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File: | include/crocoddyl/core/activations/quadratic-flat-log.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, University of Edinburgh, | ||
5 | // Heriot-Watt University | ||
6 | // Copyright note valid unless otherwise stated in individual files. | ||
7 | // All rights reserved. | ||
8 | /////////////////////////////////////////////////////////////////////////////// | ||
9 | |||
10 | #ifndef CROCODDYL_CORE_ACTIVATIONS_QUADRATIC_FLAT_LOG_HPP_ | ||
11 | #define CROCODDYL_CORE_ACTIVATIONS_QUADRATIC_FLAT_LOG_HPP_ | ||
12 | |||
13 | #include "crocoddyl/core/activation-base.hpp" | ||
14 | #include "crocoddyl/core/fwd.hpp" | ||
15 | |||
16 | namespace crocoddyl { | ||
17 | |||
18 | /** | ||
19 | * @brief Quadratic-flat-log activation | ||
20 | * | ||
21 | * This activation function describes a logarithmic quadratic activation | ||
22 | * depending on the quadratic norm of a residual vector, i.e. \f[ | ||
23 | * \begin{equation} log(1 + \|\mathbf{r}\|^2 / \alpha) \end{equation} \f] where | ||
24 | * \f$\alpha\f$ defines the width of the quadratic basin, \f$r\f$ is the scalar | ||
25 | * residual, \f$nr\f$ is the dimension of the residual vector. | ||
26 | * | ||
27 | * The computation of the function and it derivatives are carried out in | ||
28 | * `calc()` and `caldDiff()`, respectively. | ||
29 | * | ||
30 | * \sa `calc()`, `calcDiff()`, `createData()` | ||
31 | */ | ||
32 | template <typename _Scalar> | ||
33 | class ActivationModelQuadFlatLogTpl | ||
34 | : public ActivationModelAbstractTpl<_Scalar> { | ||
35 | public: | ||
36 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
37 | 16 | CROCODDYL_DERIVED_CAST(ActivationModelBase, ActivationModelQuadFlatLogTpl) | |
38 | |||
39 | typedef _Scalar Scalar; | ||
40 | typedef MathBaseTpl<Scalar> MathBase; | ||
41 | typedef ActivationModelAbstractTpl<Scalar> Base; | ||
42 | typedef ActivationDataAbstractTpl<Scalar> ActivationDataAbstract; | ||
43 | typedef ActivationDataQuadFlatLogTpl<Scalar> Data; | ||
44 | typedef typename MathBase::VectorXs VectorXs; | ||
45 | typedef typename MathBase::MatrixXs MatrixXs; | ||
46 | |||
47 | /* | ||
48 | * @brief Initialize the quadratic-flat-log activation model | ||
49 | * | ||
50 | * The default `alpha` value is defined as 1. | ||
51 | * | ||
52 | * @param[in] nr Dimension of the residual vector | ||
53 | * @param[in] alpha Width of quadratic basin (default: 1.) | ||
54 | */ | ||
55 | |||
56 | 227 | explicit ActivationModelQuadFlatLogTpl(const std::size_t nr, | |
57 | const Scalar alpha = Scalar(1.)) | ||
58 | 227 | : Base(nr), alpha_(alpha) { | |
59 |
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227 | if (alpha < Scalar(0.)) { |
60 | ✗ | throw_pretty("Invalid argument: " << "alpha should be a positive value"); | |
61 | } | ||
62 | 227 | }; | |
63 | 466 | virtual ~ActivationModelQuadFlatLogTpl() = default; | |
64 | |||
65 | /* | ||
66 | * @brief Compute the quadratic-flat-log function | ||
67 | * | ||
68 | * @param[in] data Quadratic-log activation data | ||
69 | * @param[in] r Residual vector \f$\mathbf{r}\in\mathbb{R}^{nr}\f$ | ||
70 | */ | ||
71 | 9677 | virtual void calc(const std::shared_ptr<ActivationDataAbstract> &data, | |
72 | const Eigen::Ref<const VectorXs> &r) override { | ||
73 |
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9677 | if (static_cast<std::size_t>(r.size()) != nr_) { |
74 | ✗ | throw_pretty( | |
75 | "Invalid argument: " << "r has wrong dimension (it should be " + | ||
76 | std::to_string(nr_) + ")"); | ||
77 | } | ||
78 | 9677 | std::shared_ptr<Data> d = std::static_pointer_cast<Data>(data); | |
79 |
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9677 | d->a0 = r.squaredNorm() / alpha_; |
80 | 9677 | data->a_value = log(Scalar(1.0) + d->a0); | |
81 | 9677 | }; | |
82 | |||
83 | /* | ||
84 | * @brief Compute the derivatives of the quadratic-flat-log function | ||
85 | * | ||
86 | * @param[in] data Quadratic-log activation data | ||
87 | * @param[in] r Residual vector \f$\mathbf{r}\in\mathbb{R}^{nr}\f$ | ||
88 | */ | ||
89 | 305 | virtual void calcDiff(const std::shared_ptr<ActivationDataAbstract> &data, | |
90 | const Eigen::Ref<const VectorXs> &r) override { | ||
91 |
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305 | if (static_cast<std::size_t>(r.size()) != nr_) { |
92 | ✗ | throw_pretty( | |
93 | "Invalid argument: " << "r has wrong dimension (it should be " + | ||
94 | std::to_string(nr_) + ")"); | ||
95 | } | ||
96 | 305 | std::shared_ptr<Data> d = std::static_pointer_cast<Data>(data); | |
97 | |||
98 | 305 | d->a1 = Scalar(2.0) / (alpha_ + alpha_ * d->a0); | |
99 |
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305 | data->Ar = d->a1 * r; |
100 |
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305 | data->Arr.diagonal() = -d->a1 * d->a1 * r.array().square(); |
101 |
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305 | data->Arr.diagonal().array() += d->a1; |
102 | 305 | }; | |
103 | |||
104 | /* | ||
105 | * @brief Create the quadratic-flat-log activation data | ||
106 | * | ||
107 | * @return the activation data | ||
108 | */ | ||
109 | 7840 | virtual std::shared_ptr<ActivationDataAbstract> createData() override { | |
110 |
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7840 | std::shared_ptr<Data> data = |
111 | 7840 | std::allocate_shared<Data>(Eigen::aligned_allocator<Data>(), this); | |
112 | 15680 | return data; | |
113 | 7840 | }; | |
114 | |||
115 | template <typename NewScalar> | ||
116 | 4 | ActivationModelQuadFlatLogTpl<NewScalar> cast() const { | |
117 | typedef ActivationModelQuadFlatLogTpl<NewScalar> ReturnType; | ||
118 | 4 | ReturnType res(nr_, scalar_cast<NewScalar>(alpha_)); | |
119 | 4 | return res; | |
120 | } | ||
121 | |||
122 | ✗ | Scalar get_alpha() const { return alpha_; }; | |
123 | ✗ | void set_alpha(const Scalar alpha) { alpha_ = alpha; }; | |
124 | |||
125 | /** | ||
126 | * @brief Print relevant information of the quadratic flat-log model | ||
127 | * | ||
128 | * @param[out] os Output stream object | ||
129 | */ | ||
130 | 37 | virtual void print(std::ostream &os) const override { | |
131 | 37 | os << "ActivationModelQuadFlatLog {nr=" << nr_ << ", a=" << alpha_ << "}"; | |
132 | 37 | } | |
133 | |||
134 | protected: | ||
135 | using Base::nr_; //!< Dimension of the residual vector | ||
136 | |||
137 | private: | ||
138 | Scalar alpha_; //!< Width of quadratic basin | ||
139 | }; | ||
140 | |||
141 | /* | ||
142 | * @brief Data structure of the quadratic-flat-log activation | ||
143 | * | ||
144 | * @param[in] a0 computed in calc to avoid recomputation | ||
145 | * @param[in] a1 computed in calcDiff to avoid recomputation | ||
146 | */ | ||
147 | template <typename _Scalar> | ||
148 | struct ActivationDataQuadFlatLogTpl | ||
149 | : public ActivationDataAbstractTpl<_Scalar> { | ||
150 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
151 | |||
152 | typedef _Scalar Scalar; | ||
153 | typedef MathBaseTpl<Scalar> MathBase; | ||
154 | typedef typename MathBase::VectorXs VectorXs; | ||
155 | typedef typename MathBase::DiagonalMatrixXs DiagonalMatrixXs; | ||
156 | typedef ActivationDataAbstractTpl<Scalar> Base; | ||
157 | |||
158 | template <typename Activation> | ||
159 | 7840 | explicit ActivationDataQuadFlatLogTpl(Activation *const activation) | |
160 | 7840 | : Base(activation), a0(Scalar(0)), a1(Scalar(0)) {} | |
161 | 15680 | virtual ~ActivationDataQuadFlatLogTpl() = default; | |
162 | |||
163 | Scalar a0; | ||
164 | Scalar a1; | ||
165 | |||
166 | using Base::a_value; | ||
167 | using Base::Ar; | ||
168 | using Base::Arr; | ||
169 | }; | ||
170 | |||
171 | } // namespace crocoddyl | ||
172 | |||
173 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_CLASS( | ||
174 | crocoddyl::ActivationModelQuadFlatLogTpl) | ||
175 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_STRUCT( | ||
176 | crocoddyl::ActivationDataQuadFlatLogTpl) | ||
177 | |||
178 | #endif // CROCODDYL_CORE_ACTIVATIONS_QUADRATIC_FLAT_LOG_HPP_ | ||
179 |