Add Signed Distance Field to collision geometries.
PiperOrigin-RevId: 557507088 Change-Id: I358a642407aee1ba8dfc9d405eb9a4f609435fe9
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// Copyright 2022 DeepMind Technologies Limited
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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#include <cmath>
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#include <sstream>
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#include <optional>
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#include <mujoco/mjplugin.h>
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#include <mujoco/mjtnum.h>
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#include <mujoco/mujoco.h>
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#include "nut.h"
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namespace mujoco::plugin::sdf {
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namespace {
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static mjtNum distance(const mjtNum p[3], const mjtNum attributes[1]) {
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// see https://www.shadertoy.com/view/XtffzX
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mjtNum screw = 12;
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mjtNum radius2 = mju_sqrt(p[0]*p[0]+p[1]*p[1]) - attributes[0];
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mjtNum sqrt12 = mju_sqrt(2.)/2.;
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// a triangle wave spun around Oy, offset by the angle between x and z
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mjtNum azimuth = mju_atan2(p[1], p[0]);
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mjtNum triangle = abs(Fract(p[2] * screw - azimuth / mjPI / 2.) - .5);
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mjtNum thread2 = (radius2 - triangle / screw) * sqrt12;
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// clip the top
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mjtNum cone2 = (p[2] - radius2) * sqrt12;
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// the hole is the same thing, but substracted from the whole thing
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mjtNum hole = Subtraction(thread2, cone2 + .5 * sqrt12);
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hole = Union(hole, -cone2 - .05 * sqrt12);
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// create the hexagonal geometry for the head
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mjtNum point2D[2] = {p[0], p[1]};
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mjtNum res[2];
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mjtNum k = 6. / mjPI / 2.;
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mjtNum angle = -floor((mju_atan2(point2D[1], point2D[0])) * k + .5) / k;
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mjtNum s[2] = {mju_sin(angle), mju_sin(angle + mjPI * .5)};
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mjtNum mat[4] = {s[1], -s[0], s[0], s[1]};
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mju_mulMatVec(res, mat, point2D, 2, 2);
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mjtNum point3D[3] = {res[0], res[1], p[2]};
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mjtNum head = point3D[0] - .5;
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// the top is also rounded down with a cone
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head = Intersection(head, abs(point3D[2] + .25) - .25);
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head = Intersection(head, (point3D[2] + radius2 - .22) * sqrt12);
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return Subtraction(head, hole);
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}
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} // namespace
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// factory function
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std::optional<Nut> Nut::Create(
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const mjModel* m, mjData* d, int instance) {
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if (CheckAttr("radius", m, instance)) {
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return Nut(m, d, instance);
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} else {
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mju_warning("Invalid parameter specification in Nut plugin");
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return std::nullopt;
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}
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}
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// plugin constructor
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Nut::Nut(const mjModel* m, mjData* d, int instance) {
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radius = strtod(mj_getPluginConfig(m, instance, "radius"), nullptr);
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}
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// plugin computation
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void Nut::Compute(const mjModel* m, mjData* d, int instance) {
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visualizer_.Next();
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}
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// plugin reset
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void Nut::Reset() {
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visualizer_.Reset();
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}
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// plugin visualization
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void Nut::Visualize(const mjModel* m, mjData* d, const mjvOption* opt,
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mjvScene* scn, int instance) {
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visualizer_.Visualize(m, d, opt, scn, instance);
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}
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// sdf
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mjtNum Nut::Distance(const mjtNum point[3]) const {
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return distance(point, &radius);
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}
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// gradient of sdf
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void Nut::Gradient(mjtNum grad[3], const mjtNum point[3]) const {
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mjtNum eps = 1e-8;
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mjtNum dist0 = distance(point, &radius);
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mjtNum pointX[3] = {point[0]+eps, point[1], point[2]};
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mjtNum distX = distance(pointX, &radius);
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mjtNum pointY[3] = {point[0], point[1]+eps, point[2]};
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mjtNum distY = distance(pointY, &radius);
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mjtNum pointZ[3] = {point[0], point[1], point[2]+eps};
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mjtNum distZ = distance(pointZ, &radius);
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grad[0] = (distX - dist0) / eps;
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grad[1] = (distY - dist0) / eps;
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grad[2] = (distZ - dist0) / eps;
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}
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// plugin registration
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void Nut::RegisterPlugin() {
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mjpPlugin plugin;
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mjp_defaultPlugin(&plugin);
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plugin.name = "mujoco.sdf.nut";
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plugin.capabilityflags |= mjPLUGIN_SDF;
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const char* attributes[] = {"radius"};
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plugin.nattribute = sizeof(attributes) / sizeof(attributes[0]);
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plugin.attributes = attributes;
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plugin.nstate = +[](const mjModel* m, int instance) { return 0; };
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plugin.init = +[](const mjModel* m, mjData* d, int instance) {
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auto sdf_or_null = Nut::Create(m, d, instance);
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if (!sdf_or_null.has_value()) {
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return -1;
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}
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d->plugin_data[instance] = reinterpret_cast<uintptr_t>(
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new Nut(std::move(*sdf_or_null)));
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return 0;
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};
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plugin.destroy = +[](mjData* d, int instance) {
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delete reinterpret_cast<Nut*>(d->plugin_data[instance]);
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d->plugin_data[instance] = 0;
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};
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plugin.reset = +[](const mjModel* m, double* plugin_state, void* plugin_data,
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int instance) {
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auto sdf = reinterpret_cast<Nut*>(plugin_data);
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sdf->Reset();
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};
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plugin.visualize = +[](const mjModel* m, mjData* d, const mjvOption* opt,
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mjvScene* scn, int instance) {
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auto* sdf = reinterpret_cast<Nut*>(d->plugin_data[instance]);
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sdf->Visualize(m, d, opt, scn, instance);
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};
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plugin.compute =
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+[](const mjModel* m, mjData* d, int instance, int capability_bit) {
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auto* sdf = reinterpret_cast<Nut*>(d->plugin_data[instance]);
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sdf->Compute(m, d, instance);
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};
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plugin.sdf_distance =
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+[](const mjtNum point[3], const mjData* d, int instance) {
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auto* sdf = reinterpret_cast<Nut*>(d->plugin_data[instance]);
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sdf->visualizer_.AddPoint(point);
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return sdf->Distance(point);
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};
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plugin.sdf_gradient = +[](mjtNum gradient[3], const mjtNum point[3],
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const mjData* d, int instance) {
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auto* sdf = reinterpret_cast<Nut*>(d->plugin_data[instance]);
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sdf->Gradient(gradient, point);
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};
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plugin.sdf_staticdistance =
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+[](const mjtNum point[3], const mjtNum* attributes) {
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return distance(point, attributes);
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};
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plugin.sdf_aabb =
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+[](mjtNum aabb[6], const mjtNum* attributes) {
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aabb[0] = aabb[1] = aabb[2] = 0;
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aabb[3] = aabb[4] = .6;
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aabb[5] = 1;
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};
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mjp_registerPlugin(&plugin);
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}
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} // namespace mujoco::plugin::sdf
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