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px4-firmware/EKF/geo.cpp

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/****************************************************************************
*
* Copyright (c) 2012-2014 PX4 Development Team. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* 3. Neither the name PX4 nor the names of its contributors may be
* used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
* OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
****************************************************************************/
/**
* @file geo.c
*
* Geo / math functions to perform geodesic calculations
*
* @author Thomas Gubler <thomasgubler@student.ethz.ch>
* @author Julian Oes <joes@student.ethz.ch>
* @author Lorenz Meier <lm@inf.ethz.ch>
* @author Anton Babushkin <anton.babushkin@me.com>
*/
#ifdef POSIX_SHARED
#include "ecl.h"
#include <stdio.h>
#include <math.h>
#include <stdbool.h>
#include <string.h>
#include <float.h>
/****************************************************************************
*
* Copyright (c) 2014 MAV GEO Library (MAVGEO). All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* 3. Neither the name MAVGEO nor the names of its contributors may be
* used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
* OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
****************************************************************************/
/**
* @file geo_mag_declination.c
*
* Calculation / lookup table for earth magnetic field declination.
*
* Lookup table from Scott Ferguson <scottfromscott@gmail.com>
*
* XXX Lookup table currently too coarse in resolution (only full degrees)
* and lat/lon res - needs extension medium term.
*
*/
#include <stdint.h>
#include "geo.h"
/** set this always to the sampling in degrees for the table below */
#define SAMPLING_RES 10.0f
#define SAMPLING_MIN_LAT -60.0f
#define SAMPLING_MAX_LAT 60.0f
#define SAMPLING_MIN_LON -180.0f
#define SAMPLING_MAX_LON 180.0f
static const int8_t declination_table[13][37] = \
{
{ 46, 45, 44, 42, 41, 40, 38, 36, 33, 28, 23, 16, 10, 4, -1, -5, -9, -14, -19, -26, -33, -40, -48, -55, -61, -66, -71, -74, -75, -72, -61, -25, 22, 40, 45, 47, 46 },
{ 30, 30, 30, 30, 29, 29, 29, 29, 27, 24, 18, 11, 3, -3, -9, -12, -15, -17, -21, -26, -32, -39, -45, -51, -55, -57, -56, -53, -44, -31, -14, 0, 13, 21, 26, 29, 30 },
{ 21, 22, 22, 22, 22, 22, 22, 22, 21, 18, 13, 5, -3, -11, -17, -20, -21, -22, -23, -25, -29, -35, -40, -44, -45, -44, -40, -32, -22, -12, -3, 3, 9, 14, 18, 20, 21 },
{ 16, 17, 17, 17, 17, 17, 16, 16, 16, 13, 8, 0, -9, -16, -21, -24, -25, -25, -23, -20, -21, -24, -28, -31, -31, -29, -24, -17, -9, -3, 0, 4, 7, 10, 13, 15, 16 },
{ 12, 13, 13, 13, 13, 13, 12, 12, 11, 9, 3, -4, -12, -19, -23, -24, -24, -22, -17, -12, -9, -10, -13, -17, -18, -16, -13, -8, -3, 0, 1, 3, 6, 8, 10, 12, 12 },
{ 10, 10, 10, 10, 10, 10, 10, 9, 9, 6, 0, -6, -14, -20, -22, -22, -19, -15, -10, -6, -2, -2, -4, -7, -8, -8, -7, -4, 0, 1, 1, 2, 4, 6, 8, 10, 10 },
{ 9, 9, 9, 9, 9, 9, 8, 8, 7, 4, -1, -8, -15, -19, -20, -18, -14, -9, -5, -2, 0, 1, 0, -2, -3, -4, -3, -2, 0, 0, 0, 1, 3, 5, 7, 8, 9 },
{ 8, 8, 8, 9, 9, 9, 8, 8, 6, 2, -3, -9, -15, -18, -17, -14, -10, -6, -2, 0, 1, 2, 2, 0, -1, -1, -2, -1, 0, 0, 0, 0, 1, 3, 5, 7, 8 },
{ 8, 9, 9, 10, 10, 10, 10, 8, 5, 0, -5, -11, -15, -16, -15, -12, -8, -4, -1, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, -1, -2, -2, -1, 0, 3, 6, 8 },
{ 6, 9, 10, 11, 12, 12, 11, 9, 5, 0, -7, -12, -15, -15, -13, -10, -7, -3, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, -1, -3, -4, -5, -5, -2, 0, 3, 6 },
{ 5, 8, 11, 13, 15, 15, 14, 11, 5, -1, -9, -14, -17, -16, -14, -11, -7, -3, 0, 1, 3, 4, 5, 5, 5, 4, 3, 1, -1, -4, -7, -8, -8, -6, -2, 1, 5 },
{ 4, 8, 12, 15, 17, 18, 16, 12, 5, -3, -12, -18, -20, -19, -16, -13, -8, -4, -1, 1, 4, 6, 8, 9, 9, 9, 7, 3, -1, -6, -10, -12, -11, -9, -5, 0, 4 },
{ 3, 9, 14, 17, 20, 21, 19, 14, 4, -8, -19, -25, -26, -25, -21, -17, -12, -7, -2, 1, 5, 9, 13, 15, 16, 16, 13, 7, 0, -7, -12, -15, -14, -11, -6, -1, 3 },
};
static float get_lookup_table_val(unsigned lat, unsigned lon);
float get_mag_declination(float lat, float lon)
{
/*
* If the values exceed valid ranges, return zero as default
* as we have no way of knowing what the closest real value
* would be.
*/
if (lat < -90.0f || lat > 90.0f ||
lon < -180.0f || lon > 180.0f) {
return 0.0f;
}
/* round down to nearest sampling resolution */
int min_lat = (int)(lat / SAMPLING_RES) * SAMPLING_RES;
int min_lon = (int)(lon / SAMPLING_RES) * SAMPLING_RES;
/* for the rare case of hitting the bounds exactly
* the rounding logic wouldn't fit, so enforce it.
*/
/* limit to table bounds - required for maxima even when table spans full globe range */
if (lat <= SAMPLING_MIN_LAT) {
min_lat = SAMPLING_MIN_LAT;
}
if (lat >= SAMPLING_MAX_LAT) {
min_lat = (int)(lat / SAMPLING_RES) * SAMPLING_RES - SAMPLING_RES;
}
if (lon <= SAMPLING_MIN_LON) {
min_lon = SAMPLING_MIN_LON;
}
if (lon >= SAMPLING_MAX_LON) {
min_lon = (int)(lon / SAMPLING_RES) * SAMPLING_RES - SAMPLING_RES;
}
/* find index of nearest low sampling point */
unsigned min_lat_index = (-(SAMPLING_MIN_LAT) + min_lat) / SAMPLING_RES;
unsigned min_lon_index = (-(SAMPLING_MIN_LON) + min_lon) / SAMPLING_RES;
float declination_sw = get_lookup_table_val(min_lat_index, min_lon_index);
float declination_se = get_lookup_table_val(min_lat_index, min_lon_index + 1);
float declination_ne = get_lookup_table_val(min_lat_index + 1, min_lon_index + 1);
float declination_nw = get_lookup_table_val(min_lat_index + 1, min_lon_index);
/* perform bilinear interpolation on the four grid corners */
float declination_min = ((lon - min_lon) / SAMPLING_RES) * (declination_se - declination_sw) + declination_sw;
float declination_max = ((lon - min_lon) / SAMPLING_RES) * (declination_ne - declination_nw) + declination_nw;
return ((lat - min_lat) / SAMPLING_RES) * (declination_max - declination_min) + declination_min;
}
float get_lookup_table_val(unsigned lat_index, unsigned lon_index)
{
return declination_table[lat_index][lon_index];
}
/*
* Azimuthal Equidistant Projection
* formulas according to: http://mathworld.wolfram.com/AzimuthalEquidistantProjection.html
*/
static struct map_projection_reference_s mp_ref = {0.0, 0.0, 0.0, 0.0, false, 0};
static struct globallocal_converter_reference_s gl_ref = {0.0f, false};
bool map_projection_global_initialized()
{
return map_projection_initialized(&mp_ref);
}
bool map_projection_initialized(const struct map_projection_reference_s *ref)
{
return ref->init_done;
}
uint64_t map_projection_global_timestamp()
{
return map_projection_timestamp(&mp_ref);
}
uint64_t map_projection_timestamp(const struct map_projection_reference_s *ref)
{
return ref->timestamp;
}
int map_projection_global_init(double lat_0, double lon_0,
uint64_t timestamp) //lat_0, lon_0 are expected to be in correct format: -> 47.1234567 and not 471234567
{
return map_projection_init_timestamped(&mp_ref, lat_0, lon_0, timestamp);
}
int map_projection_init_timestamped(struct map_projection_reference_s *ref, double lat_0, double lon_0,
uint64_t timestamp) //lat_0, lon_0 are expected to be in correct format: -> 47.1234567 and not 471234567
{
ref->lat_rad = lat_0 * M_DEG_TO_RAD;
ref->lon_rad = lon_0 * M_DEG_TO_RAD;
ref->sin_lat = sin(ref->lat_rad);
ref->cos_lat = cos(ref->lat_rad);
ref->timestamp = timestamp;
ref->init_done = true;
return 0;
}
int map_projection_global_reference(double *ref_lat_rad, double *ref_lon_rad)
{
return map_projection_reference(&mp_ref, ref_lat_rad, ref_lon_rad);
}
int map_projection_reference(const struct map_projection_reference_s *ref, double *ref_lat_rad,
double *ref_lon_rad)
{
if (!map_projection_initialized(ref)) {
return -1;
}
*ref_lat_rad = ref->lat_rad;
*ref_lon_rad = ref->lon_rad;
return 0;
}
int map_projection_global_project(double lat, double lon, float *x, float *y)
{
return map_projection_project(&mp_ref, lat, lon, x, y);
}
int map_projection_project(const struct map_projection_reference_s *ref, double lat, double lon, float *x,
float *y)
{
if (!map_projection_initialized(ref)) {
return -1;
}
double lat_rad = lat * M_DEG_TO_RAD;
double lon_rad = lon * M_DEG_TO_RAD;
double sin_lat = sin(lat_rad);
double cos_lat = cos(lat_rad);
double cos_d_lon = cos(lon_rad - ref->lon_rad);
double arg = ref->sin_lat * sin_lat + ref->cos_lat * cos_lat * cos_d_lon;
if (arg > 1.0) {
arg = 1.0;
} else if (arg < -1.0) {
arg = -1.0;
}
double c = acos(arg);
double k = (fabs(c) < DBL_EPSILON) ? 1.0 : (c / sin(c));
*x = k * (ref->cos_lat * sin_lat - ref->sin_lat * cos_lat * cos_d_lon) * CONSTANTS_RADIUS_OF_EARTH;
*y = k * cos_lat * sin(lon_rad - ref->lon_rad) * CONSTANTS_RADIUS_OF_EARTH;
return 0;
}
int map_projection_global_reproject(float x, float y, double *lat, double *lon)
{
return map_projection_reproject(&mp_ref, x, y, lat, lon);
}
int map_projection_reproject(const struct map_projection_reference_s *ref, float x, float y, double *lat,
double *lon)
{
if (!map_projection_initialized(ref)) {
return -1;
}
double x_rad = x / CONSTANTS_RADIUS_OF_EARTH;
double y_rad = y / CONSTANTS_RADIUS_OF_EARTH;
double c = sqrtf(x_rad * x_rad + y_rad * y_rad);
double sin_c = sin(c);
double cos_c = cos(c);
double lat_rad;
double lon_rad;
if (fabs(c) > DBL_EPSILON) {
lat_rad = asin(cos_c * ref->sin_lat + (x_rad * sin_c * ref->cos_lat) / c);
lon_rad = (ref->lon_rad + atan2(y_rad * sin_c, c * ref->cos_lat * cos_c - x_rad * ref->sin_lat * sin_c));
} else {
lat_rad = ref->lat_rad;
lon_rad = ref->lon_rad;
}
*lat = lat_rad * 180.0 / M_PI;
*lon = lon_rad * 180.0 / M_PI;
return 0;
}
int map_projection_global_getref(double *lat_0, double *lon_0)
{
if (!map_projection_global_initialized()) {
return -1;
}
if (lat_0 != nullptr) {
*lat_0 = M_RAD_TO_DEG * mp_ref.lat_rad;
}
if (lon_0 != nullptr) {
*lon_0 = M_RAD_TO_DEG * mp_ref.lon_rad;
}
return 0;
}
int globallocalconverter_init(double lat_0, double lon_0, float alt_0, uint64_t timestamp)
{
gl_ref.alt = alt_0;
if (!map_projection_global_init(lat_0, lon_0, timestamp)) {
gl_ref.init_done = true;
return 0;
} else {
gl_ref.init_done = false;
return -1;
}
}
bool globallocalconverter_initialized()
{
return gl_ref.init_done && map_projection_global_initialized();
}
int globallocalconverter_tolocal(double lat, double lon, float alt, float *x, float *y, float *z)
{
if (!map_projection_global_initialized()) {
return -1;
}
map_projection_global_project(lat, lon, x, y);
*z = gl_ref.alt - alt;
return 0;
}
int globallocalconverter_toglobal(float x, float y, float z, double *lat, double *lon, float *alt)
{
if (!map_projection_global_initialized()) {
return -1;
}
map_projection_global_reproject(x, y, lat, lon);
*alt = gl_ref.alt - z;
return 0;
}
int globallocalconverter_getref(double *lat_0, double *lon_0, float *alt_0)
{
if (!map_projection_global_initialized()) {
return -1;
}
if (map_projection_global_getref(lat_0, lon_0)) {
return -1;
}
if (alt_0 != nullptr) {
*alt_0 = gl_ref.alt;
}
return 0;
}
float get_distance_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next)
{
double lat_now_rad = lat_now / (double)180.0 * M_PI;
double lon_now_rad = lon_now / (double)180.0 * M_PI;
double lat_next_rad = lat_next / (double)180.0 * M_PI;
double lon_next_rad = lon_next / (double)180.0 * M_PI;
double d_lat = lat_next_rad - lat_now_rad;
double d_lon = lon_next_rad - lon_now_rad;
double a = sin(d_lat / (double)2.0) * sin(d_lat / (double)2.0) + sin(d_lon / (double)2.0) * sin(d_lon /
(double)2.0) * cos(lat_now_rad) * cos(lat_next_rad);
double c = (double)2.0 * atan2(sqrt(a), sqrt((double)1.0 - a));
return CONSTANTS_RADIUS_OF_EARTH * c;
}
void create_waypoint_from_line_and_dist(double lat_A, double lon_A, double lat_B, double lon_B, float dist,
double *lat_target, double *lon_target)
{
if (fabsf(dist) < FLT_EPSILON) {
*lat_target = lat_A;
*lon_target = lon_A;
} else if (dist >= FLT_EPSILON) {
float heading = get_bearing_to_next_waypoint(lat_A, lon_A, lat_B, lon_B);
waypoint_from_heading_and_distance(lat_A, lon_A, heading, dist, lat_target, lon_target);
} else {
float heading = get_bearing_to_next_waypoint(lat_A, lon_A, lat_B, lon_B);
heading = _wrap_2pi(heading + M_PI_F);
waypoint_from_heading_and_distance(lat_A, lon_A, heading, dist, lat_target, lon_target);
}
}
void waypoint_from_heading_and_distance(double lat_start, double lon_start, float bearing, float dist,
double *lat_target, double *lon_target)
{
bearing = _wrap_2pi(bearing);
double radius_ratio = (double)(fabs(dist) / CONSTANTS_RADIUS_OF_EARTH);
double lat_start_rad = lat_start * M_DEG_TO_RAD;
double lon_start_rad = lon_start * M_DEG_TO_RAD;
*lat_target = asin(sin(lat_start_rad) * cos(radius_ratio) + cos(lat_start_rad) * sin(radius_ratio) * cos((
double)bearing));
*lon_target = lon_start_rad + atan2(sin((double)bearing) * sin(radius_ratio) * cos(lat_start_rad),
cos(radius_ratio) - sin(lat_start_rad) * sin(*lat_target));
*lat_target *= M_RAD_TO_DEG;
*lon_target *= M_RAD_TO_DEG;
}
float get_bearing_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next)
{
double lat_now_rad = lat_now * M_DEG_TO_RAD;
double lon_now_rad = lon_now * M_DEG_TO_RAD;
double lat_next_rad = lat_next * M_DEG_TO_RAD;
double lon_next_rad = lon_next * M_DEG_TO_RAD;
double d_lon = lon_next_rad - lon_now_rad;
/* conscious mix of double and float trig function to maximize speed and efficiency */
float theta = atan2f(sin(d_lon) * cos(lat_next_rad),
cos(lat_now_rad) * sin(lat_next_rad) - sin(lat_now_rad) * cos(lat_next_rad) * cos(d_lon));
theta = _wrap_pi(theta);
return theta;
}
void get_vector_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next, float *v_n,
float *v_e)
{
double lat_now_rad = lat_now * M_DEG_TO_RAD;
double lon_now_rad = lon_now * M_DEG_TO_RAD;
double lat_next_rad = lat_next * M_DEG_TO_RAD;
double lon_next_rad = lon_next * M_DEG_TO_RAD;
double d_lon = lon_next_rad - lon_now_rad;
/* conscious mix of double and float trig function to maximize speed and efficiency */
*v_n = CONSTANTS_RADIUS_OF_EARTH * (cos(lat_now_rad) * sin(lat_next_rad) - sin(lat_now_rad) * cos(lat_next_rad) * cos(
d_lon));
*v_e = CONSTANTS_RADIUS_OF_EARTH * sin(d_lon) * cos(lat_next_rad);
}
void get_vector_to_next_waypoint_fast(double lat_now, double lon_now, double lat_next, double lon_next,
float *v_n, float *v_e)
{
double lat_now_rad = lat_now * M_DEG_TO_RAD;
double lon_now_rad = lon_now * M_DEG_TO_RAD;
double lat_next_rad = lat_next * M_DEG_TO_RAD;
double lon_next_rad = lon_next * M_DEG_TO_RAD;
double d_lat = lat_next_rad - lat_now_rad;
double d_lon = lon_next_rad - lon_now_rad;
/* conscious mix of double and float trig function to maximize speed and efficiency */
*v_n = CONSTANTS_RADIUS_OF_EARTH * d_lat;
*v_e = CONSTANTS_RADIUS_OF_EARTH * d_lon * cos(lat_now_rad);
}
void add_vector_to_global_position(double lat_now, double lon_now, float v_n, float v_e, double *lat_res,
double *lon_res)
{
double lat_now_rad = lat_now * M_DEG_TO_RAD;
double lon_now_rad = lon_now * M_DEG_TO_RAD;
*lat_res = (lat_now_rad + (double)v_n / CONSTANTS_RADIUS_OF_EARTH) * M_RAD_TO_DEG;
*lon_res = (lon_now_rad + (double)v_e / (CONSTANTS_RADIUS_OF_EARTH * cos(lat_now_rad))) * M_RAD_TO_DEG;
}
// Additional functions - @author Doug Weibel <douglas.weibel@colorado.edu>
int get_distance_to_line(struct crosstrack_error_s *crosstrack_error, double lat_now, double lon_now,
double lat_start, double lon_start, double lat_end, double lon_end)
{
// This function returns the distance to the nearest point on the track line. Distance is positive if current
// position is right of the track and negative if left of the track as seen from a point on the track line
// headed towards the end point.
float dist_to_end;
float bearing_end;
float bearing_track;
float bearing_diff;
int return_value = ERROR; // Set error flag, cleared when valid result calculated.
crosstrack_error->past_end = false;
crosstrack_error->distance = 0.0f;
crosstrack_error->bearing = 0.0f;
dist_to_end = get_distance_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
// Return error if arguments are bad
if (dist_to_end < 0.1f) {
return ERROR;
}
bearing_end = get_bearing_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
bearing_track = get_bearing_to_next_waypoint(lat_start, lon_start, lat_end, lon_end);
bearing_diff = bearing_track - bearing_end;
bearing_diff = _wrap_pi(bearing_diff);
// Return past_end = true if past end point of line
if (bearing_diff > M_PI_2_F || bearing_diff < -M_PI_2_F) {
crosstrack_error->past_end = true;
return_value = OK;
return return_value;
}
crosstrack_error->distance = (dist_to_end) * sinf(bearing_diff);
if (sin(bearing_diff) >= 0) {
crosstrack_error->bearing = _wrap_pi(bearing_track - M_PI_2_F);
} else {
crosstrack_error->bearing = _wrap_pi(bearing_track + M_PI_2_F);
}
return_value = OK;
return return_value;
}
int get_distance_to_arc(struct crosstrack_error_s *crosstrack_error, double lat_now, double lon_now,
double lat_center, double lon_center,
float radius, float arc_start_bearing, float arc_sweep)
{
// This function returns the distance to the nearest point on the track arc. Distance is positive if current
// position is right of the arc and negative if left of the arc as seen from the closest point on the arc and
// headed towards the end point.
// Determine if the current position is inside or outside the sector between the line from the center
// to the arc start and the line from the center to the arc end
float bearing_sector_start;
float bearing_sector_end;
float bearing_now = get_bearing_to_next_waypoint(lat_now, lon_now, lat_center, lon_center);
bool in_sector;
int return_value = ERROR; // Set error flag, cleared when valid result calculated.
crosstrack_error->past_end = false;
crosstrack_error->distance = 0.0f;
crosstrack_error->bearing = 0.0f;
// Return error if arguments are bad
if (radius < 0.1f) { return return_value; }
if (arc_sweep >= 0.0f) {
bearing_sector_start = arc_start_bearing;
bearing_sector_end = arc_start_bearing + arc_sweep;
if (bearing_sector_end > 2.0f * M_PI_F) { bearing_sector_end -= M_TWOPI_F; }
} else {
bearing_sector_end = arc_start_bearing;
bearing_sector_start = arc_start_bearing - arc_sweep;
if (bearing_sector_start < 0.0f) { bearing_sector_start += M_TWOPI_F; }
}
in_sector = false;
// Case where sector does not span zero
if (bearing_sector_end >= bearing_sector_start && bearing_now >= bearing_sector_start
&& bearing_now <= bearing_sector_end) { in_sector = true; }
// Case where sector does span zero
if (bearing_sector_end < bearing_sector_start && (bearing_now > bearing_sector_start
|| bearing_now < bearing_sector_end)) { in_sector = true; }
// If in the sector then calculate distance and bearing to closest point
if (in_sector) {
crosstrack_error->past_end = false;
float dist_to_center = get_distance_to_next_waypoint(lat_now, lon_now, lat_center, lon_center);
if (dist_to_center <= radius) {
crosstrack_error->distance = radius - dist_to_center;
crosstrack_error->bearing = bearing_now + M_PI_F;
} else {
crosstrack_error->distance = dist_to_center - radius;
crosstrack_error->bearing = bearing_now;
}
// If out of the sector then calculate dist and bearing to start or end point
} else {
// Use the approximation that 111,111 meters in the y direction is 1 degree (of latitude)
// and 111,111 * cos(latitude) meters in the x direction is 1 degree (of longitude) to
// calculate the position of the start and end points. We should not be doing this often
// as this function generally will not be called repeatedly when we are out of the sector.
double start_disp_x = (double)radius * sin(arc_start_bearing);
double start_disp_y = (double)radius * cos(arc_start_bearing);
double end_disp_x = (double)radius * sin(_wrap_pi((double)(arc_start_bearing + arc_sweep)));
double end_disp_y = (double)radius * cos(_wrap_pi((double)(arc_start_bearing + arc_sweep)));
double lon_start = lon_now + start_disp_x / 111111.0;
double lat_start = lat_now + start_disp_y * cos(lat_now) / 111111.0;
double lon_end = lon_now + end_disp_x / 111111.0;
double lat_end = lat_now + end_disp_y * cos(lat_now) / 111111.0;
double dist_to_start = get_distance_to_next_waypoint(lat_now, lon_now, lat_start, lon_start);
double dist_to_end = get_distance_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
if (dist_to_start < dist_to_end) {
crosstrack_error->distance = dist_to_start;
crosstrack_error->bearing = get_bearing_to_next_waypoint(lat_now, lon_now, lat_start, lon_start);
} else {
crosstrack_error->past_end = true;
crosstrack_error->distance = dist_to_end;
crosstrack_error->bearing = get_bearing_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
}
}
crosstrack_error->bearing = _wrap_pi((double)crosstrack_error->bearing);
return_value = OK;
return return_value;
}
float get_distance_to_point_global_wgs84(double lat_now, double lon_now, float alt_now,
double lat_next, double lon_next, float alt_next,
float *dist_xy, float *dist_z)
{
double current_x_rad = lat_next / 180.0 * M_PI;
double current_y_rad = lon_next / 180.0 * M_PI;
double x_rad = lat_now / 180.0 * M_PI;
double y_rad = lon_now / 180.0 * M_PI;
double d_lat = x_rad - current_x_rad;
double d_lon = y_rad - current_y_rad;
double a = sin(d_lat / 2.0) * sin(d_lat / 2.0) + sin(d_lon / 2.0) * sin(d_lon / 2.0) * cos(current_x_rad) * cos(x_rad);
double c = 2 * atan2(sqrt(a), sqrt(1 - a));
float dxy = CONSTANTS_RADIUS_OF_EARTH * c;
float dz = alt_now - alt_next;
*dist_xy = fabsf(dxy);
*dist_z = fabsf(dz);
return sqrtf(dxy * dxy + dz * dz);
}
float mavlink_wpm_distance_to_point_local(float x_now, float y_now, float z_now,
float x_next, float y_next, float z_next,
float *dist_xy, float *dist_z)
{
float dx = x_now - x_next;
float dy = y_now - y_next;
float dz = z_now - z_next;
*dist_xy = sqrtf(dx * dx + dy * dy);
*dist_z = fabsf(dz);
return sqrtf(dx * dx + dy * dy + dz * dz);
}
float _wrap_pi(float bearing)
{
/* value is inf or NaN */
if (!ISFINITE(bearing)) {
return bearing;
}
int c = 0;
while (bearing >= M_PI_F) {
bearing -= M_TWOPI_F;
if (c++ > 3) {
return NAN;
}
}
c = 0;
while (bearing < -M_PI_F) {
bearing += M_TWOPI_F;
if (c++ > 3) {
return NAN;
}
}
return bearing;
}
float _wrap_2pi(float bearing)
{
/* value is inf or NaN */
if (!ISFINITE(bearing)) {
return bearing;
}
int c = 0;
while (bearing >= M_TWOPI_F) {
bearing -= M_TWOPI_F;
if (c++ > 3) {
return NAN;
}
}
c = 0;
while (bearing < 0.0f) {
bearing += M_TWOPI_F;
if (c++ > 3) {
return NAN;
}
}
return bearing;
}
float _wrap_180(float bearing)
{
/* value is inf or NaN */
if (!ISFINITE(bearing)) {
return bearing;
}
int c = 0;
while (bearing >= 180.0f) {
bearing -= 360.0f;
if (c++ > 3) {
return NAN;
}
}
c = 0;
while (bearing < -180.0f) {
bearing += 360.0f;
if (c++ > 3) {
return NAN;
}
}
return bearing;
}
float _wrap_360(float bearing)
{
/* value is inf or NaN */
if (!ISFINITE(bearing)) {
return bearing;
}
int c = 0;
while (bearing >= 360.0f) {
bearing -= 360.0f;
if (c++ > 3) {
return NAN;
}
}
c = 0;
while (bearing < 0.0f) {
bearing += 360.0f;
if (c++ > 3) {
return NAN;
}
}
return bearing;
}
#endif //POSIX_SHARED
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