protot/3rdparty/fcl/test/test_fcl_sphere_cylinder.cpp

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/*
* Software License Agreement (BSD License)
*
* Copyright (c) 2018. Toyota Research Institute
* All rights reserved.
*
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* modification, are permitted provided that the following conditions
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*
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above
* copyright notice, this list of conditions and the following
* disclaimer in the documentation and/or other materials provided
* with the distribution.
* * Neither the name of CNRS-LAAS and AIST nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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/** @author Sean Curtis <sean@tri.global> (2018) */
#include <memory>
#include <gtest/gtest.h>
#include <Eigen/Dense>
#include "eigen_matrix_compare.h"
#include "fcl/narrowphase/collision_object.h"
#include "fcl/narrowphase/distance.h"
// TODO(SeanCurtis-TRI): Modify this test so it can be re-used for the distance
// query -- such that the sphere is slightly separated instead of slightly
// penetrating. See test_sphere_cylinder.cpp for an example.
// This collides a cylinder with a sphere. The cylinder is disk-like with a
// large radius (r_c) and small height (h_c) and its geometric frame is aligned
// with the world frame. The sphere has radius r_s and is positioned at
// (sx, sy, sz) with an identity orientation. In this configuration, the sphere
// penetrates the cylinder slightly on the top face near the edge. The contact
// is *fully* contained in that face. (As illustrated below.)
//
// Side view
// z small sphere
// ┆ ↓
// ┏━━━━━━━━━━━━┿━━━━◯━━━━━━┓ ┬
// ┄┄┄┄┄┄╂┄┄┄┄┄┄┄┄┄┄┄┄┼┄┄┄┄┄┄┄┄┄┄┄╂┄ x h_c
// ┗━━━━━━━━━━━━┿━━━━━━━━━━━┛ ┴
// ┆
//
// ├──── r_c───┤
//
// Top view
// y
// ┆
// ******* small sphere ┬
// ** ┆ **
// * ┆ ◯ * │
// * ┆ * │
// * ┆ * r_c
// * ┆ * │
// * ┆ * │
// * ┆ * │
// ┄┄┄┄┄┄┄*┄┄┄┄┄┄┄┄┄┄┼┄┄┄┄┄┄┄┄┄┄*┄┄┄┄ x ┴
// * ┆ *
// * ┆ *
// * ┆ *
// * ┆ *
// * ┆ *
// * ┆ *
// ** ┆ **
// *******
// ┆
// Properties of expected outcome:
// - One contact *should* be reported,
// - Penetration depth δ should be: r_s - (sz - h_c / 2),
// - Contact point should be at: [sx, sy, h_c / 2 - δ / 2], and
// - Contact normal should be [0, 0, -1] (pointing from sphere into cylinder).
//
// NOTE: Orientation of the sphere should *not* make a difference and is not
// tested here; it relies on the sphere-cylinder primitive algorithm unit tests
// to have robustly tested that.
//
// This test *fails* if GJK is used to evaluate the collision. It passes if the
// custom sphere-cylinder algorithm is used, and, therefore, its purpose is to
// confirm that the custom algorithm is being applied. It doesn't exhaustively
// test sphere-cylinder collision. It merely confirms the tested primitive
// algorithm has been wired up correctly.
template <typename S>
void LargeCylinderSmallSphereTest(fcl::GJKSolverType solver_type) {
using fcl::Vector3;
using Real = typename fcl::constants<S>::Real;
const Real eps = fcl::constants<S>::eps();
// Configure geometry.
// Cylinder and sphere dimensions.
const Real r_c = 9;
const Real h_c = 0.0025;
const Real r_s = 0.0015;
auto sphere_geometry = std::make_shared<fcl::Sphere<S>>(r_s);
auto cylinder_geometry = std::make_shared<fcl::Cylinder<S>>(r_c, h_c);
// Pose of the cylinder in the world frame.
const fcl::Transform3<S> X_WC = fcl::Transform3<S>::Identity();
// Compute multiple sphere locations. All at the same height to produce a
// fixed, expected penetration depth of half of its radius. The reported
// position of the contact will have the x- and y- values of the sphere
// center, but be half the target_depth below the +z face, i.e.,
// pz = (h_c / 2) - (target_depth / 2)
const Real target_depth = r_s * 0.5;
// Sphere center's height (position in z).
const Real sz = h_c / 2 + r_s - target_depth;
const Real pz = h_c / 2 - target_depth / 2;
// This transform will get repeatedly modified in the nested for loop below.
fcl::Transform3<S> X_WS = fcl::Transform3<S>::Identity();
fcl::CollisionObject<S> sphere(sphere_geometry, X_WS);
fcl::CollisionObject<S> cylinder(cylinder_geometry, X_WC);
// Expected results. (Expected position is defined inside the for loop as it
// changes with each new position of the sphere.)
const S expected_depth = target_depth;
// This normal direction assumes the *sphere* is the first collision object.
// If the order is reversed, the normal must be likewise reversed.
const Vector3<S> expected_normal = -Vector3<S>::UnitZ();
// Set up the collision request.
fcl::CollisionRequest<S> collision_request(1 /* num contacts */,
true /* enable_contact */);
collision_request.gjk_solver_type = solver_type;
// Sample around the surface of the +z face on the disk for a fixed
// penetration depth. Note: the +z face is a disk with radius r_c. Notes on
// the selected samples:
// - We've picked positions such that the *whole* sphere projects onto the
// +z face. This *guarantees* that the contact is completely contained in
// the +z face so there is no possible ambiguity in the results.
// - We've picked points out near the boundaries, in the middle, and *near*
// zero without being zero. The GJK algorithm can actually provide the
// correct result at the (eps, eps) sample points. We leave those sample
// points in to confirm no degradation.
const std::vector<Real> r_values{0, eps, r_c / 2, r_c - r_s};
const S pi = fcl::constants<S>::pi();
const std::vector<Real> theta_values{0, pi/2, pi, 3 * pi / 4};
for (const Real r : r_values) {
for (const Real theta : theta_values ) {
// Don't just evaluate at nice, axis-aligned directions. Pick some number
// that can't be perfectly represented.
const Real angle = theta + pi / 7;
const Real sx = cos(angle) * r;
const Real sy = sin(angle) * r;
// Repose the sphere.
X_WS.translation() << sx, sy, sz;
sphere.setTransform(X_WS);
auto evaluate_collision = [&collision_request, &X_WS](
const fcl::CollisionObject<S>* s1, const fcl::CollisionObject<S>* s2,
S expected_depth, const Vector3<S>& expected_normal,
const Vector3<S>& expected_pos, Real eps) {
// Compute collision.
fcl::CollisionResult<S> collision_result;
std::size_t contact_count =
fcl::collide(s1, s2, collision_request, collision_result);
// Test answers
if (contact_count == collision_request.num_max_contacts) {
std::vector<fcl::Contact<S>> contacts;
collision_result.getContacts(contacts);
GTEST_ASSERT_EQ(contacts.size(), collision_request.num_max_contacts);
const fcl::Contact<S>& contact = contacts[0];
EXPECT_NEAR(contact.penetration_depth, expected_depth, eps)
<< "Sphere at: " << X_WS.translation().transpose();
EXPECT_TRUE(fcl::CompareMatrices(contact.normal,
expected_normal,
eps,
fcl::MatrixCompareType::absolute))
<< "Sphere at: " << X_WS.translation().transpose();
EXPECT_TRUE(fcl::CompareMatrices(
contact.pos, expected_pos, eps, fcl::MatrixCompareType::absolute))
<< "Sphere at: " << X_WS.translation().transpose();
} else {
EXPECT_TRUE(false) << "No contacts reported for sphere at: "
<< X_WS.translation().transpose();
}
};
Vector3<S> expected_pos{sx, sy, pz};
evaluate_collision(&sphere, &cylinder, expected_depth, expected_normal,
expected_pos, eps);
evaluate_collision(&cylinder, &sphere, expected_depth, -expected_normal,
expected_pos, eps);
}
}
}
GTEST_TEST(FCL_SPHERE_CYLINDER, LargCylinderSmallSphere_ccd) {
LargeCylinderSmallSphereTest<double>(fcl::GJKSolverType::GST_LIBCCD);
LargeCylinderSmallSphereTest<float>(fcl::GJKSolverType::GST_LIBCCD);
}
GTEST_TEST(FCL_SPHERE_CYLINDER, LargBoxSmallSphere_indep) {
LargeCylinderSmallSphereTest<double>(fcl::GJKSolverType::GST_INDEP);
LargeCylinderSmallSphereTest<float>(fcl::GJKSolverType::GST_INDEP);
}
//==============================================================================
int main(int argc, char* argv[]) {
::testing::InitGoogleTest(&argc, argv);
return RUN_ALL_TESTS();
}