virtualx-engine/servers/physics_2d/godot_body_pair_2d.cpp

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/*************************************************************************/
/* godot_body_pair_2d.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#include "godot_body_pair_2d.h"
#include "godot_collision_solver_2d.h"
#include "godot_space_2d.h"
#define ACCUMULATE_IMPULSES
#define MIN_VELOCITY 0.001
#define MAX_BIAS_ROTATION (Math_PI / 8)
void GodotBodyPair2D::_add_contact(const Vector2 &p_point_A, const Vector2 &p_point_B, void *p_self) {
GodotBodyPair2D *self = static_cast<GodotBodyPair2D *>(p_self);
self->_contact_added_callback(p_point_A, p_point_B);
}
void GodotBodyPair2D::_contact_added_callback(const Vector2 &p_point_A, const Vector2 &p_point_B) {
Vector2 local_A = A->get_inv_transform().basis_xform(p_point_A);
Vector2 local_B = B->get_inv_transform().basis_xform(p_point_B - offset_B);
int new_index = contact_count;
ERR_FAIL_COND(new_index >= (MAX_CONTACTS + 1));
Contact contact;
contact.local_A = local_A;
contact.local_B = local_B;
contact.normal = (p_point_A - p_point_B).normalized();
contact.used = true;
// Attempt to determine if the contact will be reused.
real_t recycle_radius_2 = space->get_contact_recycle_radius() * space->get_contact_recycle_radius();
for (int i = 0; i < contact_count; i++) {
Contact &c = contacts[i];
if (c.local_A.distance_squared_to(local_A) < (recycle_radius_2) &&
c.local_B.distance_squared_to(local_B) < (recycle_radius_2)) {
contact.acc_normal_impulse = c.acc_normal_impulse;
contact.acc_tangent_impulse = c.acc_tangent_impulse;
contact.acc_bias_impulse = c.acc_bias_impulse;
contact.acc_bias_impulse_center_of_mass = c.acc_bias_impulse_center_of_mass;
c = contact;
return;
}
}
// Figure out if the contact amount must be reduced to fit the new contact.
if (new_index == MAX_CONTACTS) {
// Remove the contact with the minimum depth.
const Transform2D &transform_A = A->get_transform();
const Transform2D &transform_B = B->get_transform();
int least_deep = -1;
real_t min_depth;
// Start with depth for new contact.
{
Vector2 global_A = transform_A.basis_xform(contact.local_A);
Vector2 global_B = transform_B.basis_xform(contact.local_B) + offset_B;
Vector2 axis = global_A - global_B;
min_depth = axis.dot(contact.normal);
}
for (int i = 0; i < contact_count; i++) {
const Contact &c = contacts[i];
Vector2 global_A = transform_A.basis_xform(c.local_A);
Vector2 global_B = transform_B.basis_xform(c.local_B) + offset_B;
Vector2 axis = global_A - global_B;
real_t depth = axis.dot(c.normal);
if (depth < min_depth) {
min_depth = depth;
least_deep = i;
}
}
if (least_deep > -1) {
// Replace the least deep contact by the new one.
contacts[least_deep] = contact;
}
return;
}
contacts[new_index] = contact;
contact_count++;
}
void GodotBodyPair2D::_validate_contacts() {
// Make sure to erase contacts that are no longer valid.
real_t max_separation = space->get_contact_max_separation();
real_t max_separation2 = max_separation * max_separation;
const Transform2D &transform_A = A->get_transform();
const Transform2D &transform_B = B->get_transform();
for (int i = 0; i < contact_count; i++) {
Contact &c = contacts[i];
bool erase = false;
if (!c.used) {
// Was left behind in previous frame.
erase = true;
} else {
c.used = false;
Vector2 global_A = transform_A.basis_xform(c.local_A);
Vector2 global_B = transform_B.basis_xform(c.local_B) + offset_B;
Vector2 axis = global_A - global_B;
real_t depth = axis.dot(c.normal);
if (depth < -max_separation || (global_B + c.normal * depth - global_A).length_squared() > max_separation2) {
erase = true;
}
}
if (erase) {
// Contact no longer needed, remove.
if ((i + 1) < contact_count) {
// Swap with the last one.
SWAP(contacts[i], contacts[contact_count - 1]);
}
i--;
contact_count--;
}
}
}
// _test_ccd prevents tunneling by slowing down a high velocity body that is about to collide so that next frame it will be at an appropriate location to collide (i.e. slight overlap)
// Warning: the way velocity is adjusted down to cause a collision means the momentum will be weaker than it should for a bounce!
// Process: only proceed if body A's motion is high relative to its size.
// cast forward along motion vector to see if A is going to enter/pass B's collider next frame, only proceed if it does.
// adjust the velocity of A down so that it will just slightly intersect the collider instead of blowing right past it.
bool GodotBodyPair2D::_test_ccd(real_t p_step, GodotBody2D *p_A, int p_shape_A, const Transform2D &p_xform_A, GodotBody2D *p_B, int p_shape_B, const Transform2D &p_xform_B) {
Vector2 motion = p_A->get_linear_velocity() * p_step;
real_t mlen = motion.length();
if (mlen < CMP_EPSILON) {
return false;
}
Vector2 mnormal = motion / mlen;
real_t min = 0.0, max = 0.0;
p_A->get_shape(p_shape_A)->project_rangev(mnormal, p_xform_A, min, max);
// Did it move enough in this direction to even attempt raycast?
// Let's say it should move more than 1/3 the size of the object in that axis.
bool fast_object = mlen > (max - min) * 0.3;
if (!fast_object) {
return false;
}
// A is moving fast enough that tunneling might occur. See if it's really about to collide.
// Cast a segment from support in motion normal, in the same direction of motion by motion length.
// Support point will the farthest forward collision point along the movement vector.
// i.e. the point that should hit B first if any collision does occur.
// convert mnormal into body A's local xform because get_support requires (and returns) local coordinates.
int a;
Vector2 s[2];
p_A->get_shape(p_shape_A)->get_supports(p_xform_A.basis_xform_inv(mnormal).normalized(), s, a);
Vector2 from = p_xform_A.xform(s[0]);
// Back up 10% of the per-frame motion behind the support point and use that as the beginning of our cast.
// This should ensure the calculated new velocity will really cause a bit of overlap instead of just getting us very close.
from -= motion * 0.1;
Vector2 to = from + motion;
Transform2D from_inv = p_xform_B.affine_inverse();
// Start from a little inside the bounding box.
Vector2 local_from = from_inv.xform(from);
Vector2 local_to = from_inv.xform(to);
Vector2 rpos, rnorm;
if (!p_B->get_shape(p_shape_B)->intersect_segment(local_from, local_to, rpos, rnorm)) {
// there was no hit. Since the segment is the length of per-frame motion, this means the bodies will not
// actually collide yet on next frame. We'll probably check again next frame once they're closer.
return false;
}
// Check one-way collision based on motion direction.
if (p_A->get_shape(p_shape_A)->allows_one_way_collision() && p_B->is_shape_set_as_one_way_collision(p_shape_B)) {
Vector2 direction = p_xform_B.columns[1].normalized();
if (direction.dot(mnormal) < CMP_EPSILON) {
collided = false;
oneway_disabled = true;
return false;
}
}
// Shorten the linear velocity so it does not hit, but gets close enough,
// next frame will hit softly or soft enough.
Vector2 hitpos = p_xform_B.xform(rpos);
real_t newlen = hitpos.distance_to(from);
p_A->set_linear_velocity(mnormal * (newlen / p_step));
return true;
}
real_t combine_bounce(GodotBody2D *A, GodotBody2D *B) {
return CLAMP(A->get_bounce() + B->get_bounce(), 0, 1);
}
real_t combine_friction(GodotBody2D *A, GodotBody2D *B) {
return ABS(MIN(A->get_friction(), B->get_friction()));
}
bool GodotBodyPair2D::setup(real_t p_step) {
check_ccd = false;
if (!A->interacts_with(B) || A->has_exception(B->get_self()) || B->has_exception(A->get_self())) {
collided = false;
return false;
}
collide_A = (A->get_mode() > PhysicsServer2D::BODY_MODE_KINEMATIC) && A->collides_with(B);
collide_B = (B->get_mode() > PhysicsServer2D::BODY_MODE_KINEMATIC) && B->collides_with(A);
report_contacts_only = false;
if (!collide_A && !collide_B) {
if ((A->get_max_contacts_reported() > 0) || (B->get_max_contacts_reported() > 0)) {
report_contacts_only = true;
} else {
collided = false;
return false;
}
}
//use local A coordinates to avoid numerical issues on collision detection
offset_B = B->get_transform().get_origin() - A->get_transform().get_origin();
_validate_contacts();
const Vector2 &offset_A = A->get_transform().get_origin();
Transform2D xform_Au = A->get_transform().untranslated();
Transform2D xform_A = xform_Au * A->get_shape_transform(shape_A);
Transform2D xform_Bu = B->get_transform();
xform_Bu.columns[2] -= offset_A;
Transform2D xform_B = xform_Bu * B->get_shape_transform(shape_B);
GodotShape2D *shape_A_ptr = A->get_shape(shape_A);
GodotShape2D *shape_B_ptr = B->get_shape(shape_B);
Vector2 motion_A, motion_B;
if (A->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_SHAPE) {
motion_A = A->get_motion();
}
if (B->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_SHAPE) {
motion_B = B->get_motion();
}
bool prev_collided = collided;
collided = GodotCollisionSolver2D::solve(shape_A_ptr, xform_A, motion_A, shape_B_ptr, xform_B, motion_B, _add_contact, this, &sep_axis);
if (!collided) {
oneway_disabled = false;
if (A->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_RAY && collide_A) {
check_ccd = true;
return true;
}
if (B->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_RAY && collide_B) {
check_ccd = true;
return true;
}
return false;
}
if (oneway_disabled) {
return false;
}
if (!prev_collided) {
if (shape_B_ptr->allows_one_way_collision() && A->is_shape_set_as_one_way_collision(shape_A)) {
Vector2 direction = xform_A.columns[1].normalized();
bool valid = false;
for (int i = 0; i < contact_count; i++) {
Contact &c = contacts[i];
if (c.normal.dot(direction) > -CMP_EPSILON) { // Greater (normal inverted).
continue;
}
valid = true;
break;
}
if (!valid) {
collided = false;
oneway_disabled = true;
return false;
}
}
if (shape_A_ptr->allows_one_way_collision() && B->is_shape_set_as_one_way_collision(shape_B)) {
Vector2 direction = xform_B.columns[1].normalized();
bool valid = false;
for (int i = 0; i < contact_count; i++) {
Contact &c = contacts[i];
if (c.normal.dot(direction) < CMP_EPSILON) { // Less (normal ok).
continue;
}
valid = true;
break;
}
if (!valid) {
collided = false;
oneway_disabled = true;
return false;
}
}
}
return true;
}
bool GodotBodyPair2D::pre_solve(real_t p_step) {
if (oneway_disabled) {
return false;
}
if (!collided) {
if (check_ccd) {
const Vector2 &offset_A = A->get_transform().get_origin();
Transform2D xform_Au = A->get_transform().untranslated();
Transform2D xform_A = xform_Au * A->get_shape_transform(shape_A);
Transform2D xform_Bu = B->get_transform();
xform_Bu.columns[2] -= offset_A;
Transform2D xform_B = xform_Bu * B->get_shape_transform(shape_B);
if (A->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_RAY && collide_A) {
_test_ccd(p_step, A, shape_A, xform_A, B, shape_B, xform_B);
}
if (B->get_continuous_collision_detection_mode() == PhysicsServer2D::CCD_MODE_CAST_RAY && collide_B) {
_test_ccd(p_step, B, shape_B, xform_B, A, shape_A, xform_A);
}
}
return false;
}
real_t max_penetration = space->get_contact_max_allowed_penetration();
real_t bias = space->get_contact_bias();
GodotShape2D *shape_A_ptr = A->get_shape(shape_A);
GodotShape2D *shape_B_ptr = B->get_shape(shape_B);
if (shape_A_ptr->get_custom_bias() || shape_B_ptr->get_custom_bias()) {
if (shape_A_ptr->get_custom_bias() == 0) {
bias = shape_B_ptr->get_custom_bias();
} else if (shape_B_ptr->get_custom_bias() == 0) {
bias = shape_A_ptr->get_custom_bias();
} else {
bias = (shape_B_ptr->get_custom_bias() + shape_A_ptr->get_custom_bias()) * 0.5;
}
}
real_t inv_dt = 1.0 / p_step;
bool do_process = false;
const Vector2 &offset_A = A->get_transform().get_origin();
const Transform2D &transform_A = A->get_transform();
const Transform2D &transform_B = B->get_transform();
real_t inv_inertia_A = collide_A ? A->get_inv_inertia() : 0.0;
real_t inv_inertia_B = collide_B ? B->get_inv_inertia() : 0.0;
real_t inv_mass_A = collide_A ? A->get_inv_mass() : 0.0;
real_t inv_mass_B = collide_B ? B->get_inv_mass() : 0.0;
for (int i = 0; i < contact_count; i++) {
Contact &c = contacts[i];
c.active = false;
Vector2 global_A = transform_A.basis_xform(c.local_A);
Vector2 global_B = transform_B.basis_xform(c.local_B) + offset_B;
Vector2 axis = global_A - global_B;
real_t depth = axis.dot(c.normal);
if (depth <= 0.0) {
continue;
}
#ifdef DEBUG_ENABLED
if (space->is_debugging_contacts()) {
space->add_debug_contact(global_A + offset_A);
space->add_debug_contact(global_B + offset_A);
}
#endif
c.rA = global_A - A->get_center_of_mass();
c.rB = global_B - B->get_center_of_mass() - offset_B;
if (A->can_report_contacts()) {
Vector2 crB(-B->get_angular_velocity() * c.rB.y, B->get_angular_velocity() * c.rB.x);
A->add_contact(global_A + offset_A, -c.normal, depth, shape_A, global_B + offset_A, shape_B, B->get_instance_id(), B->get_self(), crB + B->get_linear_velocity());
}
if (B->can_report_contacts()) {
Vector2 crA(-A->get_angular_velocity() * c.rA.y, A->get_angular_velocity() * c.rA.x);
B->add_contact(global_B + offset_A, c.normal, depth, shape_B, global_A + offset_A, shape_A, A->get_instance_id(), A->get_self(), crA + A->get_linear_velocity());
}
if (report_contacts_only) {
collided = false;
continue;
}
// Precompute normal mass, tangent mass, and bias.
real_t rnA = c.rA.dot(c.normal);
real_t rnB = c.rB.dot(c.normal);
real_t kNormal = inv_mass_A + inv_mass_B;
kNormal += inv_inertia_A * (c.rA.dot(c.rA) - rnA * rnA) + inv_inertia_B * (c.rB.dot(c.rB) - rnB * rnB);
c.mass_normal = 1.0f / kNormal;
Vector2 tangent = c.normal.orthogonal();
real_t rtA = c.rA.dot(tangent);
real_t rtB = c.rB.dot(tangent);
real_t kTangent = inv_mass_A + inv_mass_B;
kTangent += inv_inertia_A * (c.rA.dot(c.rA) - rtA * rtA) + inv_inertia_B * (c.rB.dot(c.rB) - rtB * rtB);
c.mass_tangent = 1.0f / kTangent;
c.bias = -bias * inv_dt * MIN(0.0f, -depth + max_penetration);
c.depth = depth;
#ifdef ACCUMULATE_IMPULSES
{
// Apply normal + friction impulse
Vector2 P = c.acc_normal_impulse * c.normal + c.acc_tangent_impulse * tangent;
if (collide_A) {
A->apply_impulse(-P, c.rA + A->get_center_of_mass());
}
if (collide_B) {
B->apply_impulse(P, c.rB + B->get_center_of_mass());
}
}
#endif
c.bounce = combine_bounce(A, B);
if (c.bounce) {
Vector2 crA(-A->get_prev_angular_velocity() * c.rA.y, A->get_prev_angular_velocity() * c.rA.x);
Vector2 crB(-B->get_prev_angular_velocity() * c.rB.y, B->get_prev_angular_velocity() * c.rB.x);
Vector2 dv = B->get_prev_linear_velocity() + crB - A->get_prev_linear_velocity() - crA;
c.bounce = c.bounce * dv.dot(c.normal);
}
c.active = true;
do_process = true;
}
return do_process;
}
void GodotBodyPair2D::solve(real_t p_step) {
if (!collided || oneway_disabled) {
return;
}
const real_t max_bias_av = MAX_BIAS_ROTATION / p_step;
real_t inv_mass_A = collide_A ? A->get_inv_mass() : 0.0;
real_t inv_mass_B = collide_B ? B->get_inv_mass() : 0.0;
for (int i = 0; i < contact_count; ++i) {
Contact &c = contacts[i];
if (!c.active) {
continue;
}
// Relative velocity at contact
Vector2 crA(-A->get_angular_velocity() * c.rA.y, A->get_angular_velocity() * c.rA.x);
Vector2 crB(-B->get_angular_velocity() * c.rB.y, B->get_angular_velocity() * c.rB.x);
Vector2 dv = B->get_linear_velocity() + crB - A->get_linear_velocity() - crA;
Vector2 crbA(-A->get_biased_angular_velocity() * c.rA.y, A->get_biased_angular_velocity() * c.rA.x);
Vector2 crbB(-B->get_biased_angular_velocity() * c.rB.y, B->get_biased_angular_velocity() * c.rB.x);
Vector2 dbv = B->get_biased_linear_velocity() + crbB - A->get_biased_linear_velocity() - crbA;
real_t vn = dv.dot(c.normal);
real_t vbn = dbv.dot(c.normal);
Vector2 tangent = c.normal.orthogonal();
real_t vt = dv.dot(tangent);
real_t jbn = (c.bias - vbn) * c.mass_normal;
real_t jbnOld = c.acc_bias_impulse;
c.acc_bias_impulse = MAX(jbnOld + jbn, 0.0f);
Vector2 jb = c.normal * (c.acc_bias_impulse - jbnOld);
if (collide_A) {
A->apply_bias_impulse(-jb, c.rA + A->get_center_of_mass(), max_bias_av);
}
if (collide_B) {
B->apply_bias_impulse(jb, c.rB + B->get_center_of_mass(), max_bias_av);
}
crbA = Vector2(-A->get_biased_angular_velocity() * c.rA.y, A->get_biased_angular_velocity() * c.rA.x);
crbB = Vector2(-B->get_biased_angular_velocity() * c.rB.y, B->get_biased_angular_velocity() * c.rB.x);
dbv = B->get_biased_linear_velocity() + crbB - A->get_biased_linear_velocity() - crbA;
vbn = dbv.dot(c.normal);
if (Math::abs(-vbn + c.bias) > MIN_VELOCITY) {
real_t jbn_com = (-vbn + c.bias) / (inv_mass_A + inv_mass_B);
real_t jbnOld_com = c.acc_bias_impulse_center_of_mass;
c.acc_bias_impulse_center_of_mass = MAX(jbnOld_com + jbn_com, 0.0f);
Vector2 jb_com = c.normal * (c.acc_bias_impulse_center_of_mass - jbnOld_com);
if (collide_A) {
A->apply_bias_impulse(-jb_com, A->get_center_of_mass(), 0.0f);
}
if (collide_B) {
B->apply_bias_impulse(jb_com, B->get_center_of_mass(), 0.0f);
}
}
real_t jn = -(c.bounce + vn) * c.mass_normal;
real_t jnOld = c.acc_normal_impulse;
c.acc_normal_impulse = MAX(jnOld + jn, 0.0f);
real_t friction = combine_friction(A, B);
real_t jtMax = friction * c.acc_normal_impulse;
real_t jt = -vt * c.mass_tangent;
real_t jtOld = c.acc_tangent_impulse;
c.acc_tangent_impulse = CLAMP(jtOld + jt, -jtMax, jtMax);
Vector2 j = c.normal * (c.acc_normal_impulse - jnOld) + tangent * (c.acc_tangent_impulse - jtOld);
if (collide_A) {
A->apply_impulse(-j, c.rA + A->get_center_of_mass());
}
if (collide_B) {
B->apply_impulse(j, c.rB + B->get_center_of_mass());
}
}
}
GodotBodyPair2D::GodotBodyPair2D(GodotBody2D *p_A, int p_shape_A, GodotBody2D *p_B, int p_shape_B) :
GodotConstraint2D(_arr, 2) {
A = p_A;
B = p_B;
shape_A = p_shape_A;
shape_B = p_shape_B;
space = A->get_space();
A->add_constraint(this, 0);
B->add_constraint(this, 1);
}
GodotBodyPair2D::~GodotBodyPair2D() {
A->remove_constraint(this, 0);
B->remove_constraint(this, 1);
}