#include "kalmanfilter.h"
#include <Eigen/Cholesky>

const double KalmanFilterTrack::chi2inv95[10] = {
    0,
    3.8415,
    5.9915,
    7.8147,
    9.4877,
    11.070,
    12.592,
    14.067,
    15.507,
    16.919
};
KalmanFilterTrack::KalmanFilterTrack()
{
    int ndim = 4;
    double dt = 1.;

    _motion_mat = Eigen::MatrixXf::Identity(8, 8);
    for(int i = 0; i < ndim; i++) {
        _motion_mat(i, ndim+i) = dt;
    }
    _update_mat = Eigen::MatrixXf::Identity(4, 8);

    this->_std_weight_position = 1. / 20;
    this->_std_weight_velocity = 1. / 160;
}

KAL_DATA KalmanFilterTrack::initiate(const DETECTBOX &measurement)
{
    DETECTBOX mean_pos = measurement;
    DETECTBOX mean_vel;
    for(int i = 0; i < 4; i++) mean_vel(i) = 0;

    KAL_MEAN mean;
    for(int i = 0; i < 8; i++){
        if(i < 4) mean(i) = mean_pos(i);
        else mean(i) = mean_vel(i - 4);
    }

    KAL_MEAN std;
    std(0) = 2 * _std_weight_position * measurement[3];
    std(1) = 2 * _std_weight_position * measurement[3];
    std(2) = 1e-2;
    std(3) = 2 * _std_weight_position * measurement[3];
    std(4) = 10 * _std_weight_velocity * measurement[3];
    std(5) = 10 * _std_weight_velocity * measurement[3];
    std(6) = 1e-5;
    std(7) = 10 * _std_weight_velocity * measurement[3];

    KAL_MEAN tmp = std.array().square();
    KAL_COVA var = tmp.asDiagonal();
    return std::make_pair(mean, var);
}

void KalmanFilterTrack::predict(KAL_MEAN &mean, KAL_COVA &covariance)
{
    //revise the data;
    DETECTBOX std_pos;
    std_pos << _std_weight_position * mean(3),
            _std_weight_position * mean(3),
            1e-2,
            _std_weight_position * mean(3);
    DETECTBOX std_vel;
    std_vel << _std_weight_velocity * mean(3),
            _std_weight_velocity * mean(3),
            1e-5,
            _std_weight_velocity * mean(3);
    KAL_MEAN tmp;
    tmp.block<1,4>(0,0) = std_pos;
    tmp.block<1,4>(0,4) = std_vel;
    tmp = tmp.array().square();
    KAL_COVA motion_cov = tmp.asDiagonal();
    KAL_MEAN mean1 = this->_motion_mat * mean.transpose();
    KAL_COVA covariance1 = this->_motion_mat * covariance *(_motion_mat.transpose());
    covariance1 += motion_cov;

    mean = mean1;
    covariance = covariance1;
}

KAL_HDATA KalmanFilterTrack::project(const KAL_MEAN &mean, const KAL_COVA &covariance)
{
    DETECTBOX std;
    std << _std_weight_position * mean(3), _std_weight_position * mean(3),
            1e-1, _std_weight_position * mean(3);
    KAL_HMEAN mean1 = _update_mat * mean.transpose();
    KAL_HCOVA covariance1 = _update_mat * covariance * (_update_mat.transpose());
    Eigen::Matrix<float, 4, 4> diag = std.asDiagonal();
    diag = diag.array().square().matrix();
    covariance1 += diag;
//    covariance1.diagonal() << diag;
    return std::make_pair(mean1, covariance1);
}

KAL_DATA
KalmanFilterTrack::update(
        const KAL_MEAN &mean,
        const KAL_COVA &covariance,
        const DETECTBOX &measurement)
{
    KAL_HDATA pa = project(mean, covariance);
    KAL_HMEAN projected_mean = pa.first;
    KAL_HCOVA projected_cov = pa.second;

    //chol_factor, lower =
    //scipy.linalg.cho_factor(projected_cov, lower=True, check_finite=False)
    //kalmain_gain =
    //scipy.linalg.cho_solve((cho_factor, lower),
    //np.dot(covariance, self._upadte_mat.T).T,
    //check_finite=False).T
    Eigen::Matrix<float, 4, 8> B = (covariance * (_update_mat.transpose())).transpose();
    Eigen::Matrix<float, 8, 4> kalman_gain = (projected_cov.llt().solve(B)).transpose(); // eg.8x4
    Eigen::Matrix<float, 1, 4> innovation = measurement - projected_mean; //eg.1x4
    auto tmp = innovation*(kalman_gain.transpose());
    KAL_MEAN new_mean = (mean.array() + tmp.array()).matrix();
    KAL_COVA new_covariance = covariance - kalman_gain*projected_cov*(kalman_gain.transpose());
    return std::make_pair(new_mean, new_covariance);
}

Eigen::Matrix<float, 1, -1>
KalmanFilterTrack::gating_distance(
        const KAL_MEAN &mean,
        const KAL_COVA &covariance,
        const std::vector<DETECTBOX> &measurements,
        bool only_position)
{
    KAL_HDATA pa = this->project(mean, covariance);
    if(only_position) {
        printf("not implement!");
        exit(0);
    }
    KAL_HMEAN mean1 = pa.first;
    KAL_HCOVA covariance1 = pa.second;

//    Eigen::Matrix<float, -1, 4, Eigen::RowMajor> d(size, 4);
    DETECTBOXSS d(measurements.size(), 4);
    int pos = 0;
    for(DETECTBOX box:measurements) {        
        d.row(pos++) = box - mean1;
    }
    Eigen::Matrix<float, -1, -1, Eigen::RowMajor> factor = covariance1.llt().matrixL();
    Eigen::Matrix<float, -1, -1> z = factor.triangularView<Eigen::Lower>().solve<Eigen::OnTheRight>(d).transpose();
    auto zz = ((z.array())*(z.array())).matrix();
    auto square_maha = zz.colwise().sum();
    return square_maha;
}