Directory: | ./ |
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File: | unittest/casadi/basic.cpp |
Date: | 2025-02-12 21:03:38 |
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Lines: | 75 | 75 | 100.0% |
Branches: | 395 | 786 | 50.3% |
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1 | // | ||
2 | // Copyright (c) 2019-2020 INRIA | ||
3 | // | ||
4 | |||
5 | #include <pinocchio/autodiff/casadi.hpp> | ||
6 | |||
7 | #include <boost/variant.hpp> // to avoid C99 warnings | ||
8 | |||
9 | #include <iostream> | ||
10 | #include <boost/test/unit_test.hpp> | ||
11 | #include <boost/utility/binary.hpp> | ||
12 | |||
13 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
14 | |||
15 |
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4 | BOOST_AUTO_TEST_CASE(test_basic) |
16 | { | ||
17 |
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2 | casadi::SX a(1, 1); |
18 |
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2 | casadi::SX b; |
19 | |||
20 |
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2 | casadi::MX c; |
21 | |||
22 |
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2 | b = a(0, 0); |
23 | 2 | } | |
24 | |||
25 |
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4 | BOOST_AUTO_TEST_CASE(test_eigen) |
26 | { | ||
27 |
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2 | Eigen::Matrix<casadi::SX, 3, 3> A, B; |
28 |
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2 | Eigen::Matrix<casadi::SX, 3, 1> a, b; |
29 |
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2 | Eigen::Matrix<casadi::SX, 3, 1> c = A * a - B.transpose() * b; |
30 | 2 | } | |
31 | |||
32 | // A function working with Eigen::Matrix'es parameterized by the Scalar type | ||
33 | template<typename Scalar, typename T1, typename T2, typename T3, typename T4> | ||
34 | 1 | Eigen::Matrix<Scalar, Eigen::Dynamic, 1> eigenFun( | |
35 | Eigen::MatrixBase<T1> const & A, | ||
36 | Eigen::MatrixBase<T2> const & a, | ||
37 | Eigen::MatrixBase<T3> const & B, | ||
38 | Eigen::MatrixBase<T4> const & b) | ||
39 | { | ||
40 |
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1 | Eigen::Matrix<Scalar, Eigen::Dynamic, 1> c(4); |
41 |
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1 | c.segment(1, 3) = A * a.segment(1, 3) - B.transpose() * b; |
42 |
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1 | c[0] = 0.; |
43 | |||
44 | 1 | return c; | |
45 | } | ||
46 | |||
47 |
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4 | BOOST_AUTO_TEST_CASE(test_example) |
48 | { | ||
49 | // Declare casadi symbolic matrix arguments | ||
50 |
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4 | casadi::SX cs_a = casadi::SX::sym("a", 4); |
51 |
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4 | casadi::SX cs_b = casadi::SX::sym("b", 3); |
52 | |||
53 | // Declare Eigen matrices | ||
54 |
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2 | Eigen::Matrix<casadi::SX, 3, 3> A, B; |
55 |
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2 | Eigen::Matrix<casadi::SX, -1, 1> a(4), c(4); |
56 |
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2 | Eigen::Matrix<casadi::SX, 3, 1> b; |
57 | |||
58 | // Let A, B be some numeric matrices | ||
59 |
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8 | for (Eigen::Index i = 0; i < A.rows(); ++i) |
60 | { | ||
61 |
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24 | for (Eigen::Index j = 0; j < A.cols(); ++j) |
62 | { | ||
63 |
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18 | A(i, j) = 10. * static_cast<double>(i) + static_cast<double>(j); |
64 |
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18 | B(i, j) = -10. * static_cast<double>(i) - static_cast<double>(j); |
65 | } | ||
66 | } | ||
67 | |||
68 | // Let a, b be symbolic arguments of a function | ||
69 |
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2 | pinocchio::casadi::copy(cs_b, b); |
70 |
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2 | pinocchio::casadi::copy(cs_a, a); |
71 | |||
72 | // Call the function taking Eigen matrices | ||
73 |
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2 | c = eigenFun<casadi::SX>(A, a, B, b); |
74 | |||
75 | // Copy the result from Eigen matrices to casadi matrix | ||
76 |
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2 | casadi::SX cs_c = casadi::SX(casadi::Sparsity::dense(c.rows(), 1)); |
77 |
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2 | pinocchio::casadi::copy(c, cs_c); |
78 | |||
79 | // Display the resulting casadi matrix | ||
80 |
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2 | std::cout << "c = " << cs_c << std::endl; |
81 | |||
82 | // Do some AD | ||
83 |
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2 | casadi::SX dc_da = jacobian(cs_c, cs_a); |
84 | |||
85 | // Display the resulting jacobian | ||
86 |
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2 | std::cout << "dc/da = " << dc_da << std::endl; |
87 | |||
88 | // Create a function which takes a, b and returns c and dc_da | ||
89 |
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16 | casadi::Function fun("fun", casadi::SXVector{cs_a, cs_b}, casadi::SXVector{cs_c, dc_da}); |
90 |
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2 | std::cout << "fun = " << fun << std::endl; |
91 | |||
92 | // Evaluate the function | ||
93 | casadi::DMVector res = | ||
94 |
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10 | fun(casadi::DMVector{std::vector<double>{1., 2., 3., 4.}, std::vector<double>{-1., -2., -3.}}); |
95 |
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2 | std::cout << "fun(a, b)=" << res << std::endl; |
96 | 2 | } | |
97 | |||
98 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian) |
99 | { | ||
100 |
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4 | casadi::SX cs_x = casadi::SX::sym("x", 3); |
101 | |||
102 |
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4 | casadi::SX cs_y = casadi::SX::sym("y", 1); |
103 |
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2 | cs_y(0) = cs_x(0) + cs_x(1) + cs_x(2); |
104 | |||
105 | // Display the resulting expression | ||
106 |
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2 | std::cout << "y = " << cs_y << std::endl; |
107 | |||
108 | // Do some AD | ||
109 |
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2 | casadi::SX dy_dx = jacobian(cs_x, cs_x); |
110 | |||
111 | // Display the resulting jacobian | ||
112 |
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2 | std::cout << "dy/dx = " << dy_dx << std::endl; |
113 | 2 | } | |
114 | |||
115 |
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4 | BOOST_AUTO_TEST_CASE(test_copy_casadi_to_eigen) |
116 | { | ||
117 |
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4 | casadi::SX cs_mat = casadi::SX::sym("A", 3, 4); |
118 |
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2 | Eigen::Matrix<casadi::SX, 3, 4> eig_mat; |
119 | |||
120 |
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2 | pinocchio::casadi::copy(cs_mat, eig_mat); |
121 |
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2 | std::cout << eig_mat << std::endl; |
122 | 2 | } | |
123 | |||
124 |
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4 | BOOST_AUTO_TEST_CASE(test_copy_eigen_to_casadi) |
125 | { | ||
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2 | Eigen::Matrix<casadi::SX, 3, 4> eig_mat; |
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2 | pinocchio::casadi::sym(eig_mat, "A"); |
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2 | casadi::SX cs_mat; |
130 | |||
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2 | pinocchio::casadi::copy(eig_mat, cs_mat); |
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2 | std::cout << cs_mat << std::endl; |
133 | 2 | } | |
134 | |||
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4 | BOOST_AUTO_TEST_CASE(test_casadi_codegen) |
136 | { | ||
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4 | casadi::SX x = casadi::SX::sym("x"); |
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4 | casadi::SX y = casadi::SX::sym("y"); |
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14 | casadi::Function fun("fun", casadi::SXVector{x, y}, casadi::SXVector{x + y}); |
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4 | casadi::CodeGenerator gen("module"); |
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2 | gen.add(fun); |
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2 | std::cout << gen.dump(); |
145 | 2 | } | |
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4 | BOOST_AUTO_TEST_CASE(test_max) |
148 | { | ||
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4 | casadi::SX x = casadi::SX::sym("x"); |
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4 | casadi::SX y = casadi::SX::sym("y"); |
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2 | casadi::SX max_x_y = pinocchio::math::max(x, y); |
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2 | casadi::SX max_x_0 = pinocchio::math::max(x, 0.); |
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2 | casadi::SX max_0_y = pinocchio::math::max(0., y); |
155 | 2 | } | |
156 | |||
157 | BOOST_AUTO_TEST_SUITE_END() | ||
158 |