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|---|---|---|---|
| 1 | /////////////////////////////////////////////////////////////////////////////// | ||
| 2 | // BSD 3-Clause License | ||
| 3 | // | ||
| 4 | // Copyright (C) 2019-2025, LAAS-CNRS, University of Edinburgh, | ||
| 5 | // New York University, Max Planck Gesellschaft, | ||
| 6 | // Heriot-Watt University | ||
| 7 | // Copyright note valid unless otherwise stated in individual files. | ||
| 8 | // All rights reserved. | ||
| 9 | /////////////////////////////////////////////////////////////////////////////// | ||
| 10 | |||
| 11 | namespace crocoddyl { | ||
| 12 | |||
| 13 | template <typename Scalar> | ||
| 14 | ✗ | StateNumDiffTpl<Scalar>::StateNumDiffTpl(std::shared_ptr<Base> state) | |
| 15 | : Base(state->get_nx(), state->get_ndx()), | ||
| 16 | ✗ | state_(state), | |
| 17 | ✗ | e_jac_(sqrt(Scalar(2.0) * std::numeric_limits<Scalar>::epsilon())) {} | |
| 18 | |||
| 19 | template <typename Scalar> | ||
| 20 | ✗ | StateNumDiffTpl<Scalar>::~StateNumDiffTpl() {} | |
| 21 | |||
| 22 | template <typename Scalar> | ||
| 23 | ✗ | typename MathBaseTpl<Scalar>::VectorXs StateNumDiffTpl<Scalar>::zero() const { | |
| 24 | ✗ | return state_->zero(); | |
| 25 | } | ||
| 26 | |||
| 27 | template <typename Scalar> | ||
| 28 | ✗ | typename MathBaseTpl<Scalar>::VectorXs StateNumDiffTpl<Scalar>::rand() const { | |
| 29 | ✗ | return state_->rand(); | |
| 30 | } | ||
| 31 | |||
| 32 | template <typename Scalar> | ||
| 33 | ✗ | void StateNumDiffTpl<Scalar>::diff(const Eigen::Ref<const VectorXs>& x0, | |
| 34 | const Eigen::Ref<const VectorXs>& x1, | ||
| 35 | Eigen::Ref<VectorXs> dxout) const { | ||
| 36 | ✗ | if (static_cast<std::size_t>(x0.size()) != nx_) { | |
| 37 | ✗ | throw_pretty( | |
| 38 | "Invalid argument: " << "x0 has wrong dimension (it should be " + | ||
| 39 | std::to_string(nx_) + ")"); | ||
| 40 | } | ||
| 41 | ✗ | if (static_cast<std::size_t>(x1.size()) != nx_) { | |
| 42 | ✗ | throw_pretty( | |
| 43 | "Invalid argument: " << "x1 has wrong dimension (it should be " + | ||
| 44 | std::to_string(nx_) + ")"); | ||
| 45 | } | ||
| 46 | ✗ | if (static_cast<std::size_t>(dxout.size()) != ndx_) { | |
| 47 | ✗ | throw_pretty( | |
| 48 | "Invalid argument: " << "dxout has wrong dimension (it should be " + | ||
| 49 | std::to_string(ndx_) + ")"); | ||
| 50 | } | ||
| 51 | ✗ | state_->diff(x0, x1, dxout); | |
| 52 | ✗ | } | |
| 53 | |||
| 54 | template <typename Scalar> | ||
| 55 | ✗ | void StateNumDiffTpl<Scalar>::integrate(const Eigen::Ref<const VectorXs>& x, | |
| 56 | const Eigen::Ref<const VectorXs>& dx, | ||
| 57 | Eigen::Ref<VectorXs> xout) const { | ||
| 58 | ✗ | if (static_cast<std::size_t>(x.size()) != nx_) { | |
| 59 | ✗ | throw_pretty( | |
| 60 | "Invalid argument: " << "x has wrong dimension (it should be " + | ||
| 61 | std::to_string(nx_) + ")"); | ||
| 62 | } | ||
| 63 | ✗ | if (static_cast<std::size_t>(dx.size()) != ndx_) { | |
| 64 | ✗ | throw_pretty( | |
| 65 | "Invalid argument: " << "dx has wrong dimension (it should be " + | ||
| 66 | std::to_string(ndx_) + ")"); | ||
| 67 | } | ||
| 68 | ✗ | if (static_cast<std::size_t>(xout.size()) != nx_) { | |
| 69 | ✗ | throw_pretty( | |
| 70 | "Invalid argument: " << "xout has wrong dimension (it should be " + | ||
| 71 | std::to_string(nx_) + ")"); | ||
| 72 | } | ||
| 73 | ✗ | state_->integrate(x, dx, xout); | |
| 74 | ✗ | } | |
| 75 | |||
| 76 | template <typename Scalar> | ||
| 77 | ✗ | void StateNumDiffTpl<Scalar>::Jdiff(const Eigen::Ref<const VectorXs>& x0, | |
| 78 | const Eigen::Ref<const VectorXs>& x1, | ||
| 79 | Eigen::Ref<MatrixXs> Jfirst, | ||
| 80 | Eigen::Ref<MatrixXs> Jsecond, | ||
| 81 | Jcomponent firstsecond) const { | ||
| 82 | ✗ | assert_pretty( | |
| 83 | is_a_Jcomponent(firstsecond), | ||
| 84 | ("firstsecond must be one of the Jcomponent {both, first, second}")); | ||
| 85 | ✗ | if (static_cast<std::size_t>(x0.size()) != nx_) { | |
| 86 | ✗ | throw_pretty( | |
| 87 | "Invalid argument: " << "x0 has wrong dimension (it should be " + | ||
| 88 | std::to_string(nx_) + ")"); | ||
| 89 | } | ||
| 90 | ✗ | if (static_cast<std::size_t>(x1.size()) != nx_) { | |
| 91 | ✗ | throw_pretty( | |
| 92 | "Invalid argument: " << "x1 has wrong dimension (it should be " + | ||
| 93 | std::to_string(nx_) + ")"); | ||
| 94 | } | ||
| 95 | ✗ | VectorXs tmp_x_ = VectorXs::Zero(nx_); | |
| 96 | ✗ | VectorXs dx_ = VectorXs::Zero(ndx_); | |
| 97 | ✗ | VectorXs dx0_ = VectorXs::Zero(ndx_); | |
| 98 | |||
| 99 | ✗ | dx_.setZero(); | |
| 100 | ✗ | diff(x0, x1, dx0_); | |
| 101 | ✗ | if (firstsecond == first || firstsecond == both) { | |
| 102 | ✗ | const Scalar x0h_jac = e_jac_ * std::max(Scalar(1.), x0.norm()); | |
| 103 | ✗ | if (static_cast<std::size_t>(Jfirst.rows()) != ndx_ || | |
| 104 | ✗ | static_cast<std::size_t>(Jfirst.cols()) != ndx_) { | |
| 105 | ✗ | throw_pretty( | |
| 106 | "Invalid argument: " << "Jfirst has wrong dimension (it should be " + | ||
| 107 | std::to_string(ndx_) + "," + | ||
| 108 | std::to_string(ndx_) + ")"); | ||
| 109 | } | ||
| 110 | ✗ | Jfirst.setZero(); | |
| 111 | ✗ | for (std::size_t i = 0; i < ndx_; ++i) { | |
| 112 | ✗ | dx_(i) = x0h_jac; | |
| 113 | ✗ | integrate(x0, dx_, tmp_x_); | |
| 114 | ✗ | diff(tmp_x_, x1, Jfirst.col(i)); | |
| 115 | ✗ | Jfirst.col(i) -= dx0_; | |
| 116 | ✗ | dx_(i) = Scalar(0.); | |
| 117 | } | ||
| 118 | ✗ | Jfirst /= x0h_jac; | |
| 119 | } | ||
| 120 | ✗ | if (firstsecond == second || firstsecond == both) { | |
| 121 | ✗ | const Scalar x1h_jac = e_jac_ * std::max(Scalar(1.), x1.norm()); | |
| 122 | ✗ | if (static_cast<std::size_t>(Jsecond.rows()) != ndx_ || | |
| 123 | ✗ | static_cast<std::size_t>(Jsecond.cols()) != ndx_) { | |
| 124 | ✗ | throw_pretty( | |
| 125 | "Invalid argument: " << "Jsecond has wrong dimension (it should be " + | ||
| 126 | std::to_string(ndx_) + "," + | ||
| 127 | std::to_string(ndx_) + ")"); | ||
| 128 | } | ||
| 129 | |||
| 130 | ✗ | Jsecond.setZero(); | |
| 131 | ✗ | for (std::size_t i = 0; i < ndx_; ++i) { | |
| 132 | ✗ | dx_(i) = x1h_jac; | |
| 133 | ✗ | integrate(x1, dx_, tmp_x_); | |
| 134 | ✗ | diff(x0, tmp_x_, Jsecond.col(i)); | |
| 135 | ✗ | Jsecond.col(i) -= dx0_; | |
| 136 | ✗ | dx_(i) = Scalar(0.); | |
| 137 | } | ||
| 138 | ✗ | Jsecond /= x1h_jac; | |
| 139 | } | ||
| 140 | ✗ | } | |
| 141 | |||
| 142 | template <typename Scalar> | ||
| 143 | ✗ | void StateNumDiffTpl<Scalar>::Jintegrate(const Eigen::Ref<const VectorXs>& x, | |
| 144 | const Eigen::Ref<const VectorXs>& dx, | ||
| 145 | Eigen::Ref<MatrixXs> Jfirst, | ||
| 146 | Eigen::Ref<MatrixXs> Jsecond, | ||
| 147 | const Jcomponent firstsecond, | ||
| 148 | const AssignmentOp) const { | ||
| 149 | ✗ | assert_pretty( | |
| 150 | is_a_Jcomponent(firstsecond), | ||
| 151 | ("firstsecond must be one of the Jcomponent {both, first, second}")); | ||
| 152 | ✗ | if (static_cast<std::size_t>(x.size()) != nx_) { | |
| 153 | ✗ | throw_pretty( | |
| 154 | "Invalid argument: " << "x has wrong dimension (it should be " + | ||
| 155 | std::to_string(nx_) + ")"); | ||
| 156 | } | ||
| 157 | ✗ | if (static_cast<std::size_t>(dx.size()) != ndx_) { | |
| 158 | ✗ | throw_pretty( | |
| 159 | "Invalid argument: " << "dx has wrong dimension (it should be " + | ||
| 160 | std::to_string(ndx_) + ")"); | ||
| 161 | } | ||
| 162 | ✗ | VectorXs tmp_x_ = VectorXs::Zero(nx_); | |
| 163 | ✗ | VectorXs dx_ = VectorXs::Zero(ndx_); | |
| 164 | ✗ | VectorXs x0_ = VectorXs::Zero(nx_); | |
| 165 | |||
| 166 | // x0_ = integrate(x, dx) | ||
| 167 | ✗ | integrate(x, dx, x0_); | |
| 168 | |||
| 169 | ✗ | if (firstsecond == first || firstsecond == both) { | |
| 170 | ✗ | const Scalar xh_jac = e_jac_ * std::max(Scalar(1.), x.norm()); | |
| 171 | ✗ | if (static_cast<std::size_t>(Jfirst.rows()) != ndx_ || | |
| 172 | ✗ | static_cast<std::size_t>(Jfirst.cols()) != ndx_) { | |
| 173 | ✗ | throw_pretty( | |
| 174 | "Invalid argument: " << "Jfirst has wrong dimension (it should be " + | ||
| 175 | std::to_string(ndx_) + "," + | ||
| 176 | std::to_string(ndx_) + ")"); | ||
| 177 | } | ||
| 178 | ✗ | Jfirst.setZero(); | |
| 179 | ✗ | for (std::size_t i = 0; i < ndx_; ++i) { | |
| 180 | ✗ | dx_(i) = xh_jac; | |
| 181 | ✗ | integrate(x, dx_, tmp_x_); | |
| 182 | ✗ | integrate(tmp_x_, dx, tmp_x_); | |
| 183 | ✗ | diff(x0_, tmp_x_, Jfirst.col(i)); | |
| 184 | ✗ | dx_(i) = Scalar(0.); | |
| 185 | } | ||
| 186 | ✗ | Jfirst /= xh_jac; | |
| 187 | } | ||
| 188 | ✗ | if (firstsecond == second || firstsecond == both) { | |
| 189 | ✗ | const Scalar dxh_jac = e_jac_ * std::max(Scalar(1.), dx.norm()); | |
| 190 | ✗ | if (static_cast<std::size_t>(Jsecond.rows()) != ndx_ || | |
| 191 | ✗ | static_cast<std::size_t>(Jsecond.cols()) != ndx_) { | |
| 192 | ✗ | throw_pretty( | |
| 193 | "Invalid argument: " << "Jsecond has wrong dimension (it should be " + | ||
| 194 | std::to_string(ndx_) + "," + | ||
| 195 | std::to_string(ndx_) + ")"); | ||
| 196 | } | ||
| 197 | ✗ | Jsecond.setZero(); | |
| 198 | ✗ | for (std::size_t i = 0; i < ndx_; ++i) { | |
| 199 | ✗ | dx_(i) = dxh_jac; | |
| 200 | ✗ | integrate(x, dx + dx_, tmp_x_); | |
| 201 | ✗ | diff(x0_, tmp_x_, Jsecond.col(i)); | |
| 202 | ✗ | dx_(i) = Scalar(0.); | |
| 203 | } | ||
| 204 | ✗ | Jsecond /= dxh_jac; | |
| 205 | } | ||
| 206 | ✗ | } | |
| 207 | |||
| 208 | template <typename Scalar> | ||
| 209 | template <typename NewScalar> | ||
| 210 | ✗ | StateNumDiffTpl<NewScalar> StateNumDiffTpl<Scalar>::cast() const { | |
| 211 | typedef StateNumDiffTpl<NewScalar> ReturnType; | ||
| 212 | ✗ | ReturnType res(state_->template cast<NewScalar>()); | |
| 213 | ✗ | return res; | |
| 214 | } | ||
| 215 | |||
| 216 | template <typename Scalar> | ||
| 217 | ✗ | void StateNumDiffTpl<Scalar>::JintegrateTransport( | |
| 218 | const Eigen::Ref<const VectorXs>&, const Eigen::Ref<const VectorXs>&, | ||
| 219 | ✗ | Eigen::Ref<MatrixXs>, const Jcomponent) const {} | |
| 220 | |||
| 221 | template <typename Scalar> | ||
| 222 | ✗ | const Scalar StateNumDiffTpl<Scalar>::get_disturbance() const { | |
| 223 | ✗ | return e_jac_; | |
| 224 | } | ||
| 225 | |||
| 226 | template <typename Scalar> | ||
| 227 | ✗ | void StateNumDiffTpl<Scalar>::set_disturbance(Scalar disturbance) { | |
| 228 | ✗ | if (disturbance < Scalar(0.)) { | |
| 229 | ✗ | throw_pretty("Invalid argument: " << "Disturbance constant is positive"); | |
| 230 | } | ||
| 231 | ✗ | e_jac_ = disturbance; | |
| 232 | ✗ | } | |
| 233 | |||
| 234 | template <typename Scalar> | ||
| 235 | ✗ | void StateNumDiffTpl<Scalar>::print(std::ostream& os) const { | |
| 236 | ✗ | os << "StateNumDiff {state=" << *state_ << "}"; | |
| 237 | ✗ | } | |
| 238 | |||
| 239 | } // namespace crocoddyl | ||
| 240 |