Directory: | ./ |
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File: | test/swept_sphere_radius.cpp |
Date: | 2025-04-01 09:23:31 |
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1 | /* | ||
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34 | |||
35 | /** \author Louis Montaut */ | ||
36 | |||
37 | #define BOOST_TEST_MODULE COAL_SWEPT_SPHERE_RADIUS | ||
38 | #include <boost/test/included/unit_test.hpp> | ||
39 | |||
40 | #include "coal/narrowphase/narrowphase.h" | ||
41 | #include "coal/collision_utility.h" | ||
42 | |||
43 | #include "coal/serialization/geometric_shapes.h" | ||
44 | #include "coal/serialization/convex.h" | ||
45 | #include "coal/serialization/transform.h" | ||
46 | #include "coal/serialization/archive.h" | ||
47 | |||
48 | #include "utility.h" | ||
49 | |||
50 | using namespace coal; | ||
51 | |||
52 | NODE_TYPE node1_type; | ||
53 | NODE_TYPE node2_type; | ||
54 | int line; | ||
55 | |||
56 | #define SET_LINE \ | ||
57 | node1_type = shape1.getNodeType(); \ | ||
58 | node2_type = shape2.getNodeType(); \ | ||
59 | line = __LINE__ | ||
60 | |||
61 | #define COAL_CHECK(cond) \ | ||
62 | BOOST_CHECK_MESSAGE( \ | ||
63 | cond, "from line " << line << ", for collision pair: " \ | ||
64 | << get_node_type_name(node1_type) << " - " \ | ||
65 | << get_node_type_name(node2_type) \ | ||
66 | << " with ssr1 = " << shape1.getSweptSphereRadius() \ | ||
67 | << ", ssr2 = " << shape2.getSweptSphereRadius() \ | ||
68 | << ": " #cond) | ||
69 | |||
70 | #define COAL_CHECK_VECTOR_CLOSE(v1, v2, tol) \ | ||
71 | EIGEN_VECTOR_IS_APPROX(v1, v2, tol); \ | ||
72 | COAL_CHECK(((v1) - (v2)).isZero(tol)) | ||
73 | |||
74 | #define COAL_CHECK_REAL_CLOSE(v1, v2, tol) \ | ||
75 | Scalar_IS_APPROX(v1, v2, tol); \ | ||
76 | COAL_CHECK(std::abs((v1) - (v2)) < tol) | ||
77 | |||
78 | #define COAL_CHECK_CONDITION(cond) \ | ||
79 | BOOST_CHECK(cond); \ | ||
80 | COAL_CHECK(cond) | ||
81 | |||
82 | // Preambule: swept sphere radius allows to virually convolve geometric shapes | ||
83 | // by a sphere with positive radius (Minkowski sum). | ||
84 | // Sweeping a shape by a sphere corresponds to doing a Minkowski addition of the | ||
85 | // shape with a sphere of radius r. Essentially, this rounds the shape's corners | ||
86 | // and edges, which can be useful to smooth collision detection algorithms. | ||
87 | // | ||
88 | // A nice mathematical property of GJK and EPA is that it is not | ||
89 | // necessary to take into account the swept sphere radius in the iterations of | ||
90 | // the algorithms. This is because the GJK and EPA algorithms are based on the | ||
91 | // Minkowski difference of the two objects. | ||
92 | // With spheres of radii r1 and r2 swept around the shapes s1 and s2 of a | ||
93 | // collision pair, the Minkowski difference is simply the Minkowski difference | ||
94 | // of s1 and s2, summed with a sphere of radius r1 + r2. | ||
95 | // This means that running GJK and EPA on the swept-sphere shapes is equivalent | ||
96 | // to running GJK and EPA on the original shapes, and then augmenting the | ||
97 | // distance by r1 + r2. | ||
98 | // This does not modify the normal returned by GJK and EPA. | ||
99 | // So we can also easily recover the witness points of the swept sphere shapes. | ||
100 | // | ||
101 | // This suite of test is designed to verify that property and generally test for | ||
102 | // swept-sphere radius support in Coal. | ||
103 | // Notes: | ||
104 | // - not all collision pairs use GJK/EPA, so this test makes sure that | ||
105 | // swept-sphere radius is taken into account even for specialized collision | ||
106 | // algorithms. | ||
107 | // - when manually taking swept-sphere radius into account in GJK/EPA, we | ||
108 | // strongly deteriorate the convergence properties of the algorithms. This | ||
109 | // is because certain parts of the shapes become locally strictly convex, | ||
110 | // which GJK/EPA are not designed to handle. This becomes particularly the | ||
111 | // bigger the swept-sphere radius. So don't be surprised if the tests fail | ||
112 | // for large radii. | ||
113 | |||
114 | struct SweptSphereGJKSolver : public GJKSolver { | ||
115 | template <typename S1, typename S2> | ||
116 | 6400 | Scalar shapeDistance( | |
117 | const S1& s1, const Transform3s& tf1, const S2& s2, | ||
118 | const Transform3s& tf2, bool compute_penetration, Vec3s& p1, Vec3s& p2, | ||
119 | Vec3s& normal, bool use_swept_sphere_radius_in_gjk_epa_iterations) const { | ||
120 |
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6400 | if (use_swept_sphere_radius_in_gjk_epa_iterations) { |
121 | Scalar distance; | ||
122 |
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3200 | this->runGJKAndEPA<S1, S2, details::SupportOptions::WithSweptSphere>( |
123 | s1, tf1, s2, tf2, compute_penetration, distance, p1, p2, normal); | ||
124 | 3200 | return distance; | |
125 | } | ||
126 | |||
127 | // Default behavior of coal's GJKSolver | ||
128 | Scalar distance; | ||
129 |
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3200 | this->runGJKAndEPA<S1, S2, details::SupportOptions::NoSweptSphere>( |
130 | s1, tf1, s2, tf2, compute_penetration, distance, p1, p2, normal); | ||
131 | 3200 | return distance; | |
132 | } | ||
133 | }; | ||
134 | |||
135 | template <typename S1, typename S2> | ||
136 | 20 | void test_gjksolver_swept_sphere_radius(S1& shape1, S2& shape2) { | |
137 |
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20 | SweptSphereGJKSolver solver; |
138 | // The swept sphere radius is detrimental to the convergence of GJK | ||
139 | // and EPA. This gets worse as the radius of the swept sphere increases. | ||
140 | // So we need to increase the number of iterations to get a good result. | ||
141 | 20 | const Scalar tol = Scalar(1e-6); | |
142 | 20 | solver.gjk_tolerance = tol; | |
143 | 20 | solver.epa_tolerance = tol; | |
144 | 20 | solver.epa_max_iterations = 1000; | |
145 | 20 | const bool compute_penetration = true; | |
146 | |||
147 | 20 | Scalar extents[] = {-2, -2, -2, 2, 2, 2}; | |
148 | 20 | std::size_t n = 10; | |
149 | 20 | std::vector<Transform3s> tf1s; | |
150 | 20 | std::vector<Transform3s> tf2s; | |
151 |
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20 | generateRandomTransforms(extents, tf1s, n); |
152 |
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20 | generateRandomTransforms(extents, tf2s, n); |
153 | 20 | const std::array<Scalar, 4> swept_sphere_radius = {0, Scalar(0.1), 1, 10}; | |
154 | |||
155 |
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100 | for (const Scalar& ssr1 : swept_sphere_radius) { |
156 |
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80 | shape1.setSweptSphereRadius(ssr1); |
157 |
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400 | for (const Scalar& ssr2 : swept_sphere_radius) { |
158 |
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320 | shape2.setSweptSphereRadius(ssr2); |
159 |
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3520 | for (std::size_t i = 0; i < n; ++i) { |
160 |
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3200 | Transform3s tf1 = tf1s[i]; |
161 |
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3200 | Transform3s tf2 = tf2s[i]; |
162 | |||
163 |
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3200 | SET_LINE; |
164 | |||
165 | std::array<Scalar, 2> distance; | ||
166 |
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3200 | std::array<Vec3s, 2> p1; |
167 |
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3200 | std::array<Vec3s, 2> p2; |
168 |
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3200 | std::array<Vec3s, 2> normal; |
169 | |||
170 | // Default coal behavior - Don't take swept sphere radius into account | ||
171 | // during GJK/EPA iterations. Correct the solution afterwards. | ||
172 | 6400 | distance[0] = | |
173 |
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3200 | solver.shapeDistance(shape1, tf1, shape2, tf2, compute_penetration, |
174 | p1[0], p2[0], normal[0], false); | ||
175 | |||
176 | // Take swept sphere radius into account during GJK/EPA iterations | ||
177 | 6400 | distance[1] = | |
178 |
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3200 | solver.shapeDistance(shape1, tf1, shape2, tf2, compute_penetration, |
179 | p1[1], p2[1], normal[1], true); | ||
180 | |||
181 | // Precision is dependent on the swept-sphere radius. | ||
182 | // The issue of precision does not come from the default behavior of | ||
183 | // coal, but from the result in which we manually take the swept | ||
184 | // sphere radius into account in GJK/EPA iterations. | ||
185 | 3200 | const Scalar precision = | |
186 | 3200 | 3 * sqrt(tol) + | |
187 | 3200 | (1 / Scalar(100)) * std::max(shape1.getSweptSphereRadius(), | |
188 | 6400 | shape2.getSweptSphereRadius()); | |
189 | |||
190 | // Check that the distance is the same | ||
191 |
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3200 | COAL_CHECK_REAL_CLOSE(distance[0], distance[1], precision); |
192 | |||
193 | // Check that the normal is the same | ||
194 |
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3200 | COAL_CHECK_CONDITION(normal[0].dot(normal[1]) > 0); |
195 |
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3200 | COAL_CHECK_CONDITION(std::abs(1 - normal[0].dot(normal[1])) < |
196 | precision); | ||
197 | |||
198 | // Check that the witness points are the same | ||
199 |
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3200 | COAL_CHECK_VECTOR_CLOSE(p1[0], p1[1], precision); |
200 |
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3200 | COAL_CHECK_VECTOR_CLOSE(p2[0], p2[1], precision); |
201 | } | ||
202 | } | ||
203 | } | ||
204 | 20 | } | |
205 | |||
206 | static const Scalar min_shape_size = Scalar(0.1); | ||
207 | static const Scalar max_shape_size = Scalar(0.5); | ||
208 | |||
209 |
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4 | BOOST_AUTO_TEST_CASE(ssr_mesh_mesh) { |
210 |
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2 | Convex<Triangle> shape1 = makeRandomConvex(min_shape_size, max_shape_size); |
211 |
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2 | Convex<Triangle> shape2 = makeRandomConvex(min_shape_size, max_shape_size); |
212 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
213 | 2 | } | |
214 | |||
215 |
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4 | BOOST_AUTO_TEST_CASE(ssr_mesh_ellipsoid) { |
216 |
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2 | Convex<Triangle> shape1 = makeRandomConvex(min_shape_size, max_shape_size); |
217 |
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2 | Ellipsoid shape2 = makeRandomEllipsoid(min_shape_size, max_shape_size); |
218 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
219 | 2 | } | |
220 | |||
221 |
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4 | BOOST_AUTO_TEST_CASE(ssr_box_box) { |
222 |
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2 | Box shape1 = makeRandomBox(min_shape_size, max_shape_size); |
223 |
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2 | Box shape2 = makeRandomBox(min_shape_size, max_shape_size); |
224 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
225 | 2 | } | |
226 | |||
227 |
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4 | BOOST_AUTO_TEST_CASE(ssr_ellipsoid_ellipsoid) { |
228 |
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2 | Ellipsoid shape1 = makeRandomEllipsoid(min_shape_size, max_shape_size); |
229 |
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2 | Ellipsoid shape2 = makeRandomEllipsoid(min_shape_size, max_shape_size); |
230 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
231 | 2 | } | |
232 | |||
233 |
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4 | BOOST_AUTO_TEST_CASE(ssr_ellipsoid_box) { |
234 |
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2 | Ellipsoid shape1 = makeRandomEllipsoid(min_shape_size, max_shape_size); |
235 |
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2 | Box shape2 = makeRandomBox(min_shape_size, max_shape_size); |
236 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
237 | 2 | } | |
238 | |||
239 |
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4 | BOOST_AUTO_TEST_CASE(ssr_cone_cone) { |
240 | Cone shape1 = makeRandomCone({min_shape_size / 2, min_shape_size}, | ||
241 |
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2 | {max_shape_size, max_shape_size}); |
242 | Cone shape2 = makeRandomCone({min_shape_size / 2, min_shape_size}, | ||
243 |
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2 | {max_shape_size, max_shape_size}); |
244 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
245 | 2 | } | |
246 | |||
247 |
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4 | BOOST_AUTO_TEST_CASE(ssr_cone_ellipsoid) { |
248 | Cone shape1 = makeRandomCone({min_shape_size / 2, min_shape_size}, | ||
249 |
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2 | {max_shape_size, max_shape_size}); |
250 |
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2 | Ellipsoid shape2 = makeRandomEllipsoid(min_shape_size, max_shape_size); |
251 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
252 | 2 | } | |
253 | |||
254 |
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4 | BOOST_AUTO_TEST_CASE(ssr_capsule_capsule) { |
255 | Capsule shape1 = makeRandomCapsule({min_shape_size / 2, min_shape_size}, | ||
256 |
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2 | {max_shape_size, max_shape_size}); |
257 | Capsule shape2 = makeRandomCapsule({min_shape_size / 2, min_shape_size}, | ||
258 |
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2 | {max_shape_size, max_shape_size}); |
259 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
260 | 2 | } | |
261 | |||
262 |
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4 | BOOST_AUTO_TEST_CASE(ssr_capsule_cone) { |
263 | Capsule shape1 = makeRandomCapsule({min_shape_size / 2, min_shape_size}, | ||
264 |
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2 | {max_shape_size, max_shape_size}); |
265 | Cone shape2 = makeRandomCone({min_shape_size / 2, min_shape_size}, | ||
266 |
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2 | {max_shape_size, max_shape_size}); |
267 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
268 | 2 | } | |
269 | |||
270 |
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4 | BOOST_AUTO_TEST_CASE(ssr_cylinder_cylinder) { |
271 | Cylinder shape1 = makeRandomCylinder({min_shape_size / 2, min_shape_size}, | ||
272 |
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2 | {max_shape_size, max_shape_size}); |
273 | Cylinder shape2 = makeRandomCylinder({min_shape_size / 2, min_shape_size}, | ||
274 |
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2 | {max_shape_size, max_shape_size}); |
275 |
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2 | test_gjksolver_swept_sphere_radius(shape1, shape2); |
276 | 2 | } | |
277 | |||
278 | template <typename S1, typename S2> | ||
279 | 77 | void test_collide_swept_sphere_radius(S1& shape1, S2& shape2) { | |
280 | std::cout << "Testing collision between " | ||
281 |
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154 | << std::string(get_node_type_name(shape1.getNodeType())) << " and " |
282 |
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154 | << std::string(get_node_type_name(shape2.getNodeType())) << '\n'; |
283 | |||
284 | 77 | Scalar extents[] = {-2, -2, -2, 2, 2, 2}; | |
285 | 77 | std::size_t n = 1; | |
286 | 77 | std::vector<Transform3s> tf1s; | |
287 | 77 | std::vector<Transform3s> tf2s; | |
288 |
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77 | generateRandomTransforms(extents, tf1s, n); |
289 |
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77 | generateRandomTransforms(extents, tf2s, n); |
290 | |||
291 | 77 | const std::array<Scalar, 4> swept_sphere_radius = {0, Scalar(0.1), 1, 10}; | |
292 |
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385 | for (const Scalar& ssr1 : swept_sphere_radius) { |
293 |
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308 | shape1.setSweptSphereRadius(ssr1); |
294 |
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1540 | for (const Scalar& ssr2 : swept_sphere_radius) { |
295 |
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1232 | shape2.setSweptSphereRadius(ssr2); |
296 |
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2464 | for (std::size_t i = 0; i < n; ++i) { |
297 |
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1232 | Transform3s tf1 = tf1s[i]; |
298 |
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1232 | Transform3s tf2 = tf2s[i]; |
299 | |||
300 |
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1232 | SET_LINE; |
301 |
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1232 | CollisionRequest request; |
302 | 1232 | request.enable_contact = true; | |
303 | // We make sure we get witness points by setting the security margin to | ||
304 | // infinity. That way shape1 and shape2 will always be considered in | ||
305 | // collision. | ||
306 | 1232 | request.security_margin = std::numeric_limits<Scalar>::max(); | |
307 | 1232 | const Scalar tol = Scalar(1e-6); | |
308 | 1232 | request.gjk_tolerance = tol; | |
309 | 1232 | request.epa_tolerance = tol; | |
310 | |||
311 |
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1232 | std::array<CollisionResult, 2> result; |
312 | |||
313 | // Without swept sphere radius | ||
314 | 1232 | const Scalar ssr1 = shape1.getSweptSphereRadius(); | |
315 | 1232 | const Scalar ssr2 = shape2.getSweptSphereRadius(); | |
316 |
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1232 | shape1.setSweptSphereRadius(0.); |
317 |
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1232 | shape2.setSweptSphereRadius(0.); |
318 |
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1232 | coal::collide(&shape1, tf1, &shape2, tf2, request, result[0]); |
319 | |||
320 | // With swept sphere radius | ||
321 |
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1232 | shape1.setSweptSphereRadius(ssr1); |
322 |
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1232 | shape2.setSweptSphereRadius(ssr2); |
323 |
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1232 | coal::collide(&shape1, tf1, &shape2, tf2, request, result[1]); |
324 | |||
325 |
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1232 | BOOST_CHECK(result[0].isCollision()); |
326 |
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1232 | BOOST_CHECK(result[1].isCollision()); |
327 |
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1232 | if (result[0].isCollision() && result[1].isCollision()) { |
328 |
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1232 | std::array<Contact, 2> contact; |
329 |
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1232 | contact[0] = result[0].getContact(0); |
330 |
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1232 | contact[1] = result[1].getContact(0); |
331 | |||
332 | // Precision is dependent on the swept sphere radii. | ||
333 | // The issue of precision does not come from the default behavior of | ||
334 | // coal, but from the result in which we manually take the swept | ||
335 | // sphere radius into account in GJK/EPA iterations. | ||
336 | 1232 | const Scalar precision = | |
337 | 1232 | 3 * sqrt(tol) + (1 / Scalar(100)) * std::max(ssr1, ssr2); | |
338 | 1232 | const Scalar ssr = ssr1 + ssr2; | |
339 | |||
340 | // Check that the distance is the same | ||
341 |
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1232 | COAL_CHECK_REAL_CLOSE(contact[0].penetration_depth - ssr, |
342 | contact[1].penetration_depth, precision); | ||
343 | |||
344 | // Check that the normal is the same | ||
345 |
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1232 | COAL_CHECK_CONDITION((contact[0].normal).dot(contact[1].normal) > 0); |
346 |
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1232 | COAL_CHECK_CONDITION( |
347 | std::abs(1 - (contact[0].normal).dot(contact[1].normal)) < | ||
348 | precision); | ||
349 | |||
350 | // Check that the witness points are the same | ||
351 |
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1232 | COAL_CHECK_VECTOR_CLOSE( |
352 | contact[0].nearest_points[0] + ssr1 * contact[0].normal, | ||
353 | contact[1].nearest_points[0], precision); | ||
354 |
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1232 | COAL_CHECK_VECTOR_CLOSE( |
355 | contact[0].nearest_points[1] - ssr2 * contact[0].normal, | ||
356 | contact[1].nearest_points[1], precision); | ||
357 | } | ||
358 | } | ||
359 | } | ||
360 | } | ||
361 | 77 | } | |
362 | |||
363 | const std::vector<NODE_TYPE> tested_geometries = { | ||
364 | GEOM_BOX, GEOM_SPHERE, GEOM_ELLIPSOID, GEOM_CAPSULE, GEOM_CONE, | ||
365 | GEOM_CYLINDER, GEOM_CONVEX, GEOM_PLANE, GEOM_HALFSPACE}; | ||
366 | |||
367 |
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4 | BOOST_AUTO_TEST_CASE(ssr_geom_geom) { |
368 | // Each possible geom pair is tested twice | ||
369 |
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20 | for (const NODE_TYPE& shape_type1 : tested_geometries) { |
370 |
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180 | for (const NODE_TYPE& shape_type2 : tested_geometries) { |
371 |
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162 | if (shape_type1 == GEOM_PLANE || shape_type1 == GEOM_HALFSPACE) { |
372 |
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36 | if (shape_type2 == GEOM_PLANE || shape_type2 == GEOM_HALFSPACE) { |
373 | // TODO(louis): check plane-plane plane-halfspace etc. collisions | ||
374 | 8 | continue; | |
375 | } | ||
376 | } | ||
377 |
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154 | std::shared_ptr<ShapeBase> shape1 = makeRandomGeometry(shape_type1); |
378 |
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154 | std::shared_ptr<ShapeBase> shape2 = makeRandomGeometry(shape_type2); |
379 |
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154 | test_collide_swept_sphere_radius(*shape1, *shape2); |
380 | 154 | } | |
381 | } | ||
382 | 2 | } | |
383 |