normal.dot(contact_point_A) >= p_callback->normal.dot(closest_B)) {
continue;
}
p_callback->call(contact_point_A, closest_B);
}
}
static void _generate_contacts_circle_circle(const Vector3 *p_points_A, int p_point_count_A, const Vector3 *p_points_B, int p_point_count_B, _CollectorCallback *p_callback) {
#ifdef DEBUG_ENABLED
ERR_FAIL_COND(p_point_count_A != 3);
ERR_FAIL_COND(p_point_count_B != 3);
#endif
const Vector3 &circle_A_pos = p_points_A[0];
Vector3 circle_A_line_1 = p_points_A[1] - circle_A_pos;
Vector3 circle_A_line_2 = p_points_A[2] - circle_A_pos;
real_t circle_A_radius = circle_A_line_1.length();
Vector3 circle_A_normal = circle_A_line_1.cross(circle_A_line_2).normalized();
const Vector3 &circle_B_pos = p_points_B[0];
Vector3 circle_B_line_1 = p_points_B[1] - circle_B_pos;
Vector3 circle_B_line_2 = p_points_B[2] - circle_B_pos;
real_t circle_B_radius = circle_B_line_1.length();
Vector3 circle_B_normal = circle_B_line_1.cross(circle_B_line_2).normalized();
static const int max_clip = 4;
Vector3 contact_points[max_clip];
int num_points = 0;
Vector3 centers_diff = circle_B_pos - circle_A_pos;
Vector3 norm_proj = circle_A_normal.dot(centers_diff) * circle_A_normal;
Vector3 comp_proj = centers_diff - norm_proj;
real_t proj_dist = comp_proj.length();
if (!Math::is_zero_approx(proj_dist)) {
comp_proj /= proj_dist;
if ((proj_dist > circle_A_radius - circle_B_radius) && (proj_dist > circle_B_radius - circle_A_radius)) {
// Circles are overlapping, use the 2 points of intersection as contacts.
real_t radius_a_sqr = circle_A_radius * circle_A_radius;
real_t radius_b_sqr = circle_B_radius * circle_B_radius;
real_t d_sqr = proj_dist * proj_dist;
real_t s = (1.0 + (radius_a_sqr - radius_b_sqr) / d_sqr) * 0.5;
real_t h = Math::sqrt(MAX(radius_a_sqr - d_sqr * s * s, 0.0));
Vector3 midpoint = circle_A_pos + s * comp_proj * proj_dist;
Vector3 h_vec = h * circle_A_normal.cross(comp_proj);
Vector3 point_A = midpoint + h_vec;
contact_points[num_points] = point_A;
++num_points;
point_A = midpoint - h_vec;
contact_points[num_points] = point_A;
++num_points;
// Add 2 points from circle A and B along the line between the centers.
point_A = circle_A_pos + comp_proj * circle_A_radius;
contact_points[num_points] = point_A;
++num_points;
point_A = circle_B_pos - comp_proj * circle_B_radius - norm_proj;
contact_points[num_points] = point_A;
++num_points;
} // Otherwise one circle is inside the other one, use 3 arbitrary equidistant points.
} // Otherwise circles are concentric, use 3 arbitrary equidistant points.
if (num_points == 0) {
// Generate equidistant points.
if (circle_A_radius < circle_B_radius) {
// Circle A inside circle B.
for (int i = 0; i < 3; ++i) {
Vector3 circle_A_point = circle_A_pos;
circle_A_point += circle_A_line_1 * Math::cos(2.0 * Math_PI * i / 3.0);
circle_A_point += circle_A_line_2 * Math::sin(2.0 * Math_PI * i / 3.0);
contact_points[num_points] = circle_A_point;
++num_points;
}
} else {
// Circle B inside circle A.
for (int i = 0; i < 3; ++i) {
Vector3 circle_B_point = circle_B_pos;
circle_B_point += circle_B_line_1 * Math::cos(2.0 * Math_PI * i / 3.0);
circle_B_point += circle_B_line_2 * Math::sin(2.0 * Math_PI * i / 3.0);
Vector3 circle_A_point = circle_B_point - norm_proj;
contact_points[num_points] = circle_A_point;
++num_points;
}
}
}
Plane circle_B_plane(circle_B_pos, circle_B_normal);
// Generate contact points.
for (int i = 0; i < num_points; i++) {
const Vector3 &contact_point_A = contact_points[i];
real_t d = circle_B_plane.distance_to(contact_point_A);
Vector3 closest_B = contact_point_A - circle_B_plane.normal * d;
if (p_callback->normal.dot(contact_point_A) >= p_callback->normal.dot(closest_B)) {
continue;
}
p_callback->call(contact_point_A, closest_B);
}
}
static void _generate_contacts_from_supports(const Vector3 *p_points_A, int p_point_count_A, Shape3DSW::FeatureType p_feature_type_A, const Vector3 *p_points_B, int p_point_count_B, Shape3DSW::FeatureType p_feature_type_B, _CollectorCallback *p_callback) {
#ifdef DEBUG_ENABLED
ERR_FAIL_COND(p_point_count_A < 1);
ERR_FAIL_COND(p_point_count_B < 1);
#endif
static const GenerateContactsFunc generate_contacts_func_table[3][3] = {
static const GenerateContactsFunc generate_contacts_func_table[4][4] = {
{
_generate_contacts_point_point,
_generate_contacts_point_edge,
_generate_contacts_point_face,
_generate_contacts_point_circle,
},
{
nullptr,
_generate_contacts_edge_edge,
_generate_contacts_face_face,
_generate_contacts_face_circle,
},
{
nullptr,
nullptr,
_generate_contacts_face_face,
}
_generate_contacts_face_circle,
},
{
nullptr,
nullptr,
nullptr,
_generate_contacts_circle_circle,
},
};
int pointcount_B;
int pointcount_A;
const Vector3 *points_A;
const Vector3 *points_B;
int version_A;
int version_B;
if (p_point_count_A > p_point_count_B) {
if (p_feature_type_A > p_feature_type_B) {
//swap
p_callback->swap = !p_callback->swap;
p_callback->normal = -p_callback->normal;
@ -255,16 +599,17 @@ static void _generate_contacts_from_supports(const Vector3 *p_points_A, int p_po
pointcount_A = p_point_count_B;
points_A = p_points_B;
points_B = p_points_A;
version_A = p_feature_type_B;
version_B = p_feature_type_A;
} else {
pointcount_B = p_point_count_B;
pointcount_A = p_point_count_A;
points_A = p_points_A;
points_B = p_points_B;
version_A = p_feature_type_A;
version_B = p_feature_type_B;
}
int version_A = (pointcount_A > 3 ? 3 : pointcount_A) - 1;
int version_B = (pointcount_B > 3 ? 3 : pointcount_B) - 1;
GenerateContactsFunc contacts_func = generate_contacts_func_table[version_A][version_B];
ERR_FAIL_COND(!contacts_func);
contacts_func(points_A, pointcount_A, points_B, pointcount_B, p_callback);
@ -346,6 +691,17 @@ public:
return true;
}
static _FORCE_INLINE_ void test_contact_points(const Vector3 &p_point_A, const Vector3 &p_point_B, void *p_userdata) {
SeparatorAxisTest<ShapeA, ShapeB, withMargin> *separator = (SeparatorAxisTest<ShapeA, ShapeB, withMargin> *)p_userdata;
Vector3 axis = (p_point_B - p_point_A);
real_t depth = axis.length();
// Filter out bogus directions with a treshold and re-testing axis.
if (separator->best_depth - depth > 0.001) {
separator->test_axis(axis / depth);
}
}
_FORCE_INLINE_ void generate_contacts() {
// nothing to do, don't generate
if (best_axis == Vector3(0.0, 0.0, 0.0)) {
@ -365,7 +721,8 @@ public:
Vector3 supports_A[max_supports];
int support_count_A;
shape_A->get_supports(transform_A->basis.xform_inv(-best_axis).normalized(), max_supports, supports_A, support_count_A);
Shape3DSW::FeatureType support_type_A;
shape_A->get_supports(transform_A->basis.xform_inv(-best_axis).normalized(), max_supports, supports_A, support_count_A, support_type_A);
for (int i = 0; i < support_count_A; i++) {
supports_A[i] = transform_A->xform(supports_A[i]);
}
@ -378,7 +735,8 @@ public:
Vector3 supports_B[max_supports];
int support_count_B;
shape_B->get_supports(transform_B->basis.xform_inv(best_axis).normalized(), max_supports, supports_B, support_count_B);
Shape3DSW::FeatureType support_type_B;
shape_B->get_supports(transform_B->basis.xform_inv(best_axis).normalized(), max_supports, supports_B, support_count_B, support_type_B);
for (int i = 0; i < support_count_B; i++) {
supports_B[i] = transform_B->xform(supports_B[i]);
}
@ -393,7 +751,7 @@ public:
if (callback->prev_axis) {
*callback->prev_axis = best_axis;
}
_generate_contacts_from_supports(supports_A, support_count_A, supports_B, support_count_B, callback);
_generate_contacts_from_supports(supports_A, support_count_A, support_type_A, supports_B, support_count_B, support_type_B, callback);
callback->collided = true;
}
@ -529,6 +887,61 @@ static void _collision_sphere_capsule(const Shape3DSW *p_a, const Transform &p_t
template <bool withMargin>
static void _collision_sphere_cylinder(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const SphereShape3DSW *sphere_A = static_cast<const SphereShape3DSW *>(p_a);
const CylinderShape3DSW *cylinder_B = static_cast<const CylinderShape3DSW *>(p_b);
SeparatorAxisTest<SphereShape3DSW, CylinderShape3DSW, withMargin> separator(sphere_A, p_transform_a, cylinder_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
if (!separator.test_previous_axis()) {
return;
}
// Cylinder B end caps.
Vector3 cylinder_B_axis = p_transform_b.basis.get_axis(1).normalized();
if (!separator.test_axis(cylinder_B_axis)) {
return;
}
Vector3 cylinder_diff = p_transform_b.origin - p_transform_a.origin;
// Cylinder B lateral surface.
if (!separator.test_axis(cylinder_B_axis.cross(cylinder_diff).cross(cylinder_B_axis).normalized())) {
return;
}
// Closest point to cylinder caps.
const Vector3 &sphere_center = p_transform_a.origin;
Vector3 cyl_axis = p_transform_b.basis.get_axis(1);
Vector3 cap_axis = p_transform_b.basis.get_axis(0);
real_t height_scale = cyl_axis.length();
real_t cap_dist = cylinder_B->get_height() * 0.5 * height_scale;
cyl_axis /= height_scale;
real_t radius_scale = cap_axis.length();
real_t cap_radius = cylinder_B->get_radius() * radius_scale;
for (int i = 0; i < 2; i++) {
Vector3 cap_dir = ((i == 0) ? cyl_axis : -cyl_axis);
Vector3 cap_pos = p_transform_b.origin + cap_dir * cap_dist;
Vector3 closest_point;
Vector3 diff = sphere_center - cap_pos;
Vector3 proj = diff - cap_dir.dot(diff) * cap_dir;
real_t proj_len = proj.length();
if (Math::is_zero_approx(proj_len)) {
// Point is equidistant to all circle points.
continue;
}
closest_point = cap_pos + (cap_radius / proj_len) * proj;
if (!separator.test_axis((closest_point - sphere_center).normalized())) {
return;
}
}
separator.generate_contacts();
}
template <bool withMargin>
@ -739,7 +1152,7 @@ static void _collision_box_capsule(const Shape3DSW *p_a, const Transform &p_tran
// faces of A
for (int i = 0; i < 3; i++) {
Vector3 axis = p_transform_a.basis.get_axis(i);
Vector3 axis = p_transform_a.basis.get_axis(i).normalized();
if (!separator.test_axis(axis)) {
return;
@ -826,6 +1239,115 @@ static void _collision_box_capsule(const Shape3DSW *p_a, const Transform &p_tran
template <bool withMargin>
static void _collision_box_cylinder(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const BoxShape3DSW *box_A = static_cast<const BoxShape3DSW *>(p_a);
const CylinderShape3DSW *cylinder_B = static_cast<const CylinderShape3DSW *>(p_b);
SeparatorAxisTest<BoxShape3DSW, CylinderShape3DSW, withMargin> separator(box_A, p_transform_a, cylinder_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
if (!separator.test_previous_axis()) {
return;
}
// Faces of A.
for (int i = 0; i < 3; i++) {
Vector3 axis = p_transform_a.basis.get_axis(i).normalized();
if (!separator.test_axis(axis)) {
return;
}
}
Vector3 cyl_axis = p_transform_b.basis.get_axis(1).normalized();
// Cylinder end caps.
{
if (!separator.test_axis(cyl_axis)) {
return;
}
}
// Edges of A, cylinder lateral surface.
for (int i = 0; i < 3; i++) {
Vector3 box_axis = p_transform_a.basis.get_axis(i);
Vector3 axis = box_axis.cross(cyl_axis);
if (Math::is_zero_approx(axis.length_squared())) {
continue;
}
if (!separator.test_axis(axis.normalized())) {
return;
}
}
// Gather points of A.
Vector3 vertices_A[8];
Vector3 box_extent = box_A->get_half_extents();
for (int i = 0; i < 2; i++) {
for (int j = 0; j < 2; j++) {
for (int k = 0; k < 2; k++) {
Vector3 extent = box_extent;
extent.x *= (i * 2 - 1);
extent.y *= (j * 2 - 1);
extent.z *= (k * 2 - 1);
Vector3 &point = vertices_A[i * 2 * 2 + j * 2 + k];
point = p_transform_a.origin;
for (int l = 0; l < 3; l++) {
point += p_transform_a.basis.get_axis(l) * extent[l];
}
}
}
}
// Points of A, cylinder lateral surface.
for (int i = 0; i < 8; i++) {
const Vector3 &point = vertices_A[i];
Vector3 axis = Plane(cyl_axis, 0).project(point).normalized();
if (!separator.test_axis(axis)) {
return;
}
}
// Edges of A, cylinder end caps rim.
int edges_start_A[12] = { 0, 2, 4, 6, 0, 1, 4, 5, 0, 1, 2, 3 };
int edges_end_A[12] = { 1, 3, 5, 7, 2, 3, 6, 7, 4, 5, 6, 7 };
Vector3 cap_axis = cyl_axis * (cylinder_B->get_height() * 0.5);
for (int i = 0; i < 2; i++) {
Vector3 cap_pos = p_transform_b.origin + ((i == 0) ? cap_axis : -cap_axis);
for (int e = 0; e < 12; e++) {
const Vector3 &edge_start = vertices_A[edges_start_A[e]];
const Vector3 &edge_end = vertices_A[edges_end_A[e]];
Vector3 edge_dir = (edge_end - edge_start);
edge_dir.normalize();
real_t edge_dot = edge_dir.dot(cyl_axis);
if (Math::is_zero_approx(edge_dot)) {
// Edge is perpendicular to cylinder axis.
continue;
}
// Calculate intersection between edge and circle plane.
Vector3 edge_diff = cap_pos - edge_start;
real_t diff_dot = edge_diff.dot(cyl_axis);
Vector3 intersection = edge_start + edge_dir * diff_dot / edge_dot;
// Calculate tangent that touches intersection.
Vector3 tangent = (cap_pos - intersection).cross(cyl_axis);
// Axis is orthogonal both to tangent and edge direction.
Vector3 axis = tangent.cross(edge_dir);
if (!separator.test_axis(axis.normalized())) {
return;
}
}
}
separator.generate_contacts();
}
template <bool withMargin>
@ -1111,6 +1633,19 @@ static void _collision_capsule_capsule(const Shape3DSW *p_a, const Transform &p_
template <bool withMargin>
static void _collision_capsule_cylinder(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const CapsuleShape3DSW *capsule_A = static_cast<const CapsuleShape3DSW *>(p_a);
const CylinderShape3DSW *cylinder_B = static_cast<const CylinderShape3DSW *>(p_b);
SeparatorAxisTest<CapsuleShape3DSW, CylinderShape3DSW, withMargin> separator(capsule_A, p_transform_a, cylinder_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
CollisionSolver3DSW::CallbackResult callback = SeparatorAxisTest<CapsuleShape3DSW, CylinderShape3DSW, withMargin>::test_contact_points;
// Fallback to generic algorithm to find the best separating axis.
if (!fallback_collision_solver(p_a, p_transform_a, p_b, p_transform_b, callback, &separator)) {
return;
}
separator.generate_contacts();
}
template <bool withMargin>
@ -1236,14 +1771,165 @@ static void _collision_capsule_face(const Shape3DSW *p_a, const Transform &p_tra
template <bool withMargin>
static void _collision_cylinder_cylinder(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const CylinderShape3DSW *cylinder_A = static_cast<const CylinderShape3DSW *>(p_a);
const CylinderShape3DSW *cylinder_B = static_cast<const CylinderShape3DSW *>(p_b);
SeparatorAxisTest<CylinderShape3DSW, CylinderShape3DSW, withMargin> separator(cylinder_A, p_transform_a, cylinder_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
Vector3 cylinder_A_axis = p_transform_a.basis.get_axis(1);
Vector3 cylinder_B_axis = p_transform_b.basis.get_axis(1);
if (!separator.test_previous_axis()) {
return;
}
// Cylinder A end caps.
if (!separator.test_axis(cylinder_A_axis.normalized())) {
return;
}
// Cylinder B end caps.
if (!separator.test_axis(cylinder_A_axis.normalized())) {
return;
}
Vector3 cylinder_diff = p_transform_b.origin - p_transform_a.origin;
// Cylinder A lateral surface.
if (!separator.test_axis(cylinder_A_axis.cross(cylinder_diff).cross(cylinder_A_axis).normalized())) {
return;
}
// Cylinder B lateral surface.
if (!separator.test_axis(cylinder_B_axis.cross(cylinder_diff).cross(cylinder_B_axis).normalized())) {
return;
}
real_t proj = cylinder_A_axis.cross(cylinder_B_axis).cross(cylinder_B_axis).dot(cylinder_A_axis);
if (Math::is_zero_approx(proj)) {
// Parallel cylinders, handle with specific axes only.
// Note: GJKEPA with no margin can lead to degenerate cases in this situation.
separator.generate_contacts();
return;
}
CollisionSolver3DSW::CallbackResult callback = SeparatorAxisTest<CylinderShape3DSW, CylinderShape3DSW, withMargin>::test_contact_points;
// Fallback to generic algorithm to find the best separating axis.
if (!fallback_collision_solver(p_a, p_transform_a, p_b, p_transform_b, callback, &separator)) {
return;
}
separator.generate_contacts();
}
template <bool withMargin>
static void _collision_cylinder_convex_polygon(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const CylinderShape3DSW *cylinder_A = static_cast<const CylinderShape3DSW *>(p_a);
const ConvexPolygonShape3DSW *convex_polygon_B = static_cast<const ConvexPolygonShape3DSW *>(p_b);
SeparatorAxisTest<CylinderShape3DSW, ConvexPolygonShape3DSW, withMargin> separator(cylinder_A, p_transform_a, convex_polygon_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
CollisionSolver3DSW::CallbackResult callback = SeparatorAxisTest<CylinderShape3DSW, ConvexPolygonShape3DSW, withMargin>::test_contact_points;
// Fallback to generic algorithm to find the best separating axis.
if (!fallback_collision_solver(p_a, p_transform_a, p_b, p_transform_b, callback, &separator)) {
return;
}
separator.generate_contacts();
}
template <bool withMargin>
static void _collision_cylinder_face(const Shape3DSW *p_a, const Transform &p_transform_a, const Shape3DSW *p_b, const Transform &p_transform_b, _CollectorCallback *p_collector, real_t p_margin_a, real_t p_margin_b) {
const CylinderShape3DSW *cylinder_A = static_cast<const CylinderShape3DSW *>(p_a);
const FaceShape3DSW *face_B = static_cast<const FaceShape3DSW *>(p_b);
SeparatorAxisTest<CylinderShape3DSW, FaceShape3DSW, withMargin> separator(cylinder_A, p_transform_a, face_B, p_transform_b, p_collector, p_margin_a, p_margin_b);
if (!separator.test_previous_axis()) {
return;
}
Vector3 vertex[3] = {
p_transform_b.xform(face_B->vertex[0]),
p_transform_b.xform(face_B->vertex[1]),
p_transform_b.xform(face_B->vertex[2]),
};
// Face B normal.
if (!separator.test_axis((vertex[0] - vertex[2]).cross(vertex[0] - vertex[1]).normalized())) {
return;
}
Vector3 cyl_axis = p_transform_a.basis.get_axis(1).normalized();
// Cylinder end caps.
{
if (!separator.test_axis(cyl_axis)) {
return;
}
}
// Edges of B, cylinder lateral surface.
for (int i = 0; i < 3; i++) {
Vector3 edge_axis = vertex[i] - vertex[(i + 1) % 3];
Vector3 axis = edge_axis.cross(cyl_axis);
if (Math::is_zero_approx(axis.length_squared())) {
continue;
}
if (!separator.test_axis(axis.normalized())) {
return;
}
}
// Points of B, cylinder lateral surface.
for (int i = 0; i < 3; i++) {
const Vector3 &point = vertex[i];
Vector3 axis = Plane(cyl_axis, 0).project(point).normalized();
if (!separator.test_axis(axis)) {
return;
}
}
// Edges of B, cylinder end caps rim.
Vector3 cap_axis = cyl_axis * (cylinder_A->get_height() * 0.5);
for (int i = 0; i < 2; i++) {
Vector3 cap_pos = p_transform_a.origin + ((i == 0) ? cap_axis : -cap_axis);
for (int j = 0; j < 3; j++) {
const Vector3 &edge_start = vertex[j];
const Vector3 &edge_end = vertex[(j + 1) % 3];
Vector3 edge_dir = edge_end - edge_start;
edge_dir.normalize();
real_t edge_dot = edge_dir.dot(cyl_axis);
if (Math::is_zero_approx(edge_dot)) {
// Edge is perpendicular to cylinder axis.
continue;
}
// Calculate intersection between edge and circle plane.
Vector3 edge_diff = cap_pos - edge_start;
real_t diff_dot = edge_diff.dot(cyl_axis);
Vector3 intersection = edge_start + edge_dir * diff_dot / edge_dot;
// Calculate tangent that touches intersection.
Vector3 tangent = (cap_pos - intersection).cross(cyl_axis);
// Axis is orthogonal both to tangent and edge direction.
Vector3 axis = tangent.cross(edge_dir);
if (!separator.test_axis(axis.normalized())) {
return;
}
}
}
separator.generate_contacts();
}
template <bool withMargin>

37
servers/physics_3d/collision_solver_3d_sw.cpp
View File

@ -46,8 +46,24 @@ bool CollisionSolver3DSW::solve_static_plane(const Shape3DSW *p_shape_A, const T
static const int max_supports = 16;
Vector3 supports[max_supports];
int support_count;
Shape3DSW::FeatureType support_type;
p_shape_B->get_supports(p_transform_B.basis.xform_inv(-p.normal).normalized(), max_supports, supports, support_count, support_type);
p_shape_B->get_supports(p_transform_B.basis.xform_inv(-p.normal).normalized(), max_supports, supports, support_count);
if (support_type == Shape3DSW::FEATURE_CIRCLE) {
ERR_FAIL_COND_V(support_count != 3, false);
Vector3 circle_pos = supports[0];
Vector3 circle_axis_1 = supports[1] - circle_pos;
Vector3 circle_axis_2 = supports[2] - circle_pos;
// Use 3 equidistant points on the circle.
for (int i = 0; i < 3; ++i) {
Vector3 vertex_pos = circle_pos;
vertex_pos += circle_axis_1 * Math::cos(2.0 * Math_PI * i / 3.0);
vertex_pos += circle_axis_2 * Math::sin(2.0 * Math_PI * i / 3.0);
supports[i] = vertex_pos;
}
}
bool found = false;
@ -265,8 +281,25 @@ bool CollisionSolver3DSW::solve_distance_plane(const Shape3DSW *p_shape_A, const
static const int max_supports = 16;
Vector3 supports[max_supports];
int support_count;
Shape3DSW::FeatureType support_type;
p_shape_B->get_supports(p_transform_B.basis.xform_inv(-p.normal).normalized(), max_supports, supports, support_count);
p_shape_B->get_supports(p_transform_B.basis.xform_inv(-p.normal).normalized(), max_supports, supports, support_count, support_type);
if (support_type == Shape3DSW::FEATURE_CIRCLE) {
ERR_FAIL_COND_V(support_count != 3, false);
Vector3 circle_pos = supports[0];
Vector3 circle_axis_1 = supports[1] - circle_pos;
Vector3 circle_axis_2 = supports[2] - circle_pos;
// Use 3 equidistant points on the circle.
for (int i = 0; i < 3; ++i) {
Vector3 vertex_pos = circle_pos;
vertex_pos += circle_axis_1 * Math::cos(2.0 * Math_PI * i / 3.0);
vertex_pos += circle_axis_2 * Math::sin(2.0 * Math_PI * i / 3.0);
supports[i] = vertex_pos;
}
}
bool collided = false;
Vector3 closest;

99
servers/physics_3d/gjk_epa.cpp
View File

@ -64,7 +64,7 @@ GJK-EPA collision solver by Nathanael Presson, 2008
/* GJK */
#define GJK_MAX_ITERATIONS 128
#define GJK_ACCURARY ((real_t)0.0001)
#define GJK_ACCURACY ((real_t)0.0001)
#define GJK_MIN_DISTANCE ((real_t)0.0001)
#define GJK_DUPLICATED_EPS ((real_t)0.0001)
#define GJK_SIMPLEX2_EPS ((real_t)0.0)
@ -72,10 +72,13 @@ GJK-EPA collision solver by Nathanael Presson, 2008
#define GJK_SIMPLEX4_EPS ((real_t)0.0)
/* EPA */
#define EPA_MAX_VERTICES 64
#define EPA_MAX_VERTICES 128
#define EPA_MAX_FACES (EPA_MAX_VERTICES*2)
#define EPA_MAX_ITERATIONS 255
#define EPA_ACCURACY ((real_t)0.0001)
// -- GODOT start --
//#define EPA_ACCURACY ((real_t)0.0001)
#define EPA_ACCURACY ((real_t)0.00001)
// -- GODOT end --
#define EPA_FALLBACK (10*EPA_ACCURACY)
#define EPA_PLANE_EPS ((real_t)0.00001)
#define EPA_INSIDE_EPS ((real_t)0.01)
@ -237,7 +240,7 @@ struct GJK
/* Check for termination */
const real_t omega=vec3_dot(m_ray,w)/rl;
alpha=MAX(omega,alpha);
if(((rl-alpha)-(GJK_ACCURARY*rl))<=0)
if(((rl-alpha)-(GJK_ACCURACY*rl))<=0)
{/* Return old simplex */
removevertice(m_simplices[m_current]);
break;
@ -466,7 +469,7 @@ struct GJK
if(ng&&(Math::abs(vl)>GJK_SIMPLEX4_EPS))
{
real_t mindist=-1;
real_t subw[3];
real_t subw[3] = {0.f, 0.f, 0.f};
U subm=0;
for(U i=0;i<3;++i)
{
@ -512,7 +515,6 @@ struct GJK
{
Vector3 n;
real_t d;
real_t p;
sSV* c[3];
sFace* f[3];
sFace* l[2];
@ -661,8 +663,7 @@ struct GJK
remove(m_hull,best);
append(m_stock,best);
best=findbest();
if(best->p>=outer.p) { outer=*best;
}
outer=*best;
} else { m_status=eStatus::InvalidHull;break; }
} else { m_status=eStatus::AccuraryReached;break; }
} else { m_status=eStatus::OutOfVertices;break; }
@ -688,24 +689,54 @@ struct GJK
}
}
/* Fallback */
m_status = eStatus::FallBack;
m_normal = -guess;
const real_t nl=m_normal.length();
if(nl>0) {
m_normal = m_normal/nl;
m_status = eStatus::FallBack;
m_normal = -guess;
const real_t nl = m_normal.length();
if (nl > 0) {
m_normal = m_normal/nl;
} else {
m_normal = Vector3(1,0,0);
}
m_normal = Vector3(1,0,0);
}
m_depth = 0;
m_result.rank=1;
m_result.c[0]=simplex.c[0];
m_result.p[0]=1;
return(m_status);
}
bool getedgedist(sFace* face, sSV* a, sSV* b, real_t& dist)
{
const Vector3 ba = b->w - a->w;
const Vector3 n_ab = vec3_cross(ba, face->n); // Outward facing edge normal direction, on triangle plane
const real_t a_dot_nab = vec3_dot(a->w, n_ab); // Only care about the sign to determine inside/outside, so not normalization required
if (a_dot_nab < 0) {
// Outside of edge a->b
const real_t ba_l2 = ba.length_squared();
const real_t a_dot_ba = vec3_dot(a->w, ba);
const real_t b_dot_ba = vec3_dot(b->w, ba);
if (a_dot_ba > 0) {
// Pick distance vertex a
dist = a->w.length();
} else if (b_dot_ba < 0) {
// Pick distance vertex b
dist = b->w.length();
} else {
// Pick distance to edge a->b
const real_t a_dot_b = vec3_dot(a->w, b->w);
dist = Math::sqrt(MAX((a->w.length_squared() * b->w.length_squared() - a_dot_b * a_dot_b) / ba_l2, 0.0));
}
return true;
}
return false;
}
sFace* newface(sSV* a,sSV* b,sSV* c,bool forced)
{
if(m_stock.root)
{
if (m_stock.root) {
sFace* face=m_stock.root;
remove(m_stock,face);
append(m_hull,face);
@ -716,23 +747,23 @@ struct GJK
face->n = vec3_cross(b->w-a->w,c->w-a->w);
const real_t l=face->n.length();
const bool v=l>EPA_ACCURACY;
face->p = MIN(MIN(
vec3_dot(a->w,vec3_cross(face->n,a->w-b->w)),
vec3_dot(b->w,vec3_cross(face->n,b->w-c->w))),
vec3_dot(c->w,vec3_cross(face->n,c->w-a->w))) /
(v?l:1);
face->p = face->p>=-EPA_INSIDE_EPS?0:face->p;
if(v)
{
face->d = vec3_dot(a->w,face->n)/l;
if (v) {
if (!(getedgedist(face, a, b, face->d) ||
getedgedist(face, b, c, face->d) ||
getedgedist(face, c, a, face->d))) {
// Origin projects to the interior of the triangle
// Use distance to triangle plane
face->d = vec3_dot(a->w, face->n) / l;
}
face->n /= l;
if(forced||(face->d>=-EPA_PLANE_EPS))
{
if (forced||(face->d>=-EPA_PLANE_EPS)) {
return(face);
} else { m_status=eStatus::NonConvex;
}
} else { m_status=eStatus::Degenerated;
}
} else {
m_status=eStatus::NonConvex;
}
} else {
m_status=eStatus::Degenerated;
}
remove(m_hull,face);
append(m_stock,face);
return(nullptr);
@ -747,15 +778,13 @@ struct GJK
{
sFace* minf=m_hull.root;
real_t mind=minf->d*minf->d;
real_t maxp=minf->p;
for(sFace* f=minf->l[1];f;f=f->l[1])
{
const real_t sqd=f->d*f->d;
if((f->p>=maxp)&&(sqd<mind))
if(sqd<mind)
{
minf=f;
mind=sqd;
maxp=f->p;
}
}
return(minf);

5
servers/physics_3d/physics_server_3d_sw.cpp
View File

@ -74,7 +74,10 @@ RID PhysicsServer3DSW::capsule_shape_create() {
return rid;
}
RID PhysicsServer3DSW::cylinder_shape_create() {
ERR_FAIL_V(RID());
Shape3DSW *shape = memnew(CylinderShape3DSW);
RID rid = shape_owner.make_rid(shape);
shape->set_self(rid);
return rid;
}
RID PhysicsServer3DSW::convex_polygon_shape_create() {
Shape3DSW *shape = memnew(ConvexPolygonShape3DSW);

214
servers/physics_3d/shape_3d_sw.cpp
View File

@ -34,10 +34,12 @@
#include "core/math/quick_hull.h"
#include "core/templates/sort_array.h"
#define _POINT_SNAP 0.001953125
#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 Shape3DSW::configure(const AABB &p_aabb) {
aabb = p_aabb;
configured = true;
@ -50,7 +52,8 @@ void Shape3DSW::configure(const AABB &p_aabb) {
Vector3 Shape3DSW::get_support(const Vector3 &p_normal) const {
Vector3 res;
int amnt;
get_supports(p_normal, 1, &res, amnt);
FeatureType type;
get_supports(p_normal, 1, &res, amnt, type);
return res;
}
@ -167,16 +170,19 @@ Vector3 RayShape3DSW::get_support(const Vector3 &p_normal) const {
}
}
void RayShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void RayShape3DSW::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);
}
}
@ -246,9 +252,10 @@ Vector3 SphereShape3DSW::get_support(const Vector3 &p_normal) const {
return p_normal * radius;
}
void SphereShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void SphereShape3DSW::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 SphereShape3DSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {
@ -312,7 +319,7 @@ Vector3 BoxShape3DSW::get_support(const Vector3 &p_normal) const {
return point;
}
void BoxShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void BoxShape3DSW::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 };
@ -325,6 +332,7 @@ void BoxShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_s
bool neg = dot < 0;
r_amount = 4;
r_type = FEATURE_FACE;
Vector3 point;
point[i] = half_extents[i];
@ -362,6 +370,7 @@ void BoxShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_s
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];
@ -389,6 +398,7 @@ void BoxShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_s
(p_normal.z < 0) ? -half_extents.z : half_extents.z);
r_amount = 1;
r_type = FEATURE_POINT;
r_supports[0] = point;
}
@ -500,7 +510,7 @@ Vector3 CapsuleShape3DSW::get_support(const Vector3 &p_normal) const {
return n;
}
void CapsuleShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void CapsuleShape3DSW::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;
@ -512,6 +522,7 @@ void CapsuleShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3
n *= radius;
r_amount = 2;
r_type = FEATURE_EDGE;
r_supports[0] = n;
r_supports[0].z += height * 0.5;
r_supports[1] = n;
@ -523,6 +534,7 @@ void CapsuleShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3
n *= radius;
n.z += h * 0.5;
r_amount = 1;
r_type = FEATURE_POINT;
*r_supports = n;
}
}
@ -642,6 +654,186 @@ CapsuleShape3DSW::CapsuleShape3DSW() {
height = radius = 0;
}
/********** CYLINDER *************/
void CylinderShape3DSW::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 CylinderShape3DSW::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 CylinderShape3DSW::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 CylinderShape3DSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {
return Geometry3D::segment_intersects_cylinder(p_begin, p_end, height, radius, &r_result, &r_normal, 1);
}
bool CylinderShape3DSW::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 CylinderShape3DSW::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 = Geometry3D::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 CylinderShape3DSW::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.y * extents.y + extents.y * extents.y));
}
void CylinderShape3DSW::_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 CylinderShape3DSW::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 CylinderShape3DSW::get_data() const {
Dictionary d;
d["radius"] = radius;
d["height"] = height;
return d;
}
CylinderShape3DSW::CylinderShape3DSW() {
height = radius = 0;
}
/********** CONVEX POLYGON *************/
void ConvexPolygonShape3DSW::project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const {
@ -689,7 +881,7 @@ Vector3 ConvexPolygonShape3DSW::get_support(const Vector3 &p_normal) const {
return vrts[vert_support_idx];
}
void ConvexPolygonShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void ConvexPolygonShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const {
const Geometry3D::MeshData::Face *faces = mesh.faces.ptr();
int fc = mesh.faces.size();
@ -734,6 +926,7 @@ void ConvexPolygonShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Ve
r_supports[j] = vertices[ind[j]];
}
r_amount = m;
r_type = FEATURE_FACE;
return;
}
}
@ -743,6 +936,7 @@ void ConvexPolygonShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Ve
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;
@ -751,6 +945,7 @@ void ConvexPolygonShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Ve
r_supports[0] = vertices[vtx];
r_amount = 1;
r_type = FEATURE_POINT;
}
bool ConvexPolygonShape3DSW::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const {
@ -935,12 +1130,13 @@ Vector3 FaceShape3DSW::get_support(const Vector3 &p_normal) const {
return vertex[vert_support_idx];
}
void FaceShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const {
void FaceShape3DSW::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 (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];
}
@ -974,6 +1170,7 @@ void FaceShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_
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;
@ -981,6 +1178,7 @@ void FaceShape3DSW::get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_
}
r_amount = 1;
r_type = FEATURE_POINT;
r_supports[0] = vertex[vert_support_idx];
}

56
servers/physics_3d/shape_3d_sw.h
View File

@ -67,8 +67,11 @@ protected:
void configure(const AABB &p_aabb);
public:
enum {
MAX_SUPPORTS = 8
enum FeatureType {
FEATURE_POINT,
FEATURE_EDGE,
FEATURE_FACE,
FEATURE_CIRCLE,
};
virtual real_t get_area() const { return aabb.get_area(); }
@ -85,7 +88,7 @@ public:
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const = 0;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const = 0;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const = 0;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const = 0;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_point, Vector3 &r_normal) const = 0;
virtual bool intersect_point(const Vector3 &p_point) const = 0;
@ -110,7 +113,7 @@ class ConcaveShape3DSW : public Shape3DSW {
public:
virtual bool is_concave() const { return true; }
typedef void (*Callback)(void *p_userdata, Shape3DSW *p_convex);
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const { r_amount = 0; }
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const { r_amount = 0; }
virtual void cull(const AABB &p_local_aabb, Callback p_callback, void *p_userdata) const = 0;
@ -129,7 +132,7 @@ public:
virtual PhysicsServer3D::ShapeType get_type() const { return PhysicsServer3D::SHAPE_PLANE; }
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const { r_amount = 0; }
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const { r_amount = 0; }
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
@ -156,7 +159,7 @@ public:
virtual PhysicsServer3D::ShapeType get_type() const { return PhysicsServer3D::SHAPE_RAY; }
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
@ -184,7 +187,7 @@ public:
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
@ -209,7 +212,7 @@ public:
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
@ -238,7 +241,7 @@ public:
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
@ -251,6 +254,35 @@ public:
CapsuleShape3DSW();
};
class CylinderShape3DSW : public Shape3DSW {
real_t height;
real_t radius;
void _setup(real_t p_height, real_t p_radius);
public:
_FORCE_INLINE_ real_t get_height() const { return height; }
_FORCE_INLINE_ real_t get_radius() const { return radius; }
virtual real_t get_area() const { return 4.0 / 3.0 * Math_PI * radius * radius * radius + height * Math_PI * radius * radius; }
virtual PhysicsServer3D::ShapeType get_type() const { return PhysicsServer3D::SHAPE_CYLINDER; }
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
virtual Vector3 get_moment_of_inertia(real_t p_mass) const;
virtual void set_data(const Variant &p_data);
virtual Variant get_data() const;
CylinderShape3DSW();
};
struct ConvexPolygonShape3DSW : public Shape3DSW {
Geometry3D::MeshData mesh;
@ -263,7 +295,7 @@ public:
virtual void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
virtual Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
virtual bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
@ -399,7 +431,7 @@ struct FaceShape3DSW : public Shape3DSW {
void project_range(const Vector3 &p_normal, const Transform &p_transform, real_t &r_min, real_t &r_max) const;
Vector3 get_support(const Vector3 &p_normal) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const;
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const;
bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const;
virtual bool intersect_point(const Vector3 &p_point) const;
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const;
@ -437,7 +469,7 @@ struct MotionShape3DSW : public Shape3DSW {
}
return support;
}
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount) const { r_amount = 0; }
virtual void get_supports(const Vector3 &p_normal, int p_max, Vector3 *r_supports, int &r_amount, FeatureType &r_type) const { r_amount = 0; }
bool intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal) const { return false; }
virtual bool intersect_point(const Vector3 &p_point) const { return false; }
virtual Vector3 get_closest_point_to(const Vector3 &p_point) const { return p_point; }