Directory: | ./ |
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File: | tests/test-operations.cpp |
Date: | 2025-03-05 17:18:30 |
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Lines: | 253 | 253 | 100.0% |
Branches: | 1057 | 2304 | 45.9% |
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1 | #define BOOST_TEST_MODULE test_operations | ||
2 | |||
3 | #include <boost/test/included/unit_test.hpp> | ||
4 | |||
5 | #include "load_problem.h" | ||
6 | #include "ndcurves/bezier_curve.h" | ||
7 | #include "ndcurves/cubic_hermite_spline.h" | ||
8 | #include "ndcurves/curve_conversion.h" | ||
9 | #include "ndcurves/exact_cubic.h" | ||
10 | #include "ndcurves/fwd.h" | ||
11 | #include "ndcurves/helpers/effector_spline.h" | ||
12 | #include "ndcurves/helpers/effector_spline_rotation.h" | ||
13 | #include "ndcurves/optimization/definitions.h" | ||
14 | #include "ndcurves/piecewise_curve.h" | ||
15 | #include "ndcurves/polynomial.h" | ||
16 | #include "ndcurves/se3_curve.h" | ||
17 | #include "ndcurves/serialization/curves.hpp" | ||
18 | #include "ndcurves/so3_linear.h" | ||
19 | |||
20 | using namespace ndcurves; | ||
21 | |||
22 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
23 | |||
24 | 3555 | void compDouble(const double a, const double b) { | |
25 | #if BOOST_VERSION <= 105800 | ||
26 | BOOST_CHECK(std::abs(a - b) <= 0.001); | ||
27 | #else | ||
28 |
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3555 | BOOST_TEST(a == b, boost::test_tools::tolerance(0.001)); |
29 | #endif | ||
30 | 3555 | } | |
31 | |||
32 |
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4 | BOOST_AUTO_TEST_CASE(crossPoductBezier) { |
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2 | t_pointX_t vec1; |
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2 | t_pointX_t vec2; |
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10 | for (int i = 0; i < 4; ++i) { |
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8 | vec1.push_back(Eigen::Vector3d::Random()); |
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8 | vec2.push_back(Eigen::Vector3d::Random()); |
38 | } | ||
39 |
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8 | for (int i = 0; i < 3; ++i) { |
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6 | vec1.push_back(Eigen::Vector3d::Random()); |
41 | } | ||
42 |
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2 | bezier_t p1(vec1.begin(), vec1.end(), 0., 1.); |
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2 | bezier_t p2(vec2.begin(), vec2.end(), 0., 1.); |
44 | |||
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2 | bezier_t pCross(p1.cross(p2)); |
46 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
47 | 202 | double dt = i / 100.; | |
48 |
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202 | Eigen::Vector3d v1 = p1(dt); |
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202 | Eigen::Vector3d v2 = p2(dt); |
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202 | compDouble((pCross(dt) - v1.cross(v2)).norm(), 0.); |
51 | } | ||
52 | 2 | } | |
53 | |||
54 |
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4 | BOOST_AUTO_TEST_CASE(bezierOperations) { |
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2 | t_pointX_t vec1; |
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2 | t_pointX_t vec2; |
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8 | for (int i = 0; i < 3; ++i) { |
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6 | vec1.push_back(Eigen::Vector3d::Random()); |
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6 | vec2.push_back(Eigen::Vector3d::Random()); |
60 | } | ||
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10 | for (int i = 0; i < 4; ++i) { |
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8 | vec1.push_back(Eigen::Vector3d::Random()); |
63 | } | ||
64 |
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2 | bezier_t p1(vec1.begin(), vec1.end(), 0.2, .8); |
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2 | bezier_t p2(vec2.begin(), vec2.end(), 0.2, .8); |
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2 | bezier_t p1Dev = p1.compute_derivate(2); |
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2 | bezier_t p3(vec2.begin(), vec2.end(), 0.2, 0.5); |
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2 | bezier_t p4(vec2.begin(), vec2.end(), 0.1, .8); |
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2 | bezier_t p5(vec2.begin(), vec2.end(), 0.1, .5); |
70 | 2 | double k = 10.2; | |
71 | |||
72 |
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4 | BOOST_CHECK_THROW(p1 + p3, std::exception); |
73 |
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4 | BOOST_CHECK_THROW(p1 - p3, std::exception); |
74 |
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4 | BOOST_CHECK_THROW(p1 + p4, std::exception); |
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4 | BOOST_CHECK_THROW(p1 - p4, std::exception); |
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4 | BOOST_CHECK_THROW(p1 + p5, std::exception); |
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4 | BOOST_CHECK_THROW(p1 - p5, std::exception); |
78 | |||
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2 | bezier_t pSum = p1 + p2; |
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2 | bezier_t pSumR = p2 + p1; |
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2 | bezier_t pSumDev = p1Dev + p2; |
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2 | bezier_t pSumRDev = p2 + p1Dev; |
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2 | bezier_t pSub = p1 - p2; |
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2 | bezier_t pSubR = p2 - p1; |
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2 | bezier_t pSubDev = p1Dev - p2; |
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2 | bezier_t pSubRDev = p2 - p1Dev; |
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2 | bezier_t pdiv = p1 / k; |
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2 | bezier_t pMul = p1 * k; |
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2 | bezier_t pMulR = k * p1; |
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2 | bezier_t pNeg = -p1; |
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124 | for (double i = 20; i <= 80.; ++i) { |
92 | 122 | double dt = i / 100.; | |
93 |
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122 | compDouble((pSum(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
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122 | compDouble((pSumR(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
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122 | compDouble((pSumDev(dt) - (p1Dev(dt) + p2(dt))).norm(), 0.); |
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122 | compDouble((pSumRDev(dt) - (p1Dev(dt) + p2(dt))).norm(), 0.); |
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122 | compDouble((pSub(dt) - (p1(dt) - p2(dt))).norm(), 0.); |
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122 | compDouble((pSubR(dt) - (p2(dt) - p1(dt))).norm(), 0.); |
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122 | compDouble((pSubDev(dt) - (p1Dev(dt) - p2(dt))).norm(), 0.); |
100 |
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122 | compDouble((pSubRDev(dt) - (p2(dt) - p1Dev(dt))).norm(), 0.); |
101 |
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122 | compDouble((pMul(dt) - p1(dt) * k).norm(), 0.); |
102 |
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122 | compDouble((pMulR(dt) - p1(dt) * k).norm(), 0.); |
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122 | compDouble((pdiv(dt) - p1(dt) / k).norm(), 0.); |
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122 | compDouble((pNeg(dt) + p1(dt)).norm(), 0); |
105 | } | ||
106 | |||
107 |
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2 | pSum = bezier_t(p1); |
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2 | pSum += p2; |
109 |
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2 | pSub = p1; |
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2 | pSub -= p2; |
111 |
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2 | pdiv = p1; |
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2 | pdiv /= k; |
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2 | pMul = p1; |
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2 | pMul *= k; |
115 |
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124 | for (double i = 20; i <= 80.; ++i) { |
116 | 122 | double dt = i / 100.; | |
117 |
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122 | compDouble((pSum(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
118 |
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122 | compDouble((pSub(dt) - (p1(dt) - p2(dt))).norm(), 0.); |
119 |
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122 | compDouble((pMul(dt) - p1(dt) * k).norm(), 0.); |
120 |
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122 | compDouble((pdiv(dt) - p1(dt) / k).norm(), 0.); |
121 | } | ||
122 | 2 | } | |
123 | |||
124 |
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4 | BOOST_AUTO_TEST_CASE(bezierPointOperations) { |
125 |
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2 | t_pointX_t vec1; |
126 |
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14 | for (int i = 0; i < 6; ++i) { |
127 |
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12 | vec1.push_back(Eigen::Vector3d::Random()); |
128 | } | ||
129 | |||
130 |
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2 | bezier_t p1(vec1.begin(), vec1.end(), 0., 1.); |
131 |
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2 | Eigen::Vector3d point = bezier_t::point_t::Random(3); |
132 | |||
133 |
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2 | bezier_t pSum = p1 + point; |
134 |
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2 | bezier_t pSumR = point + p1; |
135 |
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2 | bezier_t pSub = p1 - point; |
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2 | bezier_t pSubR = point - p1; |
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2 | bezier_t pcross = p1.cross(point); |
138 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
139 | 202 | double dt = i / 100.; | |
140 |
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202 | compDouble((pSum(dt) - (p1(dt) + point)).norm(), 0.); |
141 |
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202 | compDouble((pSumR(dt) - (p1(dt) + point)).norm(), 0.); |
142 |
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202 | compDouble((pSub(dt) - (p1(dt) - point)).norm(), 0.); |
143 |
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202 | compDouble((pSubR(dt) - (point - p1(dt))).norm(), 0.); |
144 |
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202 | Eigen::Vector3d p1dt = p1(dt); |
145 |
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202 | compDouble((pcross(dt) - (p1dt.cross(point))).norm(), 0.); |
146 | } | ||
147 | 2 | } | |
148 | |||
149 |
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4 | BOOST_AUTO_TEST_CASE(crossPoductLinearVariable) { |
150 |
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2 | linear_variable_t l1(Eigen::Matrix3d::Identity() * 5., |
151 |
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6 | Eigen::Vector3d::Random()); |
152 |
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2 | linear_variable_t l2(Eigen::Matrix3d::Identity() * 1., |
153 |
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6 | Eigen::Vector3d::Random()); |
154 |
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4 | linear_variable_t lE(Eigen::Matrix3d::Random(), Eigen::Vector3d::Random()); |
155 |
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4 | BOOST_CHECK_THROW(l1.cross(lE), std::exception); |
156 |
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4 | BOOST_CHECK_THROW(lE.cross(l1), std::exception); |
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2 | linear_variable_t lcross = l1.cross(l2); |
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22 | for (int i = 0; i < 10; ++i) { |
159 |
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20 | Eigen::Vector3d x = Eigen::Vector3d::Random(); |
160 |
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20 | Eigen::Vector3d v1 = l1(x); |
161 |
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20 | Eigen::Vector3d v2 = l2(x); |
162 |
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20 | compDouble((lcross(x) - v1.cross(v2)).norm(), 0.); |
163 | } | ||
164 | 2 | } | |
165 | |||
166 |
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4 | BOOST_AUTO_TEST_CASE(crossProductBezierLinearVariable) { |
167 |
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2 | bezier_linear_variable_t::t_point_t vec1; |
168 |
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2 | bezier_linear_variable_t::t_point_t vec2; |
169 |
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2 | bezier_linear_variable_t::t_point_t zeroVec; |
170 |
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8 | for (int i = 0; i < 3; ++i) { |
171 |
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6 | vec1.push_back(linear_variable_t(Eigen::Matrix3d::Identity() * i, |
172 |
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6 | Eigen::Vector3d::Random())); |
173 |
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6 | vec2.push_back(linear_variable_t(Eigen::Matrix3d::Identity() * i, |
174 |
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6 | Eigen::Vector3d::Random())); |
175 |
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6 | zeroVec.push_back(linear_variable_t()); |
176 | } | ||
177 |
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6 | for (int i = 0; i < 2; ++i) { |
178 |
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4 | vec1.push_back(linear_variable_t(Eigen::Matrix3d::Identity() * i, |
179 |
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8 | Eigen::Vector3d::Random())); |
180 | } | ||
181 |
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2 | bezier_linear_variable_t p1(vec1.begin(), vec1.end(), 0., 1.); |
182 |
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2 | bezier_linear_variable_t p2(vec2.begin(), vec2.end(), 0., 1.); |
183 |
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2 | bezier_linear_variable_t pZero(zeroVec.begin(), zeroVec.end(), 0., 1.); |
184 |
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2 | bezier_linear_variable_t pCross(p1.cross(p2)); |
185 |
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2 | bezier_linear_variable_t pCrossZero(p1.cross(pZero)); |
186 | bezier_linear_variable_t primitive = | ||
187 |
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2 | pCross.compute_primitive(1, *vec1.begin()); |
188 |
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6 | for (double i = 0.; i <= 1.; ++i) { |
189 |
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4 | Eigen::Vector3d x = Eigen::Vector3d::Random(); |
190 | bezier_t fcross = | ||
191 |
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4 | evaluateLinear<bezier_t, bezier_linear_variable_t>(pCross, x); |
192 | bezier_t fCrossZero = | ||
193 |
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4 | evaluateLinear<bezier_t, bezier_linear_variable_t>(pCrossZero, x); |
194 |
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4 | bezier_t f1 = evaluateLinear<bezier_t, bezier_linear_variable_t>(p1, x); |
195 |
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4 | bezier_t f2 = evaluateLinear<bezier_t, bezier_linear_variable_t>(p2, x); |
196 |
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48 | for (double i = 0.; i <= 10.; ++i) { |
197 | 44 | double dt = i / 10.; | |
198 |
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44 | Eigen::Vector3d v1 = f1(dt); |
199 |
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44 | Eigen::Vector3d v2 = f2(dt); |
200 |
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44 | compDouble((fcross(dt) - v1.cross(v2)).norm(), 0.); |
201 |
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44 | compDouble((fCrossZero(dt)).norm(), 0.); |
202 | } | ||
203 | 4 | } | |
204 | 2 | } | |
205 | |||
206 |
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4 | BOOST_AUTO_TEST_CASE(polynomialPointOperations) { |
207 |
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2 | polynomial_t::coeff_t coeffs1 = Eigen::MatrixXd::Random(3, 5); |
208 |
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2 | Eigen::Vector3d point = Eigen::Vector3d::Random(3); |
209 |
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2 | polynomial_t p1(coeffs1, 0., 1.); |
210 | |||
211 |
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2 | polynomial_t pSum = p1 + point; |
212 |
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2 | polynomial_t pSumR = point + p1; |
213 |
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2 | polynomial_t pSub = p1 - point; |
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2 | polynomial_t pSubR = point - p1; |
215 |
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2 | polynomial_t pcross = p1.cross(point); |
216 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
217 | 202 | double dt = i / 100.; | |
218 |
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202 | compDouble((pSum(dt) - (p1(dt) + point)).norm(), 0.); |
219 |
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202 | compDouble((pSumR(dt) - (p1(dt) + point)).norm(), 0.); |
220 |
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202 | compDouble((pSub(dt) - (p1(dt) - point)).norm(), 0.); |
221 |
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202 | compDouble((pSubR(dt) - (point - p1(dt))).norm(), 0.); |
222 |
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202 | Eigen::Vector3d p1dt = p1(dt); |
223 |
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202 | compDouble((pcross(dt) - (p1dt.cross(point))).norm(), 0.); |
224 | } | ||
225 | 2 | } | |
226 | |||
227 |
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4 | BOOST_AUTO_TEST_CASE(polynomialOperations) { |
228 |
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2 | polynomial_t::coeff_t coeffs1 = Eigen::MatrixXd::Random(3, 5); |
229 |
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2 | polynomial_t::coeff_t coeffs2 = Eigen::MatrixXd::Random(3, 2); |
230 |
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2 | polynomial_t p1(coeffs1, 0., 1.); |
231 |
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2 | polynomial_t p2(coeffs2, 0., 1.); |
232 |
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2 | polynomial_t p3(coeffs2, 0., 0.5); |
233 |
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2 | polynomial_t p4(coeffs2, 0.1, 1.); |
234 |
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2 | polynomial_t p5(coeffs2, 0.1, .5); |
235 | 2 | double k = 10.2; | |
236 | |||
237 |
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4 | BOOST_CHECK_THROW(p1 + p3, std::exception); |
238 |
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4 | BOOST_CHECK_THROW(p1 - p3, std::exception); |
239 |
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4 | BOOST_CHECK_THROW(p1 + p4, std::exception); |
240 |
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4 | BOOST_CHECK_THROW(p1 - p4, std::exception); |
241 |
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4 | BOOST_CHECK_THROW(p1 + p5, std::exception); |
242 |
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4 | BOOST_CHECK_THROW(p1 - p5, std::exception); |
243 | |||
244 |
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2 | polynomial_t pSum = p1 + p2; |
245 |
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2 | polynomial_t pSumR = p2 + p1; |
246 |
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2 | polynomial_t pSub = p1 - p2; |
247 |
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2 | polynomial_t pSubR = p2 - p1; |
248 |
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2 | polynomial_t pdiv = p1 / k; |
249 |
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2 | polynomial_t pMul = p1 * k; |
250 |
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2 | polynomial_t pMulR = k * p1; |
251 |
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2 | polynomial_t pNeg = -p1; |
252 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
253 | 202 | double dt = i / 100.; | |
254 |
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202 | compDouble((pSum(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
255 |
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202 | compDouble((pSumR(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
256 |
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202 | compDouble((pSub(dt) - (p1(dt) - p2(dt))).norm(), 0.); |
257 |
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202 | compDouble((pSubR(dt) - (p2(dt) - p1(dt))).norm(), 0.); |
258 |
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202 | compDouble((pMul(dt) - p1(dt) * k).norm(), 0.); |
259 |
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202 | compDouble((pMulR(dt) - p1(dt) * k).norm(), 0.); |
260 |
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202 | compDouble((pdiv(dt) - p1(dt) / k).norm(), 0.); |
261 |
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202 | compDouble((pNeg(dt) + p1(dt)).norm(), 0); |
262 | } | ||
263 | |||
264 |
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2 | pSum = polynomial_t(p1); |
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2 | pSum += p2; |
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2 | pSub = p1; |
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2 | pSub -= p2; |
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2 | pdiv = p1; |
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2 | pdiv /= k; |
270 |
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2 | pMul = p1; |
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2 | pMul *= k; |
272 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
273 | 202 | double dt = i / 100.; | |
274 |
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202 | compDouble((pSum(dt) - (p1(dt) + p2(dt))).norm(), 0.); |
275 |
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202 | compDouble((pSub(dt) - (p1(dt) - p2(dt))).norm(), 0.); |
276 |
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202 | compDouble((pMul(dt) - p1(dt) * k).norm(), 0.); |
277 |
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202 | compDouble((pdiv(dt) - p1(dt) / k).norm(), 0.); |
278 | } | ||
279 | 2 | } | |
280 | |||
281 |
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4 | BOOST_AUTO_TEST_CASE(crossPoductPolynomials) { |
282 |
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2 | polynomial_t::coeff_t coeffs1 = Eigen::MatrixXd::Random(3, 5); |
283 |
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2 | polynomial_t::coeff_t coeffs2 = Eigen::MatrixXd::Random(3, 2); |
284 |
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2 | polynomial_t::coeff_t coeffsDim4 = Eigen::MatrixXd::Random(4, 2); |
285 |
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2 | polynomial_t p1(coeffs1, 0., 1.); |
286 |
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2 | polynomial_t p2(coeffs2, 0., 1.); |
287 |
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2 | polynomial_t p3(coeffs2, 0., 0.5); |
288 |
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2 | polynomial_t p4(coeffs2, 0.1, 1.); |
289 |
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2 | polynomial_t p5(coeffs2, 0.1, .5); |
290 |
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2 | polynomial_t pDim4(coeffsDim4, 0., 1.); |
291 | |||
292 | // testing reduction | ||
293 |
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2 | BOOST_CHECK_EQUAL(p1.cross(p1).degree(), 0); |
294 | |||
295 |
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4 | BOOST_CHECK_THROW(p1.cross(p3), std::exception); |
296 |
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4 | BOOST_CHECK_THROW(p1.cross(p4), std::exception); |
297 |
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4 | BOOST_CHECK_THROW(p1.cross(p5), std::exception); |
298 |
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4 | BOOST_CHECK_THROW(p1.cross(pDim4), std::exception); |
299 |
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4 | BOOST_CHECK_THROW(pDim4.cross(p1), std::exception); |
300 | |||
301 |
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2 | polynomial_t pCross = p1.cross(p2); |
302 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
303 | 202 | double dt = i / 100.; | |
304 |
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202 | Eigen::Vector3d v1 = p1(dt); |
305 |
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202 | Eigen::Vector3d v2 = p2(dt); |
306 |
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202 | compDouble((pCross(dt) - v1.cross(v2)).norm(), 0.); |
307 | } | ||
308 | 2 | } | |
309 | |||
310 |
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4 | BOOST_AUTO_TEST_CASE(crossPoductPolynomialSimplification) { |
311 |
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2 | polynomial_t::coeff_t coeffs1 = Eigen::MatrixXd::Random(3, 5); |
312 |
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2 | polynomial_t::coeff_t coeffs2 = Eigen::MatrixXd::Random(3, 3); |
313 |
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2 | coeffs2.col(2) = coeffs1.col(4); |
314 |
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2 | polynomial_t p1(coeffs1, 0., 1.); |
315 |
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2 | polynomial_t p2(coeffs2, 0., 1.); |
316 | |||
317 |
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2 | polynomial_t pCross = p1.cross(p2); |
318 |
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2 | BOOST_CHECK_EQUAL(pCross.degree(), 5); |
319 |
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204 | for (double i = 0.; i <= 100.; ++i) { |
320 | 202 | double dt = i / 100.; | |
321 |
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202 | Eigen::Vector3d v1 = p1(dt); |
322 |
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202 | Eigen::Vector3d v2 = p2(dt); |
323 |
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202 | compDouble((pCross(dt) - v1.cross(v2)).norm(), 0.); |
324 | } | ||
325 | 2 | } | |
326 | |||
327 | BOOST_AUTO_TEST_SUITE_END() | ||
328 |