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+/**************************************************************************/
+/* godot_soft_body_3d.cpp */
+/**************************************************************************/
+/* This file is part of: */
+/* GODOT ENGINE */
+/* https://godotengine.org */
+/**************************************************************************/
+/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
+/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
+/* */
+/* Permission is hereby granted, free of charge, to any person obtaining */
+/* a copy of this software and associated documentation files (the */
+/* "Software"), to deal in the Software without restriction, including */
+/* without limitation the rights to use, copy, modify, merge, publish, */
+/* distribute, sublicense, and/or sell copies of the Software, and to */
+/* permit persons to whom the Software is furnished to do so, subject to */
+/* the following conditions: */
+/* */
+/* The above copyright notice and this permission notice shall be */
+/* included in all copies or substantial portions of the Software. */
+/* */
+/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
+/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
+/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
+/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
+/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
+/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
+/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
+/**************************************************************************/
+
+#include "godot_soft_body_3d.h"
+
+#include "godot_space_3d.h"
+
+#include "core/math/geometry_3d.h"
+#include "core/templates/rb_map.h"
+#include "servers/rendering_server.h"
+
+// Based on Bullet soft body.
+
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+///btSoftBody implementation by Nathanael Presson
+
+GodotSoftBody3D::GodotSoftBody3D() :
+ GodotCollisionObject3D(TYPE_SOFT_BODY),
+ active_list(this) {
+ _set_static(false);
+}
+
+void GodotSoftBody3D::_shapes_changed() {
+}
+
+void GodotSoftBody3D::set_state(PhysicsServer3D::BodyState p_state, const Variant &p_variant) {
+ switch (p_state) {
+ case PhysicsServer3D::BODY_STATE_TRANSFORM: {
+ _set_transform(p_variant);
+ _set_inv_transform(get_transform().inverse());
+
+ apply_nodes_transform(get_transform());
+
+ } break;
+ case PhysicsServer3D::BODY_STATE_LINEAR_VELOCITY: {
+ // Not supported.
+ ERR_FAIL_MSG("Linear velocity is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_ANGULAR_VELOCITY: {
+ ERR_FAIL_MSG("Angular velocity is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_SLEEPING: {
+ ERR_FAIL_MSG("Sleeping state is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_CAN_SLEEP: {
+ ERR_FAIL_MSG("Sleeping state is not supported for Soft bodies.");
+ } break;
+ }
+}
+
+Variant GodotSoftBody3D::get_state(PhysicsServer3D::BodyState p_state) const {
+ switch (p_state) {
+ case PhysicsServer3D::BODY_STATE_TRANSFORM: {
+ return get_transform();
+ } break;
+ case PhysicsServer3D::BODY_STATE_LINEAR_VELOCITY: {
+ ERR_FAIL_V_MSG(Vector3(), "Linear velocity is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_ANGULAR_VELOCITY: {
+ ERR_FAIL_V_MSG(Vector3(), "Angular velocity is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_SLEEPING: {
+ ERR_FAIL_V_MSG(false, "Sleeping state is not supported for Soft bodies.");
+ } break;
+ case PhysicsServer3D::BODY_STATE_CAN_SLEEP: {
+ ERR_FAIL_V_MSG(false, "Sleeping state is not supported for Soft bodies.");
+ } break;
+ }
+
+ return Variant();
+}
+
+void GodotSoftBody3D::set_space(GodotSpace3D *p_space) {
+ if (get_space()) {
+ get_space()->soft_body_remove_from_active_list(&active_list);
+
+ deinitialize_shape();
+ }
+
+ _set_space(p_space);
+
+ if (get_space()) {
+ get_space()->soft_body_add_to_active_list(&active_list);
+
+ if (bounds != AABB()) {
+ initialize_shape(true);
+ }
+ }
+}
+
+void GodotSoftBody3D::set_mesh(RID p_mesh) {
+ destroy();
+
+ soft_mesh = p_mesh;
+
+ if (soft_mesh.is_null()) {
+ return;
+ }
+
+ Array arrays = RenderingServer::get_singleton()->mesh_surface_get_arrays(soft_mesh, 0);
+ ERR_FAIL_COND(arrays.is_empty());
+
+ const Vector<int> &indices = arrays[RenderingServer::ARRAY_INDEX];
+ const Vector<Vector3> &vertices = arrays[RenderingServer::ARRAY_VERTEX];
+ ERR_FAIL_COND_MSG(indices.is_empty(), "Soft body's mesh needs to have indices");
+ ERR_FAIL_COND_MSG(vertices.is_empty(), "Soft body's mesh needs to have vertices");
+
+ bool success = create_from_trimesh(indices, vertices);
+ if (!success) {
+ destroy();
+ }
+}
+
+void GodotSoftBody3D::update_rendering_server(PhysicsServer3DRenderingServerHandler *p_rendering_server_handler) {
+ if (soft_mesh.is_null()) {
+ return;
+ }
+
+ const uint32_t vertex_count = map_visual_to_physics.size();
+ for (uint32_t i = 0; i < vertex_count; ++i) {
+ const uint32_t node_index = map_visual_to_physics[i];
+ const Node &node = nodes[node_index];
+
+ p_rendering_server_handler->set_vertex(i, node.x);
+ p_rendering_server_handler->set_normal(i, node.n);
+ }
+
+ p_rendering_server_handler->set_aabb(bounds);
+}
+
+void GodotSoftBody3D::update_normals_and_centroids() {
+ for (Node &node : nodes) {
+ node.n = Vector3();
+ }
+
+ for (Face &face : faces) {
+ const Vector3 n = vec3_cross(face.n[0]->x - face.n[2]->x, face.n[0]->x - face.n[1]->x);
+ face.n[0]->n += n;
+ face.n[1]->n += n;
+ face.n[2]->n += n;
+ face.normal = n;
+ face.normal.normalize();
+ face.centroid = 0.33333333333 * (face.n[0]->x + face.n[1]->x + face.n[2]->x);
+ }
+
+ for (Node &node : nodes) {
+ real_t len = node.n.length();
+ if (len > CMP_EPSILON) {
+ node.n /= len;
+ }
+ }
+}
+
+void GodotSoftBody3D::update_bounds() {
+ AABB prev_bounds = bounds;
+ prev_bounds.grow_by(collision_margin);
+
+ bounds = AABB();
+
+ const uint32_t nodes_count = nodes.size();
+ if (nodes_count == 0) {
+ deinitialize_shape();
+ return;
+ }
+
+ bool first = true;
+ bool moved = false;
+ for (uint32_t node_index = 0; node_index < nodes_count; ++node_index) {
+ const Node &node = nodes[node_index];
+ if (!prev_bounds.has_point(node.x)) {
+ moved = true;
+ }
+ if (first) {
+ bounds.position = node.x;
+ first = false;
+ } else {
+ bounds.expand_to(node.x);
+ }
+ }
+
+ if (get_space()) {
+ initialize_shape(moved);
+ }
+}
+
+void GodotSoftBody3D::update_constants() {
+ reset_link_rest_lengths();
+ update_link_constants();
+ update_area();
+}
+
+void GodotSoftBody3D::update_area() {
+ int i, ni;
+
+ // Face area.
+ for (Face &face : faces) {
+ const Vector3 &x0 = face.n[0]->x;
+ const Vector3 &x1 = face.n[1]->x;
+ const Vector3 &x2 = face.n[2]->x;
+
+ const Vector3 a = x1 - x0;
+ const Vector3 b = x2 - x0;
+ const Vector3 cr = vec3_cross(a, b);
+ face.ra = cr.length() * 0.5;
+ }
+
+ // Node area.
+ LocalVector<int> counts;
+ if (nodes.size() > 0) {
+ counts.resize(nodes.size());
+ memset(counts.ptr(), 0, counts.size() * sizeof(int));
+ }
+
+ for (Node &node : nodes) {
+ node.area = 0.0;
+ }
+
+ for (const Face &face : faces) {
+ for (int j = 0; j < 3; ++j) {
+ const int index = (int)(face.n[j] - &nodes[0]);
+ counts[index]++;
+ face.n[j]->area += Math::abs(face.ra);
+ }
+ }
+
+ for (i = 0, ni = nodes.size(); i < ni; ++i) {
+ if (counts[i] > 0) {
+ nodes[i].area /= (real_t)counts[i];
+ } else {
+ nodes[i].area = 0.0;
+ }
+ }
+}
+
+void GodotSoftBody3D::reset_link_rest_lengths() {
+ for (Link &link : links) {
+ link.rl = (link.n[0]->x - link.n[1]->x).length();
+ link.c1 = link.rl * link.rl;
+ }
+}
+
+void GodotSoftBody3D::update_link_constants() {
+ real_t inv_linear_stiffness = 1.0 / linear_stiffness;
+ for (Link &link : links) {
+ link.c0 = (link.n[0]->im + link.n[1]->im) * inv_linear_stiffness;
+ }
+}
+
+void GodotSoftBody3D::apply_nodes_transform(const Transform3D &p_transform) {
+ if (soft_mesh.is_null()) {
+ return;
+ }
+
+ uint32_t node_count = nodes.size();
+ Vector3 leaf_size = Vector3(collision_margin, collision_margin, collision_margin) * 2.0;
+ for (uint32_t node_index = 0; node_index < node_count; ++node_index) {
+ Node &node = nodes[node_index];
+
+ node.x = p_transform.xform(node.x);
+ node.q = node.x;
+ node.v = Vector3();
+ node.bv = Vector3();
+
+ AABB node_aabb(node.x, leaf_size);
+ node_tree.update(node.leaf, node_aabb);
+ }
+
+ face_tree.clear();
+
+ update_normals_and_centroids();
+ update_bounds();
+ update_constants();
+}
+
+Vector3 GodotSoftBody3D::get_vertex_position(int p_index) const {
+ ERR_FAIL_COND_V(p_index < 0, Vector3());
+
+ if (soft_mesh.is_null()) {
+ return Vector3();
+ }
+
+ ERR_FAIL_COND_V(p_index >= (int)map_visual_to_physics.size(), Vector3());
+ uint32_t node_index = map_visual_to_physics[p_index];
+
+ ERR_FAIL_COND_V(node_index >= nodes.size(), Vector3());
+ return nodes[node_index].x;
+}
+
+void GodotSoftBody3D::set_vertex_position(int p_index, const Vector3 &p_position) {
+ ERR_FAIL_COND(p_index < 0);
+
+ if (soft_mesh.is_null()) {
+ return;
+ }
+
+ ERR_FAIL_COND(p_index >= (int)map_visual_to_physics.size());
+ uint32_t node_index = map_visual_to_physics[p_index];
+
+ ERR_FAIL_COND(node_index >= nodes.size());
+ Node &node = nodes[node_index];
+ node.q = node.x;
+ node.x = p_position;
+}
+
+void GodotSoftBody3D::pin_vertex(int p_index) {
+ ERR_FAIL_COND(p_index < 0);
+
+ if (is_vertex_pinned(p_index)) {
+ return;
+ }
+
+ pinned_vertices.push_back(p_index);
+
+ if (!soft_mesh.is_null()) {
+ ERR_FAIL_COND(p_index >= (int)map_visual_to_physics.size());
+ uint32_t node_index = map_visual_to_physics[p_index];
+
+ ERR_FAIL_COND(node_index >= nodes.size());
+ Node &node = nodes[node_index];
+ node.im = 0.0;
+ }
+}
+
+void GodotSoftBody3D::unpin_vertex(int p_index) {
+ ERR_FAIL_COND(p_index < 0);
+
+ uint32_t pinned_count = pinned_vertices.size();
+ for (uint32_t i = 0; i < pinned_count; ++i) {
+ if (p_index == pinned_vertices[i]) {
+ pinned_vertices.remove_at(i);
+
+ if (!soft_mesh.is_null()) {
+ ERR_FAIL_COND(p_index >= (int)map_visual_to_physics.size());
+ uint32_t node_index = map_visual_to_physics[p_index];
+
+ ERR_FAIL_COND(node_index >= nodes.size());
+ real_t inv_node_mass = nodes.size() * inv_total_mass;
+
+ Node &node = nodes[node_index];
+ node.im = inv_node_mass;
+ }
+
+ return;
+ }
+ }
+}
+
+void GodotSoftBody3D::unpin_all_vertices() {
+ if (!soft_mesh.is_null()) {
+ real_t inv_node_mass = nodes.size() * inv_total_mass;
+ uint32_t pinned_count = pinned_vertices.size();
+ for (uint32_t i = 0; i < pinned_count; ++i) {
+ int pinned_vertex = pinned_vertices[i];
+
+ ERR_CONTINUE(pinned_vertex >= (int)map_visual_to_physics.size());
+ uint32_t node_index = map_visual_to_physics[pinned_vertex];
+
+ ERR_CONTINUE(node_index >= nodes.size());
+ Node &node = nodes[node_index];
+ node.im = inv_node_mass;
+ }
+ }
+
+ pinned_vertices.clear();
+}
+
+bool GodotSoftBody3D::is_vertex_pinned(int p_index) const {
+ ERR_FAIL_COND_V(p_index < 0, false);
+
+ uint32_t pinned_count = pinned_vertices.size();
+ for (uint32_t i = 0; i < pinned_count; ++i) {
+ if (p_index == pinned_vertices[i]) {
+ return true;
+ }
+ }
+
+ return false;
+}
+
+uint32_t GodotSoftBody3D::get_node_count() const {
+ return nodes.size();
+}
+
+real_t GodotSoftBody3D::get_node_inv_mass(uint32_t p_node_index) const {
+ ERR_FAIL_UNSIGNED_INDEX_V(p_node_index, nodes.size(), 0.0);
+ return nodes[p_node_index].im;
+}
+
+Vector3 GodotSoftBody3D::get_node_position(uint32_t p_node_index) const {
+ ERR_FAIL_UNSIGNED_INDEX_V(p_node_index, nodes.size(), Vector3());
+ return nodes[p_node_index].x;
+}
+
+Vector3 GodotSoftBody3D::get_node_velocity(uint32_t p_node_index) const {
+ ERR_FAIL_UNSIGNED_INDEX_V(p_node_index, nodes.size(), Vector3());
+ return nodes[p_node_index].v;
+}
+
+Vector3 GodotSoftBody3D::get_node_biased_velocity(uint32_t p_node_index) const {
+ ERR_FAIL_UNSIGNED_INDEX_V(p_node_index, nodes.size(), Vector3());
+ return nodes[p_node_index].bv;
+}
+
+void GodotSoftBody3D::apply_node_impulse(uint32_t p_node_index, const Vector3 &p_impulse) {
+ ERR_FAIL_UNSIGNED_INDEX(p_node_index, nodes.size());
+ Node &node = nodes[p_node_index];
+ node.v += p_impulse * node.im;
+}
+
+void GodotSoftBody3D::apply_node_bias_impulse(uint32_t p_node_index, const Vector3 &p_impulse) {
+ ERR_FAIL_UNSIGNED_INDEX(p_node_index, nodes.size());
+ Node &node = nodes[p_node_index];
+ node.bv += p_impulse * node.im;
+}
+
+uint32_t GodotSoftBody3D::get_face_count() const {
+ return faces.size();
+}
+
+void GodotSoftBody3D::get_face_points(uint32_t p_face_index, Vector3 &r_point_1, Vector3 &r_point_2, Vector3 &r_point_3) const {
+ ERR_FAIL_UNSIGNED_INDEX(p_face_index, faces.size());
+ const Face &face = faces[p_face_index];
+ r_point_1 = face.n[0]->x;
+ r_point_2 = face.n[1]->x;
+ r_point_3 = face.n[2]->x;
+}
+
+Vector3 GodotSoftBody3D::get_face_normal(uint32_t p_face_index) const {
+ ERR_FAIL_UNSIGNED_INDEX_V(p_face_index, faces.size(), Vector3());
+ return faces[p_face_index].normal;
+}
+
+bool GodotSoftBody3D::create_from_trimesh(const Vector<int> &p_indices, const Vector<Vector3> &p_vertices) {
+ ERR_FAIL_COND_V(p_indices.is_empty(), false);
+ ERR_FAIL_COND_V(p_vertices.is_empty(), false);
+
+ uint32_t node_count = 0;
+ LocalVector<Vector3> vertices;
+ const int visual_vertex_count(p_vertices.size());
+
+ LocalVector<int> triangles;
+ const uint32_t triangle_count(p_indices.size() / 3);
+ triangles.resize(triangle_count * 3);
+
+ // Merge all overlapping vertices and create a map of physical vertices to visual vertices.
+ {
+ // Process vertices.
+ {
+ uint32_t vertex_count = 0;
+ HashMap<Vector3, uint32_t> unique_vertices;
+
+ vertices.resize(visual_vertex_count);
+ map_visual_to_physics.resize(visual_vertex_count);
+
+ for (int visual_vertex_index = 0; visual_vertex_index < visual_vertex_count; ++visual_vertex_index) {
+ const Vector3 &vertex = p_vertices[visual_vertex_index];
+
+ HashMap<Vector3, uint32_t>::Iterator e = unique_vertices.find(vertex);
+ uint32_t vertex_id;
+ if (e) {
+ // Already existing.
+ vertex_id = e->value;
+ } else {
+ // Create new one.
+ vertex_id = vertex_count++;
+ unique_vertices[vertex] = vertex_id;
+ vertices[vertex_id] = vertex;
+ }
+
+ map_visual_to_physics[visual_vertex_index] = vertex_id;
+ }
+
+ vertices.resize(vertex_count);
+ }
+
+ // Process triangles.
+ {
+ for (uint32_t triangle_index = 0; triangle_index < triangle_count; ++triangle_index) {
+ for (int i = 0; i < 3; ++i) {
+ int visual_index = 3 * triangle_index + i;
+ int physics_index = map_visual_to_physics[p_indices[visual_index]];
+ triangles[visual_index] = physics_index;
+ node_count = MAX((int)node_count, physics_index);
+ }
+ }
+ }
+ }
+
+ ++node_count;
+
+ // Create nodes from vertices.
+ nodes.resize(node_count);
+ real_t inv_node_mass = node_count * inv_total_mass;
+ Vector3 leaf_size = Vector3(collision_margin, collision_margin, collision_margin) * 2.0;
+ for (uint32_t i = 0; i < node_count; ++i) {
+ Node &node = nodes[i];
+ node.s = vertices[i];
+ node.x = node.s;
+ node.q = node.s;
+ node.im = inv_node_mass;
+
+ AABB node_aabb(node.x, leaf_size);
+ node.leaf = node_tree.insert(node_aabb, &node);
+
+ node.index = i;
+ }
+
+ // Create links and faces from triangles.
+ LocalVector<bool> chks;
+ chks.resize(node_count * node_count);
+ memset(chks.ptr(), 0, chks.size() * sizeof(bool));
+
+ for (uint32_t i = 0; i < triangle_count * 3; i += 3) {
+ const int idx[] = { triangles[i], triangles[i + 1], triangles[i + 2] };
+
+ for (int j = 2, k = 0; k < 3; j = k++) {
+ int chk = idx[k] * node_count + idx[j];
+ if (!chks[chk]) {
+ chks[chk] = true;
+ int inv_chk = idx[j] * node_count + idx[k];
+ chks[inv_chk] = true;
+
+ append_link(idx[j], idx[k]);
+ }
+ }
+
+ append_face(idx[0], idx[1], idx[2]);
+ }
+
+ // Set pinned nodes.
+ uint32_t pinned_count = pinned_vertices.size();
+ for (uint32_t i = 0; i < pinned_count; ++i) {
+ int pinned_vertex = pinned_vertices[i];
+
+ ERR_CONTINUE(pinned_vertex >= visual_vertex_count);
+ uint32_t node_index = map_visual_to_physics[pinned_vertex];
+
+ ERR_CONTINUE(node_index >= node_count);
+ Node &node = nodes[node_index];
+ node.im = 0.0;
+ }
+
+ generate_bending_constraints(2);
+ reoptimize_link_order();
+
+ update_constants();
+ update_normals_and_centroids();
+ update_bounds();
+
+ return true;
+}
+
+void GodotSoftBody3D::generate_bending_constraints(int p_distance) {
+ uint32_t i, j;
+
+ if (p_distance > 1) {
+ // Build graph.
+ const uint32_t n = nodes.size();
+ const unsigned inf = (~(unsigned)0) >> 1;
+ const uint32_t adj_size = n * n;
+ unsigned *adj = memnew_arr(unsigned, adj_size);
+
+#define IDX(_x_, _y_) ((_y_) * n + (_x_))
+ for (j = 0; j < n; ++j) {
+ for (i = 0; i < n; ++i) {
+ int idx_ij = j * n + i;
+ int idx_ji = i * n + j;
+ if (i != j) {
+ adj[idx_ij] = adj[idx_ji] = inf;
+ } else {
+ adj[idx_ij] = adj[idx_ji] = 0;
+ }
+ }
+ }
+ for (Link &link : links) {
+ const int ia = (int)(link.n[0] - &nodes[0]);
+ const int ib = (int)(link.n[1] - &nodes[0]);
+ int idx = ib * n + ia;
+ int idx_inv = ia * n + ib;
+ adj[idx] = 1;
+ adj[idx_inv] = 1;
+ }
+
+ // Special optimized case for distance == 2.
+ if (p_distance == 2) {
+ LocalVector<LocalVector<int>> node_links;
+
+ // Build node links.
+ node_links.resize(nodes.size());
+
+ for (Link &link : links) {
+ const int ia = (int)(link.n[0] - &nodes[0]);
+ const int ib = (int)(link.n[1] - &nodes[0]);
+ if (!node_links[ia].has(ib)) {
+ node_links[ia].push_back(ib);
+ }
+
+ if (!node_links[ib].has(ia)) {
+ node_links[ib].push_back(ia);
+ }
+ }
+ for (uint32_t ii = 0; ii < node_links.size(); ii++) {
+ for (uint32_t jj = 0; jj < node_links[ii].size(); jj++) {
+ int k = node_links[ii][jj];
+ for (const int &l : node_links[k]) {
+ if ((int)ii != l) {
+ int idx_ik = k * n + ii;
+ int idx_kj = l * n + k;
+ const unsigned sum = adj[idx_ik] + adj[idx_kj];
+ ERR_FAIL_COND(sum != 2);
+ int idx_ij = l * n + ii;
+ if (adj[idx_ij] > sum) {
+ int idx_ji = l * n + ii;
+ adj[idx_ij] = adj[idx_ji] = sum;
+ }
+ }
+ }
+ }
+ }
+ } else {
+ // Generic Floyd's algorithm.
+ for (uint32_t k = 0; k < n; ++k) {
+ for (j = 0; j < n; ++j) {
+ for (i = j + 1; i < n; ++i) {
+ int idx_ik = k * n + i;
+ int idx_kj = j * n + k;
+ const unsigned sum = adj[idx_ik] + adj[idx_kj];
+ int idx_ij = j * n + i;
+ if (adj[idx_ij] > sum) {
+ int idx_ji = j * n + i;
+ adj[idx_ij] = adj[idx_ji] = sum;
+ }
+ }
+ }
+ }
+ }
+
+ // Build links.
+ for (j = 0; j < n; ++j) {
+ for (i = j + 1; i < n; ++i) {
+ int idx_ij = j * n + i;
+ if (adj[idx_ij] == (unsigned)p_distance) {
+ append_link(i, j);
+ }
+ }
+ }
+ memdelete_arr(adj);
+ }
+}
+
+//===================================================================
+//
+//
+// This function takes in a list of interdependent Links and tries
+// to maximize the distance between calculation
+// of dependent links. This increases the amount of parallelism that can
+// be exploited by out-of-order instruction processors with large but
+// (inevitably) finite instruction windows.
+//
+//===================================================================
+
+// A small structure to track lists of dependent link calculations.
+class LinkDeps {
+public:
+ // A link calculation that is dependent on this one.
+ // Positive values = "input A" while negative values = "input B".
+ int value;
+ // Next dependence in the list.
+ LinkDeps *next;
+};
+typedef LinkDeps *LinkDepsPtr;
+
+void GodotSoftBody3D::reoptimize_link_order() {
+ const int reop_not_dependent = -1;
+ const int reop_node_complete = -2;
+
+ uint32_t link_count = links.size();
+ uint32_t node_count = nodes.size();
+
+ if (link_count < 1 || node_count < 2) {
+ return;
+ }
+
+ uint32_t i;
+ Link *lr;
+ int ar, br;
+ Node *node0 = &(nodes[0]);
+ Node *node1 = &(nodes[1]);
+ LinkDepsPtr link_dep;
+ int ready_list_head, ready_list_tail, link_num, link_dep_frees, dep_link;
+
+ // Allocate temporary buffers.
+ int *node_written_at = memnew_arr(int, node_count + 1); // What link calculation produced this node's current values?
+ int *link_dep_A = memnew_arr(int, link_count); // Link calculation input is dependent upon prior calculation #N
+ int *link_dep_B = memnew_arr(int, link_count);
+ int *ready_list = memnew_arr(int, link_count); // List of ready-to-process link calculations (# of links, maximum)
+ LinkDeps *link_dep_free_list = memnew_arr(LinkDeps, 2 * link_count); // Dependent-on-me list elements (2x# of links, maximum)
+ LinkDepsPtr *link_dep_list_starts = memnew_arr(LinkDepsPtr, link_count); // Start nodes of dependent-on-me lists, one for each link
+
+ // Copy the original, unsorted links to a side buffer.
+ Link *link_buffer = memnew_arr(Link, link_count);
+ memcpy(link_buffer, &(links[0]), sizeof(Link) * link_count);
+
+ // Clear out the node setup and ready list.
+ for (i = 0; i < node_count + 1; i++) {
+ node_written_at[i] = reop_not_dependent;
+ }
+ for (i = 0; i < link_count; i++) {
+ link_dep_list_starts[i] = nullptr;
+ }
+ ready_list_head = ready_list_tail = link_dep_frees = 0;
+
+ // Initial link analysis to set up data structures.
+ for (i = 0; i < link_count; i++) {
+ // Note which prior link calculations we are dependent upon & build up dependence lists.
+ lr = &(links[i]);
+ ar = (lr->n[0] - node0) / (node1 - node0);
+ br = (lr->n[1] - node0) / (node1 - node0);
+ if (node_written_at[ar] > reop_not_dependent) {
+ link_dep_A[i] = node_written_at[ar];
+ link_dep = &link_dep_free_list[link_dep_frees++];
+ link_dep->value = i;
+ link_dep->next = link_dep_list_starts[node_written_at[ar]];
+ link_dep_list_starts[node_written_at[ar]] = link_dep;
+ } else {
+ link_dep_A[i] = reop_not_dependent;
+ }
+ if (node_written_at[br] > reop_not_dependent) {
+ link_dep_B[i] = node_written_at[br];
+ link_dep = &link_dep_free_list[link_dep_frees++];
+ link_dep->value = -(int)(i + 1);
+ link_dep->next = link_dep_list_starts[node_written_at[br]];
+ link_dep_list_starts[node_written_at[br]] = link_dep;
+ } else {
+ link_dep_B[i] = reop_not_dependent;
+ }
+
+ // Add this link to the initial ready list, if it is not dependent on any other links.
+ if ((link_dep_A[i] == reop_not_dependent) && (link_dep_B[i] == reop_not_dependent)) {
+ ready_list[ready_list_tail++] = i;
+ link_dep_A[i] = link_dep_B[i] = reop_node_complete; // Probably not needed now.
+ }
+
+ // Update the nodes to mark which ones are calculated by this link.
+ node_written_at[ar] = node_written_at[br] = i;
+ }
+
+ // Process the ready list and create the sorted list of links:
+ // -- By treating the ready list as a queue, we maximize the distance between any
+ // inter-dependent node calculations.
+ // -- All other (non-related) nodes in the ready list will automatically be inserted
+ // in between each set of inter-dependent link calculations by this loop.
+ i = 0;
+ while (ready_list_head != ready_list_tail) {
+ // Use ready list to select the next link to process.
+ link_num = ready_list[ready_list_head++];
+ // Copy the next-to-calculate link back into the original link array.
+ links[i++] = link_buffer[link_num];
+
+ // Free up any link inputs that are dependent on this one.
+ link_dep = link_dep_list_starts[link_num];
+ while (link_dep) {
+ dep_link = link_dep->value;
+ if (dep_link >= 0) {
+ link_dep_A[dep_link] = reop_not_dependent;
+ } else {
+ dep_link = -dep_link - 1;
+ link_dep_B[dep_link] = reop_not_dependent;
+ }
+ // Add this dependent link calculation to the ready list if *both* inputs are clear.
+ if ((link_dep_A[dep_link] == reop_not_dependent) && (link_dep_B[dep_link] == reop_not_dependent)) {
+ ready_list[ready_list_tail++] = dep_link;
+ link_dep_A[dep_link] = link_dep_B[dep_link] = reop_node_complete; // Probably not needed now.
+ }
+ link_dep = link_dep->next;
+ }
+ }
+
+ // Delete the temporary buffers.
+ memdelete_arr(node_written_at);
+ memdelete_arr(link_dep_A);
+ memdelete_arr(link_dep_B);
+ memdelete_arr(ready_list);
+ memdelete_arr(link_dep_free_list);
+ memdelete_arr(link_dep_list_starts);
+ memdelete_arr(link_buffer);
+}
+
+void GodotSoftBody3D::append_link(uint32_t p_node1, uint32_t p_node2) {
+ if (p_node1 == p_node2) {
+ return;
+ }
+
+ Node *node1 = &nodes[p_node1];
+ Node *node2 = &nodes[p_node2];
+
+ Link link;
+ link.n[0] = node1;
+ link.n[1] = node2;
+ link.rl = (node1->x - node2->x).length();
+
+ links.push_back(link);
+}
+
+void GodotSoftBody3D::append_face(uint32_t p_node1, uint32_t p_node2, uint32_t p_node3) {
+ if (p_node1 == p_node2) {
+ return;
+ }
+ if (p_node1 == p_node3) {
+ return;
+ }
+ if (p_node2 == p_node3) {
+ return;
+ }
+
+ Node *node1 = &nodes[p_node1];
+ Node *node2 = &nodes[p_node2];
+ Node *node3 = &nodes[p_node3];
+
+ Face face;
+ face.n[0] = node1;
+ face.n[1] = node2;
+ face.n[2] = node3;
+
+ face.index = faces.size();
+
+ faces.push_back(face);
+}
+
+void GodotSoftBody3D::set_iteration_count(int p_val) {
+ iteration_count = p_val;
+}
+
+void GodotSoftBody3D::set_total_mass(real_t p_val) {
+ ERR_FAIL_COND(p_val < 0.0);
+
+ inv_total_mass = 1.0 / p_val;
+ real_t mass_factor = total_mass * inv_total_mass;
+ total_mass = p_val;
+
+ uint32_t node_count = nodes.size();
+ for (uint32_t node_index = 0; node_index < node_count; ++node_index) {
+ Node &node = nodes[node_index];
+ node.im *= mass_factor;
+ }
+
+ update_constants();
+}
+
+void GodotSoftBody3D::set_collision_margin(real_t p_val) {
+ collision_margin = p_val;
+}
+
+void GodotSoftBody3D::set_linear_stiffness(real_t p_val) {
+ linear_stiffness = p_val;
+}
+
+void GodotSoftBody3D::set_pressure_coefficient(real_t p_val) {
+ pressure_coefficient = p_val;
+}
+
+void GodotSoftBody3D::set_damping_coefficient(real_t p_val) {
+ damping_coefficient = p_val;
+}
+
+void GodotSoftBody3D::set_drag_coefficient(real_t p_val) {
+ drag_coefficient = p_val;
+}
+
+void GodotSoftBody3D::add_velocity(const Vector3 &p_velocity) {
+ for (Node &node : nodes) {
+ if (node.im > 0) {
+ node.v += p_velocity;
+ }
+ }
+}
+
+void GodotSoftBody3D::apply_forces(const LocalVector<GodotArea3D *> &p_wind_areas) {
+ if (nodes.is_empty()) {
+ return;
+ }
+
+ int32_t j;
+
+ real_t volume = 0.0;
+ const Vector3 &org = nodes[0].x;
+
+ // Iterate over faces (try not to iterate elsewhere if possible).
+ for (const Face &face : faces) {
+ Vector3 wind_force(0, 0, 0);
+
+ // Compute volume.
+ volume += vec3_dot(face.n[0]->x - org, vec3_cross(face.n[1]->x - org, face.n[2]->x - org));
+
+ // Compute nodal forces from area winds.
+ if (!p_wind_areas.is_empty()) {
+ for (const GodotArea3D *area : p_wind_areas) {
+ wind_force += _compute_area_windforce(area, &face);
+ }
+
+ for (j = 0; j < 3; j++) {
+ Node *current_node = face.n[j];
+ current_node->f += wind_force;
+ }
+ }
+ }
+ volume /= 6.0;
+
+ // Apply nodal pressure forces.
+ if (pressure_coefficient > CMP_EPSILON) {
+ real_t ivolumetp = 1.0 / Math::abs(volume) * pressure_coefficient;
+ for (Node &node : nodes) {
+ if (node.im > 0) {
+ node.f += node.n * (node.area * ivolumetp);
+ }
+ }
+ }
+}
+
+Vector3 GodotSoftBody3D::_compute_area_windforce(const GodotArea3D *p_area, const Face *p_face) {
+ real_t wfm = p_area->get_wind_force_magnitude();
+ real_t waf = p_area->get_wind_attenuation_factor();
+ const Vector3 &wd = p_area->get_wind_direction();
+ const Vector3 &ws = p_area->get_wind_source();
+ real_t projection_on_tri_normal = vec3_dot(p_face->normal, wd);
+ real_t projection_toward_centroid = vec3_dot(p_face->centroid - ws, wd);
+ real_t attenuation_over_distance = pow(projection_toward_centroid, -waf);
+ real_t nodal_force_magnitude = wfm * 0.33333333333 * p_face->ra * projection_on_tri_normal * attenuation_over_distance;
+ return nodal_force_magnitude * p_face->normal;
+}
+
+void GodotSoftBody3D::predict_motion(real_t p_delta) {
+ const real_t inv_delta = 1.0 / p_delta;
+
+ ERR_FAIL_NULL(get_space());
+
+ bool gravity_done = false;
+ Vector3 gravity;
+
+ LocalVector<GodotArea3D *> wind_areas;
+
+ int ac = areas.size();
+ if (ac) {
+ areas.sort();
+ const AreaCMP *aa = &areas[0];
+ for (int i = ac - 1; i >= 0; i--) {
+ if (!gravity_done) {
+ PhysicsServer3D::AreaSpaceOverrideMode area_gravity_mode = (PhysicsServer3D::AreaSpaceOverrideMode)(int)aa[i].area->get_param(PhysicsServer3D::AREA_PARAM_GRAVITY_OVERRIDE_MODE);
+ if (area_gravity_mode != PhysicsServer3D::AREA_SPACE_OVERRIDE_DISABLED) {
+ Vector3 area_gravity;
+ aa[i].area->compute_gravity(get_transform().get_origin(), area_gravity);
+ switch (area_gravity_mode) {
+ case PhysicsServer3D::AREA_SPACE_OVERRIDE_COMBINE:
+ case PhysicsServer3D::AREA_SPACE_OVERRIDE_COMBINE_REPLACE: {
+ gravity += area_gravity;
+ gravity_done = area_gravity_mode == PhysicsServer3D::AREA_SPACE_OVERRIDE_COMBINE_REPLACE;
+ } break;
+ case PhysicsServer3D::AREA_SPACE_OVERRIDE_REPLACE:
+ case PhysicsServer3D::AREA_SPACE_OVERRIDE_REPLACE_COMBINE: {
+ gravity = area_gravity;
+ gravity_done = area_gravity_mode == PhysicsServer3D::AREA_SPACE_OVERRIDE_REPLACE;
+ } break;
+ default: {
+ }
+ }
+ }
+ }
+
+ if (aa[i].area->get_wind_force_magnitude() > CMP_EPSILON) {
+ wind_areas.push_back(aa[i].area);
+ }
+ }
+ }
+
+ // Add default gravity and damping from space area.
+ if (!gravity_done) {
+ GodotArea3D *default_area = get_space()->get_default_area();
+ ERR_FAIL_NULL(default_area);
+
+ Vector3 default_gravity;
+ default_area->compute_gravity(get_transform().get_origin(), default_gravity);
+ gravity += default_gravity;
+ }
+
+ // Apply forces.
+ add_velocity(gravity * p_delta);
+ if (pressure_coefficient > CMP_EPSILON || !wind_areas.is_empty()) {
+ apply_forces(wind_areas);
+ }
+
+ // Avoid soft body from 'exploding' so use some upper threshold of maximum motion
+ // that a node can travel per frame.
+ const real_t max_displacement = 1000.0;
+ real_t clamp_delta_v = max_displacement * inv_delta;
+
+ // Integrate.
+ for (Node &node : nodes) {
+ node.q = node.x;
+ Vector3 delta_v = node.f * node.im * p_delta;
+ for (int c = 0; c < 3; c++) {
+ delta_v[c] = CLAMP(delta_v[c], -clamp_delta_v, clamp_delta_v);
+ }
+ node.v += delta_v;
+ node.x += node.v * p_delta;
+ node.f = Vector3();
+ }
+
+ // Bounds and tree update.
+ update_bounds();
+
+ // Node tree update.
+ for (const Node &node : nodes) {
+ AABB node_aabb(node.x, Vector3());
+ node_aabb.expand_to(node.x + node.v * p_delta);
+ node_aabb.grow_by(collision_margin);
+
+ node_tree.update(node.leaf, node_aabb);
+ }
+
+ // Face tree update.
+ if (!face_tree.is_empty()) {
+ update_face_tree(p_delta);
+ }
+
+ // Optimize node tree.
+ node_tree.optimize_incremental(1);
+ face_tree.optimize_incremental(1);
+}
+
+void GodotSoftBody3D::solve_constraints(real_t p_delta) {
+ const real_t inv_delta = 1.0 / p_delta;
+
+ for (Link &link : links) {
+ link.c3 = link.n[1]->q - link.n[0]->q;
+ link.c2 = 1 / (link.c3.length_squared() * link.c0);
+ }
+
+ // Solve velocities.
+ for (Node &node : nodes) {
+ node.x = node.q + node.v * p_delta;
+ }
+
+ // Solve positions.
+ for (int isolve = 0; isolve < iteration_count; ++isolve) {
+ const real_t ti = isolve / (real_t)iteration_count;
+ solve_links(1.0, ti);
+ }
+ const real_t vc = (1.0 - damping_coefficient) * inv_delta;
+ for (Node &node : nodes) {
+ node.x += node.bv * p_delta;
+ node.bv = Vector3();
+
+ node.v = (node.x - node.q) * vc;
+
+ node.q = node.x;
+ }
+
+ update_normals_and_centroids();
+}
+
+void GodotSoftBody3D::solve_links(real_t kst, real_t ti) {
+ for (Link &link : links) {
+ if (link.c0 > 0) {
+ Node &node_a = *link.n[0];
+ Node &node_b = *link.n[1];
+ const Vector3 del = node_b.x - node_a.x;
+ const real_t len = del.length_squared();
+ if (link.c1 + len > CMP_EPSILON) {
+ const real_t k = ((link.c1 - len) / (link.c0 * (link.c1 + len))) * kst;
+ node_a.x -= del * (k * node_a.im);
+ node_b.x += del * (k * node_b.im);
+ }
+ }
+ }
+}
+
+struct AABBQueryResult {
+ const GodotSoftBody3D *soft_body = nullptr;
+ void *userdata = nullptr;
+ GodotSoftBody3D::QueryResultCallback result_callback = nullptr;
+
+ _FORCE_INLINE_ bool operator()(void *p_data) {
+ return result_callback(soft_body->get_node_index(p_data), userdata);
+ };
+};
+
+void GodotSoftBody3D::query_aabb(const AABB &p_aabb, GodotSoftBody3D::QueryResultCallback p_result_callback, void *p_userdata) {
+ AABBQueryResult query_result;
+ query_result.soft_body = this;
+ query_result.result_callback = p_result_callback;
+ query_result.userdata = p_userdata;
+
+ node_tree.aabb_query(p_aabb, query_result);
+}
+
+struct RayQueryResult {
+ const GodotSoftBody3D *soft_body = nullptr;
+ void *userdata = nullptr;
+ GodotSoftBody3D::QueryResultCallback result_callback = nullptr;
+
+ _FORCE_INLINE_ bool operator()(void *p_data) {
+ return result_callback(soft_body->get_face_index(p_data), userdata);
+ };
+};
+
+void GodotSoftBody3D::query_ray(const Vector3 &p_from, const Vector3 &p_to, GodotSoftBody3D::QueryResultCallback p_result_callback, void *p_userdata) {
+ if (face_tree.is_empty()) {
+ initialize_face_tree();
+ }
+
+ RayQueryResult query_result;
+ query_result.soft_body = this;
+ query_result.result_callback = p_result_callback;
+ query_result.userdata = p_userdata;
+
+ face_tree.ray_query(p_from, p_to, query_result);
+}
+
+void GodotSoftBody3D::initialize_face_tree() {
+ face_tree.clear();
+ for (Face &face : faces) {
+ AABB face_aabb;
+
+ face_aabb.position = face.n[0]->x;
+ face_aabb.expand_to(face.n[1]->x);
+ face_aabb.expand_to(face.n[2]->x);
+
+ face_aabb.grow_by(collision_margin);
+
+ face.leaf = face_tree.insert(face_aabb, &face);
+ }
+}
+
+void GodotSoftBody3D::update_face_tree(real_t p_delta) {
+ for (const Face &face : faces) {
+ AABB face_aabb;
+
+ const Node *node0 = face.n[0];
+ face_aabb.position = node0->x;
+ face_aabb.expand_to(node0->x + node0->v * p_delta);
+
+ const Node *node1 = face.n[1];
+ face_aabb.expand_to(node1->x);
+ face_aabb.expand_to(node1->x + node1->v * p_delta);
+
+ const Node *node2 = face.n[2];
+ face_aabb.expand_to(node2->x);
+ face_aabb.expand_to(node2->x + node2->v * p_delta);
+
+ face_aabb.grow_by(collision_margin);
+
+ face_tree.update(face.leaf, face_aabb);
+ }
+}
+
+void GodotSoftBody3D::initialize_shape(bool p_force_move) {
+ if (get_shape_count() == 0) {
+ GodotSoftBodyShape3D *soft_body_shape = memnew(GodotSoftBodyShape3D(this));
+ add_shape(soft_body_shape);
+ } else if (p_force_move) {
+ GodotSoftBodyShape3D *soft_body_shape = static_cast<GodotSoftBodyShape3D *>(get_shape(0));
+ soft_body_shape->update_bounds();
+ }
+}
+
+void GodotSoftBody3D::deinitialize_shape() {
+ if (get_shape_count() > 0) {
+ GodotShape3D *shape = get_shape(0);
+ remove_shape(shape);
+ memdelete(shape);
+ }
+}
+
+void GodotSoftBody3D::destroy() {
+ soft_mesh = RID();
+
+ map_visual_to_physics.clear();
+
+ node_tree.clear();
+ face_tree.clear();
+
+ nodes.clear();
+ links.clear();
+ faces.clear();
+
+ bounds = AABB();
+ deinitialize_shape();
+}
+
+void GodotSoftBodyShape3D::update_bounds() {
+ ERR_FAIL_NULL(soft_body);
+
+ AABB collision_aabb = soft_body->get_bounds();
+ collision_aabb.grow_by(soft_body->get_collision_margin());
+ configure(collision_aabb);
+}
+
+GodotSoftBodyShape3D::GodotSoftBodyShape3D(GodotSoftBody3D *p_soft_body) {
+ soft_body = p_soft_body;
+ update_bounds();
+}
+
+struct _SoftBodyIntersectSegmentInfo {
+ const GodotSoftBody3D *soft_body = nullptr;
+ Vector3 from;
+ Vector3 dir;
+ Vector3 hit_position;
+ uint32_t hit_face_index = -1;
+ real_t hit_dist_sq = INFINITY;
+
+ static bool process_hit(uint32_t p_face_index, void *p_userdata) {
+ _SoftBodyIntersectSegmentInfo &query_info = *(static_cast<_SoftBodyIntersectSegmentInfo *>(p_userdata));
+
+ Vector3 points[3];
+ query_info.soft_body->get_face_points(p_face_index, points[0], points[1], points[2]);
+
+ Vector3 result;
+ if (Geometry3D::ray_intersects_triangle(query_info.from, query_info.dir, points[0], points[1], points[2], &result)) {
+ real_t dist_sq = query_info.from.distance_squared_to(result);
+ if (dist_sq < query_info.hit_dist_sq) {
+ query_info.hit_dist_sq = dist_sq;
+ query_info.hit_position = result;
+ query_info.hit_face_index = p_face_index;
+ }
+ }
+
+ // Continue with the query.
+ return false;
+ }
+};
+
+bool GodotSoftBodyShape3D::intersect_segment(const Vector3 &p_begin, const Vector3 &p_end, Vector3 &r_result, Vector3 &r_normal, int &r_face_index, bool p_hit_back_faces) const {
+ _SoftBodyIntersectSegmentInfo query_info;
+ query_info.soft_body = soft_body;
+ query_info.from = p_begin;
+ query_info.dir = (p_end - p_begin).normalized();
+
+ soft_body->query_ray(p_begin, p_end, _SoftBodyIntersectSegmentInfo::process_hit, &query_info);
+
+ if (query_info.hit_dist_sq != INFINITY) {
+ r_result = query_info.hit_position;
+ r_normal = soft_body->get_face_normal(query_info.hit_face_index);
+ return true;
+ }
+
+ return false;
+}
+
+bool GodotSoftBodyShape3D::intersect_point(const Vector3 &p_point) const {
+ return false;
+}
+
+Vector3 GodotSoftBodyShape3D::get_closest_point_to(const Vector3 &p_point) const {
+ ERR_FAIL_V_MSG(Vector3(), "Get closest point is not supported for soft bodies.");
+}