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File: | include/crocoddyl/core/activations/smooth-2norm.hpp |
Date: | 2025-03-26 19:23:43 |
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1 | /////////////////////////////////////////////////////////////////////////////// | ||
2 | // BSD 3-Clause License | ||
3 | // | ||
4 | // Copyright (C) 2020-2025, LAAS-CNRS, Heriot-Watt University | ||
5 | // Copyright note valid unless otherwise stated in individual files. | ||
6 | // All rights reserved. | ||
7 | /////////////////////////////////////////////////////////////////////////////// | ||
8 | |||
9 | #ifndef CROCODDYL_CORE_ACTIVATIONS_SMOOTH_2NORM_HPP_ | ||
10 | #define CROCODDYL_CORE_ACTIVATIONS_SMOOTH_2NORM_HPP_ | ||
11 | |||
12 | #include <stdexcept> | ||
13 | |||
14 | #include "crocoddyl/core/activation-base.hpp" | ||
15 | #include "crocoddyl/core/fwd.hpp" | ||
16 | |||
17 | namespace crocoddyl { | ||
18 | |||
19 | /** | ||
20 | * @brief Smooth-2Norm activation | ||
21 | * | ||
22 | * This activation function describes a smooth representation of a 2-norm of a | ||
23 | * residual vector, i.e. \f[ \begin{equation} \sqrt{\epsilon + sum^nr_{i=0} | ||
24 | * \|r_i\|^2} \end{equation} \f] where \f$\epsilon\f$ defines the smoothing | ||
25 | * factor, \f$r_i\f$ is the scalar residual for the \f$i\f$ constraints, | ||
26 | * \f$nr\f$ is the dimension of the residual vector. | ||
27 | * | ||
28 | * The computation of the function and it derivatives are carried out in | ||
29 | * `calc()` and `caldDiff()`, respectively. | ||
30 | * | ||
31 | * \sa `calc()`, `calcDiff()`, `createData()` | ||
32 | */ | ||
33 | template <typename _Scalar> | ||
34 | class ActivationModelSmooth2NormTpl | ||
35 | : public ActivationModelAbstractTpl<_Scalar> { | ||
36 | public: | ||
37 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
38 | 16 | CROCODDYL_DERIVED_CAST(ActivationModelBase, ActivationModelSmooth2NormTpl) | |
39 | |||
40 | typedef _Scalar Scalar; | ||
41 | typedef MathBaseTpl<Scalar> MathBase; | ||
42 | typedef ActivationModelAbstractTpl<Scalar> Base; | ||
43 | typedef ActivationDataAbstractTpl<Scalar> ActivationDataAbstract; | ||
44 | typedef typename MathBase::VectorXs VectorXs; | ||
45 | typedef typename MathBase::MatrixXs MatrixXs; | ||
46 | |||
47 | /** | ||
48 | * @brief Initialize the smooth-2Norm activation model | ||
49 | * | ||
50 | * The default `eps` value is defined as 1. | ||
51 | * | ||
52 | * @param[in] nr Dimension of the residual vector | ||
53 | * @param[in] eps Smoothing factor (default: 1.) | ||
54 | */ | ||
55 | 227 | explicit ActivationModelSmooth2NormTpl(const std::size_t nr, | |
56 | const Scalar eps = Scalar(1.)) | ||
57 | 227 | : Base(nr), eps_(eps) { | |
58 |
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227 | if (eps < Scalar(0.)) { |
59 | ✗ | throw_pretty("Invalid argument: " << "eps should be a positive value"); | |
60 | } | ||
61 | 227 | }; | |
62 | 466 | virtual ~ActivationModelSmooth2NormTpl() = default; | |
63 | |||
64 | /** | ||
65 | * @brief Compute the smooth-2Norm function | ||
66 | * | ||
67 | * @param[in] data Smooth-2Norm activation data | ||
68 | * @param[in] r Residual vector \f$\mathbf{r}\in\mathbb{R}^{nr}\f$ | ||
69 | */ | ||
70 | 9677 | virtual void calc(const std::shared_ptr<ActivationDataAbstract>& data, | |
71 | const Eigen::Ref<const VectorXs>& r) override { | ||
72 |
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9677 | if (static_cast<std::size_t>(r.size()) != nr_) { |
73 | ✗ | throw_pretty( | |
74 | "Invalid argument: " << "r has wrong dimension (it should be " + | ||
75 | std::to_string(nr_) + ")"); | ||
76 | } | ||
77 | using std::sqrt; | ||
78 | 9677 | data->a_value = sqrt(r.squaredNorm() + eps_); | |
79 | 9677 | }; | |
80 | |||
81 | /** | ||
82 | * @brief Compute the derivatives of the smooth-2Norm function | ||
83 | * | ||
84 | * @param[in] data Smooth-2Norm activation data | ||
85 | * @param[in] r Residual vector \f$\mathbf{r}\in\mathbb{R}^{nr}\f$ | ||
86 | */ | ||
87 | 305 | virtual void calcDiff(const std::shared_ptr<ActivationDataAbstract>& data, | |
88 | const Eigen::Ref<const VectorXs>& r) override { | ||
89 |
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305 | if (static_cast<std::size_t>(r.size()) != nr_) { |
90 | ✗ | throw_pretty( | |
91 | "Invalid argument: " << "r has wrong dimension (it should be " + | ||
92 | std::to_string(nr_) + ")"); | ||
93 | } | ||
94 | |||
95 |
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305 | data->Ar = r / data->a_value; |
96 |
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305 | data->Arr.diagonal().array() = Scalar(1) / pow(data->a_value, Scalar(3)); |
97 | 305 | }; | |
98 | |||
99 | /** | ||
100 | * @brief Create the smooth-2norm activation data | ||
101 | * | ||
102 | * @return the activation data | ||
103 | */ | ||
104 | 7840 | virtual std::shared_ptr<ActivationDataAbstract> createData() override { | |
105 | return std::allocate_shared<ActivationDataAbstract>( | ||
106 |
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15680 | Eigen::aligned_allocator<ActivationDataAbstract>(), this); |
107 | }; | ||
108 | |||
109 | template <typename NewScalar> | ||
110 | 4 | ActivationModelSmooth2NormTpl<NewScalar> cast() const { | |
111 | typedef ActivationModelSmooth2NormTpl<NewScalar> ReturnType; | ||
112 | 4 | ReturnType res(nr_, scalar_cast<NewScalar>(eps_)); | |
113 | 4 | return res; | |
114 | } | ||
115 | |||
116 | protected: | ||
117 | /** | ||
118 | * @brief Print relevant information of the smooth-1norm model | ||
119 | * | ||
120 | * @param[out] os Output stream object | ||
121 | */ | ||
122 | 37 | virtual void print(std::ostream& os) const override { | |
123 | 37 | os << "ActivationModelSmooth2Norm {nr=" << nr_ << ", eps=" << eps_ << "}"; | |
124 | 37 | } | |
125 | |||
126 | using Base::nr_; //!< Dimension of the residual vector | ||
127 | Scalar eps_; //!< Smoothing factor | ||
128 | }; | ||
129 | |||
130 | } // namespace crocoddyl | ||
131 | |||
132 | extern template class CROCODDYL_EXPLICIT_INSTANTIATION_DECLARATION_DLLAPI | ||
133 | crocoddyl::ActivationModelSmooth2NormTpl<double>; | ||
134 | extern template class CROCODDYL_EXPLICIT_INSTANTIATION_DECLARATION_DLLAPI | ||
135 | crocoddyl::ActivationModelSmooth2NormTpl<float>; | ||
136 | |||
137 | #endif // CROCODDYL_CORE_ACTIVATIONS_SMOOTH_2NORM_HPP_ | ||
138 |