// Ceres Solver - A fast non-linear least squares minimizer
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// Author: nikolaus@nikolaus-demmel.de (Nikolaus Demmel)
//
//
#ifndef CERES_INTERNAL_AUTODIFF_BENCHMARK_RELATIVE_POSE_ERROR_H_
#define CERES_INTERNAL_AUTODIFF_BENCHMARK_RELATIVE_POSE_ERROR_H_

#include <Eigen/Dense>

#include "ceres/rotation.h"

namespace ceres {

// Relative pose error as one might use in SE(3) pose graph optimization.
// The measurement is a relative pose T_i_j, and the parameters are absolute
// poses T_w_i and T_w_j. For the residual we use the log of the the residual
// pose, in split representation SO(3) x R^3.
struct RelativePoseError {
  RelativePoseError(const Eigen::Quaterniond& q_i_j,
                    const Eigen::Vector3d& t_i_j)
      : meas_q_i_j_(q_i_j), meas_t_i_j_(t_i_j) {}

  template <typename T>
  inline bool operator()(const T* const pose_i_ptr,
                         const T* const pose_j_ptr,
                         T* residuals_ptr) const {
    Eigen::Map<const Eigen::Quaternion<T>> q_w_i(pose_i_ptr);
    Eigen::Map<const Eigen::Matrix<T, 3, 1>> t_w_i(pose_i_ptr + 4);
    Eigen::Map<const Eigen::Quaternion<T>> q_w_j(pose_j_ptr);
    Eigen::Map<const Eigen::Matrix<T, 3, 1>> t_w_j(pose_j_ptr + 4);
    Eigen::Map<Eigen::Matrix<T, 6, 1>> residuals(residuals_ptr);

    // Compute estimate of relative pose from i to j.
    const Eigen::Quaternion<T> est_q_j_i = q_w_j.conjugate() * q_w_i;
    const Eigen::Matrix<T, 3, 1> est_t_j_i =
        q_w_j.conjugate() * (t_w_i - t_w_j);

    // Compute residual pose.
    const Eigen::Quaternion<T> res_q = meas_q_i_j_.cast<T>() * est_q_j_i;
    const Eigen::Matrix<T, 3, 1> res_t =
        meas_q_i_j_.cast<T>() * est_t_j_i + meas_t_i_j_;

    // Convert quaternion to ceres convention (Eigen stores xyzw, Ceres wxyz).
    Eigen::Matrix<T, 4, 1> res_q_ceres;
    res_q_ceres << res_q.w(), res_q.vec();

    // Residual is log of pose. Use split representation SO(3) x R^3.
    QuaternionToAngleAxis(res_q_ceres.data(), residuals.data());
    residuals.template bottomRows<3>() = res_t;

    return true;
  }

 private:
  // Measurement of relative pose from j to i.
  Eigen::Quaterniond meas_q_i_j_;
  Eigen::Vector3d meas_t_i_j_;
};
}  // namespace ceres
#endif  // CERES_INTERNAL_AUTODIFF_BENCHMARK_RELATIVE_POSE_ERROR_H_