/**
 ******************************************************************************
 *
 * @file       paths.c
 * @author     The OpenPilot Team, http://www.openpilot.org Copyright (C) 2012.
 * @brief      Library path manipulation
 *
 * @see        The GNU Public License (GPL) Version 3
 *
 *****************************************************************************/
/*
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
 * for more details.
 *
 * You should have received a copy of the GNU General Public License along
 * with this program; if not, write to the Free Software Foundation, Inc.,
 * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
 */

#include <pios.h>
#include <pios_math.h>

#include "paths.h"

#include "uavobjectmanager.h" // <--.
#include "pathdesired.h" // <-- needed only for correct ENUM macro usage with path modes (PATHDESIRED_MODE_xxx,
// no direct UAVObject usage allowed in this file

// private functions
static void path_endpoint(float *start_point, float *end_point, float *cur_point, struct path_status *status);
static void path_vector(float *start_point, float *end_point, float *cur_point, struct path_status *status);
static void path_circle(float *start_point, float *end_point, float *cur_point, struct path_status *status, bool clockwise);

/**
 * @brief Compute progress along path and deviation from it
 * @param[in] start_point Starting point
 * @param[in] end_point Ending point
 * @param[in] cur_point Current location
 * @param[in] mode Path following mode
 * @param[out] status Structure containing progress along path and deviation
 */
void path_progress(float *start_point, float *end_point, float *cur_point, struct path_status *status, uint8_t mode)
{
    switch (mode) {
    case PATHDESIRED_MODE_FLYVECTOR:
    case PATHDESIRED_MODE_DRIVEVECTOR:
        return path_vector(start_point, end_point, cur_point, status);

        break;
    case PATHDESIRED_MODE_FLYCIRCLERIGHT:
    case PATHDESIRED_MODE_DRIVECIRCLERIGHT:
        return path_circle(start_point, end_point, cur_point, status, 1);

        break;
    case PATHDESIRED_MODE_FLYCIRCLELEFT:
    case PATHDESIRED_MODE_DRIVECIRCLELEFT:
        return path_circle(start_point, end_point, cur_point, status, 0);

        break;
    case PATHDESIRED_MODE_FLYENDPOINT:
    case PATHDESIRED_MODE_DRIVEENDPOINT:
    default:
        // use the endpoint as default failsafe if called in unknown modes
        return path_endpoint(start_point, end_point, cur_point, status);

        break;
    }
}

/**
 * @brief Compute progress towards endpoint. Deviation equals distance
 * @param[in] start_point Starting point
 * @param[in] end_point Ending point
 * @param[in] cur_point Current location
 * @param[out] status Structure containing progress along path and deviation
 */
static void path_endpoint(float *start_point, float *end_point, float *cur_point, struct path_status *status)
{
    float path_north, path_east, diff_north, diff_east;
    float dist_path, dist_diff;

    // we do not correct in this mode
    status->correction_direction[0] = status->correction_direction[1] = 0;

    // Distance to go
    path_north = end_point[0] - start_point[0];
    path_east  = end_point[1] - start_point[1];

    // Current progress location relative to end
    diff_north = end_point[0] - cur_point[0];
    diff_east  = end_point[1] - cur_point[1];

    dist_diff  = sqrtf(diff_north * diff_north + diff_east * diff_east);
    dist_path  = sqrtf(path_north * path_north + path_east * path_east);

    if (dist_diff < 1e-6f) {
        status->fractional_progress = 1;
        status->error = 0;
        status->path_direction[0]   = status->path_direction[1] = 0;
        return;
    }

    status->fractional_progress = 1 - dist_diff / (1 + dist_path);
    status->error = dist_diff;

    // Compute direction to travel
    status->path_direction[0] = diff_north / dist_diff;
    status->path_direction[1] = diff_east / dist_diff;
}

/**
 * @brief Compute progress along path and deviation from it
 * @param[in] start_point Starting point
 * @param[in] end_point Ending point
 * @param[in] cur_point Current location
 * @param[out] status Structure containing progress along path and deviation
 */
static void path_vector(float *start_point, float *end_point, float *cur_point, struct path_status *status)
{
    float path_north, path_east, diff_north, diff_east;
    float dist_path;
    float dot;
    float normal[2];

    // Distance to go
    path_north = end_point[0] - start_point[0];
    path_east  = end_point[1] - start_point[1];

    // Current progress location relative to start
    diff_north = cur_point[0] - start_point[0];
    diff_east  = cur_point[1] - start_point[1];

    dot = path_north * diff_north + path_east * diff_east;
    dist_path  = sqrtf(path_north * path_north + path_east * path_east);

    if (dist_path < 1e-6f) {
        // if the path is too short, we cannot determine vector direction.
        // Fly towards the endpoint to prevent flying away,
        // but assume progress=1 either way.
        path_endpoint(start_point, end_point, cur_point, status);
        status->fractional_progress = 1;
        return;
    }

    // Compute the normal to the path
    normal[0]     = -path_east / dist_path;
    normal[1]     = path_north / dist_path;

    status->fractional_progress = dot / (dist_path * dist_path);
    status->error = normal[0] * diff_north + normal[1] * diff_east;

    // Compute direction to correct error
    status->correction_direction[0] = (status->error > 0) ? -normal[0] : normal[0];
    status->correction_direction[1] = (status->error > 0) ? -normal[1] : normal[1];

    // Now just want magnitude of error
    status->error = fabs(status->error);

    // Compute direction to travel
    status->path_direction[0] = path_north / dist_path;
    status->path_direction[1] = path_east / dist_path;
}

/**
 * @brief Compute progress along circular path and deviation from it
 * @param[in] start_point Starting point
 * @param[in] end_point Center point
 * @param[in] cur_point Current location
 * @param[out] status Structure containing progress along path and deviation
 */
static void path_circle(float *start_point, float *end_point, float *cur_point, struct path_status *status, bool clockwise)
{
    float radius_north, radius_east, diff_north, diff_east;
    float radius, cradius;
    float normal[2];
    float progress;
    float a_diff, a_radius;

    // Radius
    radius_north = end_point[0] - start_point[0];
    radius_east  = end_point[1] - start_point[1];

    // Current location relative to center
    diff_north   = cur_point[0] - end_point[0];
    diff_east    = cur_point[1] - end_point[1];

    radius  = sqrtf(powf(radius_north, 2) + powf(radius_east, 2));
    cradius = sqrtf(powf(diff_north, 2) + powf(diff_east, 2));

    if (cradius < 1e-6f) {
        // cradius is zero, just fly somewhere and make sure correction is still a normal
        status->fractional_progress     = 1;
        status->error = radius;
        status->correction_direction[0] = 0;
        status->correction_direction[1] = 1;
        status->path_direction[0] = 1;
        status->path_direction[1] = 0;
        return;
    }

    if (clockwise) {
        // Compute the normal to the radius clockwise
        normal[0] = -diff_east / cradius;
        normal[1] = diff_north / cradius;
    } else {
        // Compute the normal to the radius counter clockwise
        normal[0] = diff_east / cradius;
        normal[1] = -diff_north / cradius;
    }

    // normalize progress to 0..1
    a_diff   = atan2f(diff_north, diff_east);
    a_radius = atan2f(radius_north, radius_east);

    if (a_diff < 0) {
        a_diff += 2.0f * M_PI_F;
    }
    if (a_radius < 0) {
        a_radius += 2.0f * M_PI_F;
    }

    progress = (a_diff - a_radius + M_PI_F) / (2.0f * M_PI_F);

    if (progress < 0) {
        progress += 1.0f;
    } else if (progress >= 1.0f) {
        progress -= 1.0f;
    }

    if (clockwise) {
        progress = 1 - progress;
    }

    status->fractional_progress = progress;

    // error is current radius minus wanted radius - positive if too close
    status->error = radius - cradius;

    // Compute direction to correct error
    status->correction_direction[0] = (status->error > 0 ? 1 : -1) * diff_north / cradius;
    status->correction_direction[1] = (status->error > 0 ? 1 : -1) * diff_east / cradius;

    // Compute direction to travel
    status->path_direction[0] = normal[0];
    status->path_direction[1] = normal[1];

    status->error = fabs(status->error);
}