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|---|---|---|---|
| 1 | /////////////////////////////////////////////////////////////////////////////// | ||
| 2 | // BSD 3-Clause License | ||
| 3 | // | ||
| 4 | // Copyright (C) 2021-2025, University of Edinburgh, Heriot-Watt University | ||
| 5 | // Copyright note valid unless otherwise stated in individual files. | ||
| 6 | // All rights reserved. | ||
| 7 | /////////////////////////////////////////////////////////////////////////////// | ||
| 8 | |||
| 9 | #ifndef CROCODDYL_CORE_COSTS_RESIDUAL_COST_HPP_ | ||
| 10 | #define CROCODDYL_CORE_COSTS_RESIDUAL_COST_HPP_ | ||
| 11 | |||
| 12 | #include "crocoddyl/core/cost-base.hpp" | ||
| 13 | #include "crocoddyl/core/fwd.hpp" | ||
| 14 | #include "crocoddyl/core/residual-base.hpp" | ||
| 15 | |||
| 16 | namespace crocoddyl { | ||
| 17 | |||
| 18 | /** | ||
| 19 | * @brief Residual-based cost | ||
| 20 | * | ||
| 21 | * This cost function uses a residual model to compute the cost, i.e., \f[ cost | ||
| 22 | * = a(\mathbf{r}(\mathbf{x}, \mathbf{u})), \f] where \f$\mathbf{r}(\cdot)\f$ | ||
| 23 | * and \f$a(\cdot)\f$ define the residual and activation functions, | ||
| 24 | * respectively. | ||
| 25 | * | ||
| 26 | * Note that we only compute the Jacobians of the residual function. Therefore, | ||
| 27 | * this cost model computes its Hessians through a Gauss-Newton approximation, | ||
| 28 | * e.g., \f$\mathbf{l_{xu}} = \mathbf{R_x}^T \mathbf{A_{rr}} \mathbf{R_u} \f$, | ||
| 29 | * where \f$\mathbf{R_x}\f$ and \f$\mathbf{R_u}\f$ are the Jacobians of the | ||
| 30 | * residual function, and \f$\mathbf{A_{rr}}\f$ is the Hessian of the activation | ||
| 31 | * model. | ||
| 32 | * | ||
| 33 | * As described in `CostModelAbstractTpl()`, the cost value and its derivatives | ||
| 34 | * are calculated by `calc` and `calcDiff`, respectively. | ||
| 35 | * | ||
| 36 | * \sa `CostModelAbstractTpl`, `calc()`, `calcDiff()`, `createData()` | ||
| 37 | */ | ||
| 38 | template <typename _Scalar> | ||
| 39 | class CostModelResidualTpl : public CostModelAbstractTpl<_Scalar> { | ||
| 40 | public: | ||
| 41 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 42 | ✗ | CROCODDYL_DERIVED_CAST(CostModelBase, CostModelResidualTpl) | |
| 43 | |||
| 44 | typedef _Scalar Scalar; | ||
| 45 | typedef MathBaseTpl<Scalar> MathBase; | ||
| 46 | typedef CostModelAbstractTpl<Scalar> Base; | ||
| 47 | typedef CostDataResidualTpl<Scalar> Data; | ||
| 48 | typedef CostDataAbstractTpl<Scalar> CostDataAbstract; | ||
| 49 | typedef ResidualModelAbstractTpl<Scalar> ResidualModelAbstract; | ||
| 50 | typedef ActivationModelAbstractTpl<Scalar> ActivationModelAbstract; | ||
| 51 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
| 52 | typedef typename MathBase::VectorXs VectorXs; | ||
| 53 | typedef typename MathBase::MatrixXs MatrixXs; | ||
| 54 | |||
| 55 | /** | ||
| 56 | * @brief Initialize the residual cost model | ||
| 57 | * | ||
| 58 | * @param[in] state State of the multibody system | ||
| 59 | * @param[in] activation Activation model | ||
| 60 | * @param[in] residual Residual model | ||
| 61 | */ | ||
| 62 | CostModelResidualTpl(std::shared_ptr<typename Base::StateAbstract> state, | ||
| 63 | std::shared_ptr<ActivationModelAbstract> activation, | ||
| 64 | std::shared_ptr<ResidualModelAbstract> residual); | ||
| 65 | /** | ||
| 66 | * @brief Initialize the residual cost model | ||
| 67 | * | ||
| 68 | * We use `ActivationModelQuadTpl` as a default activation model (i.e. | ||
| 69 | * \f$a=\frac{1}{2}\|\mathbf{r}\|^2\f$). | ||
| 70 | * | ||
| 71 | * @param[in] state State of the multibody system | ||
| 72 | * @param[in] residual Residual model | ||
| 73 | */ | ||
| 74 | CostModelResidualTpl(std::shared_ptr<typename Base::StateAbstract> state, | ||
| 75 | std::shared_ptr<ResidualModelAbstract> residual); | ||
| 76 | ✗ | virtual ~CostModelResidualTpl() = default; | |
| 77 | |||
| 78 | /** | ||
| 79 | * @brief Compute the residual cost | ||
| 80 | * | ||
| 81 | * @param[in] data Residual cost data | ||
| 82 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
| 83 | * @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ | ||
| 84 | */ | ||
| 85 | virtual void calc(const std::shared_ptr<CostDataAbstract>& data, | ||
| 86 | const Eigen::Ref<const VectorXs>& x, | ||
| 87 | const Eigen::Ref<const VectorXs>& u) override; | ||
| 88 | |||
| 89 | /** | ||
| 90 | * @brief Compute the residual cost based on state only | ||
| 91 | * | ||
| 92 | * It updates the total cost based on the state only. This function is used in | ||
| 93 | * the terminal nodes of an optimal control problem. | ||
| 94 | * | ||
| 95 | * @param[in] data Residual cost data | ||
| 96 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
| 97 | */ | ||
| 98 | virtual void calc(const std::shared_ptr<CostDataAbstract>& data, | ||
| 99 | const Eigen::Ref<const VectorXs>& x) override; | ||
| 100 | |||
| 101 | /** | ||
| 102 | * @brief Compute the derivatives of the residual cost | ||
| 103 | * | ||
| 104 | * @param[in] data Residual cost data | ||
| 105 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
| 106 | * @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ | ||
| 107 | */ | ||
| 108 | virtual void calcDiff(const std::shared_ptr<CostDataAbstract>& data, | ||
| 109 | const Eigen::Ref<const VectorXs>& x, | ||
| 110 | const Eigen::Ref<const VectorXs>& u) override; | ||
| 111 | |||
| 112 | /** | ||
| 113 | * @brief Compute the derivatives of the residual cost with respect to the | ||
| 114 | * state only | ||
| 115 | * | ||
| 116 | * It updates the Jacobian and Hessian of the cost function based on the state | ||
| 117 | * only. This function is used in the terminal nodes of an optimal control | ||
| 118 | * problem. | ||
| 119 | * | ||
| 120 | * @param[in] data Residual cost data | ||
| 121 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
| 122 | */ | ||
| 123 | virtual void calcDiff(const std::shared_ptr<CostDataAbstract>& data, | ||
| 124 | const Eigen::Ref<const VectorXs>& x) override; | ||
| 125 | |||
| 126 | /** | ||
| 127 | * @brief Create the residual cost data | ||
| 128 | */ | ||
| 129 | virtual std::shared_ptr<CostDataAbstract> createData( | ||
| 130 | DataCollectorAbstract* const data) override; | ||
| 131 | |||
| 132 | /** | ||
| 133 | * @brief Cast the residual cost model to a different scalar type. | ||
| 134 | * | ||
| 135 | * It is useful for operations requiring different precision or scalar types. | ||
| 136 | * | ||
| 137 | * @tparam NewScalar The new scalar type to cast to. | ||
| 138 | * @return CostModelResidualTpl<NewScalar> A cost model with the | ||
| 139 | * new scalar type. | ||
| 140 | */ | ||
| 141 | template <typename NewScalar> | ||
| 142 | CostModelResidualTpl<NewScalar> cast() const; | ||
| 143 | |||
| 144 | /** | ||
| 145 | * @brief Print relevant information of the cost-residual model | ||
| 146 | * | ||
| 147 | * @param[out] os Output stream object | ||
| 148 | */ | ||
| 149 | virtual void print(std::ostream& os) const override; | ||
| 150 | |||
| 151 | protected: | ||
| 152 | using Base::activation_; | ||
| 153 | using Base::nu_; | ||
| 154 | using Base::residual_; | ||
| 155 | using Base::state_; | ||
| 156 | using Base::unone_; | ||
| 157 | }; | ||
| 158 | |||
| 159 | template <typename _Scalar> | ||
| 160 | struct CostDataResidualTpl : public CostDataAbstractTpl<_Scalar> { | ||
| 161 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 162 | |||
| 163 | typedef _Scalar Scalar; | ||
| 164 | typedef MathBaseTpl<Scalar> MathBase; | ||
| 165 | typedef CostDataAbstractTpl<Scalar> Base; | ||
| 166 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
| 167 | |||
| 168 | template <template <typename Scalar> class Model> | ||
| 169 | ✗ | CostDataResidualTpl(Model<Scalar>* const model, | |
| 170 | DataCollectorAbstract* const data) | ||
| 171 | ✗ | : Base(model, data) {} | |
| 172 | ✗ | virtual ~CostDataResidualTpl() = default; | |
| 173 | |||
| 174 | using Base::activation; | ||
| 175 | using Base::cost; | ||
| 176 | using Base::Lu; | ||
| 177 | using Base::Luu; | ||
| 178 | using Base::Lx; | ||
| 179 | using Base::Lxu; | ||
| 180 | using Base::Lxx; | ||
| 181 | using Base::residual; | ||
| 182 | using Base::shared; | ||
| 183 | }; | ||
| 184 | |||
| 185 | } // namespace crocoddyl | ||
| 186 | |||
| 187 | /* --- Details -------------------------------------------------------------- */ | ||
| 188 | /* --- Details -------------------------------------------------------------- */ | ||
| 189 | /* --- Details -------------------------------------------------------------- */ | ||
| 190 | #include "crocoddyl/core/costs/residual.hxx" | ||
| 191 | |||
| 192 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_CLASS(crocoddyl::CostModelResidualTpl) | ||
| 193 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_STRUCT(crocoddyl::CostDataResidualTpl) | ||
| 194 | |||
| 195 | #endif // CROCODDYL_CORE_COSTS_RESIDUAL_COST_HPP_ | ||
| 196 |