GCC Code Coverage Report


Directory: ./
File: unittest/casadi/basic.cpp
Date: 2025-02-12 21:03:38
Exec Total Coverage
Lines: 75 75 100.0%
Branches: 395 786 50.3%

Line Branch Exec Source
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 {
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2 casadi::SX a(1, 1);
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2 casadi::SX b;
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2 casadi::MX c;
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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 {
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2 Eigen::Matrix<casadi::SX, 3, 3> A, B;
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2 Eigen::Matrix<casadi::SX, 3, 1> a, b;
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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 {
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1 Eigen::Matrix<Scalar, Eigen::Dynamic, 1> c(4);
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1 c.segment(1, 3) = A * a.segment(1, 3) - B.transpose() * b;
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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);
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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;
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2 Eigen::Matrix<casadi::SX, -1, 1> a(4), c(4);
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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 {
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24 for (Eigen::Index j = 0; j < A.cols(); ++j)
62 {
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18 A(i, j) = 10. * static_cast<double>(i) + static_cast<double>(j);
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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
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2 pinocchio::casadi::copy(cs_b, b);
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2 pinocchio::casadi::copy(cs_a, a);
71
72 // Call the function taking Eigen matrices
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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));
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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
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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});
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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.}});
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2 std::cout << "fun(a, b)=" << res << std::endl;
96 2 }
97
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4 BOOST_AUTO_TEST_CASE(test_jacobian)
99 {
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4 casadi::SX cs_x = casadi::SX::sym("x", 3);
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4 casadi::SX cs_y = casadi::SX::sym("y", 1);
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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
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4 BOOST_AUTO_TEST_CASE(test_copy_casadi_to_eigen)
116 {
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4 casadi::SX cs_mat = casadi::SX::sym("A", 3, 4);
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2 Eigen::Matrix<casadi::SX, 3, 4> eig_mat;
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2 pinocchio::casadi::copy(cs_mat, eig_mat);
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2 std::cout << eig_mat << std::endl;
122 2 }
123
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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;
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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 }
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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