1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268
|
/** @file geoencode.cc
* @brief Encodings for geospatial coordinates.
*/
/* Copyright (C) 2011 Richard Boulton
* Based closely on a python version, copyright (C) 2010 Olly Betts
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to
* deal in the Software without restriction, including without limitation the
* rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
* sell copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
* IN THE SOFTWARE.
*/
#include <config.h>
#include "geoencode.h"
#include <cmath>
using namespace std;
/** Angles, split into degrees, minutes and seconds.
*
* Only designed to work with positive angles.
*/
struct DegreesMinutesSeconds {
/** Number of degrees.
*
* Range 0 <= degrees <= 180 for latitude, 0 <= degrees < 360 for
* longitude.
*/
int degrees;
/** Number of minutes: 0 to 59 */
int minutes;
/** Number of seconds: 0 to 59 */
int seconds;
/** Number of 16ths of a second: 0 to 15 */
int sec16ths;
/** Initialise with a (positive) angle, as an integer representing the
* number of 16ths of a second, rounding to nearest.
*
* The range of valid angles is assumed to be 0 <= angle in degrees < 360,
* so range of angle_16th_secs is 0..20735999, which fits easily into a 32
* bit int. (Latitudes are represented in the range 0 <= angle <= 180,
* where 0 is the south pole.)
*/
explicit DegreesMinutesSeconds(int angle_16th_secs) {
degrees = angle_16th_secs / (3600 * 16);
angle_16th_secs = angle_16th_secs % (3600 * 16);
minutes = angle_16th_secs / (60 * 16);
angle_16th_secs = angle_16th_secs % (60 * 16);
seconds = angle_16th_secs / 16;
sec16ths = angle_16th_secs % 16;
}
};
bool
GeoEncode::encode(double lat, double lon, string & result)
{
// Check range of latitude.
if (rare(lat < -90.0 || lat > 90.0)) {
return false;
}
// Wrap longitude to range [0,360).
lon = fmod(lon, 360.0);
if (lon < 0) {
lon += 360;
}
int lat_16ths, lon_16ths;
lat_16ths = lround((lat + 90.0) * 57600.0);
if (lat_16ths == 0 || lat_16ths == 57600 * 180) {
lon_16ths = 0;
} else {
lon_16ths = lround(lon * 57600.0);
if (lon_16ths == 57600 * 360) {
lon_16ths = 0;
}
}
DegreesMinutesSeconds lat_dms(lat_16ths);
DegreesMinutesSeconds lon_dms(lon_16ths);
size_t old_len = result.size();
result.resize(old_len + 6);
// Add degrees parts as first two bytes.
unsigned dd = lat_dms.degrees + lon_dms.degrees * 181;
// dd is in range 0..180*360+359 = 0..65159
result[old_len] = char(dd >> 8);
result[old_len + 1] = char(dd & 0xff);
// Add minutes next; 4 bits from each in the first byte.
result[old_len + 2] = char(((lat_dms.minutes / 4) << 4) |
(lon_dms.minutes / 4)
);
result[old_len + 3] = char(
((lat_dms.minutes % 4) << 6) |
((lon_dms.minutes % 4) << 4) |
((lat_dms.seconds / 15) << 2) |
(lon_dms.seconds / 15)
);
result[old_len + 4] = char(
((lat_dms.seconds % 15) << 4) |
(lon_dms.seconds % 15)
);
result[old_len + 5] = char(
(lat_dms.sec16ths << 4) |
lon_dms.sec16ths
);
return true;
}
void
GeoEncode::decode(const char * value, size_t len,
double & lat_ref, double & lon_ref)
{
const unsigned char * ptr
= reinterpret_cast<const unsigned char *>(value);
unsigned tmp = (ptr[0] & 0xff) << 8 | (ptr[1] & 0xff);
lat_ref = tmp % 181;
lon_ref = tmp / 181;
if (len > 2) {
tmp = ptr[2];
double lat_m = (tmp >> 4) * 4;
double lon_m = (tmp & 0xf) * 4;
if (len > 3) {
tmp = ptr[3];
lat_m += (tmp >> 6) & 3;
lon_m += (tmp >> 4) & 3;
double lat_s = ((tmp >> 2) & 3) * 15;
double lon_s = (tmp & 3) * 15;
if (len > 4) {
tmp = ptr[4];
lat_s += (tmp >> 4) & 0xf;
lon_s += tmp & 0xf;
if (len > 5) {
tmp = ptr[5];
lat_s += ((tmp >> 4) / 16.0);
lon_s += ((tmp & 0xf) / 16.0);
}
}
lat_m += lat_s / 60.0;
lon_m += lon_s / 60.0;
}
lat_ref += lat_m / 60.0;
lon_ref += lon_m / 60.0;
}
lat_ref -= 90.0;
}
/// Calc latitude and longitude in integral number of 16ths of a second
static void
calc_latlon_16ths(double lat, double lon, int & lat_16ths, int & lon_16ths)
{
lat_16ths = lround((lat + 90.0) * 57600.0);
lon_16ths = lround(lon * 57600.0);
if (lon_16ths == 57600 * 360) {
lon_16ths = 0;
}
}
GeoEncode::DecoderWithBoundingBox::DecoderWithBoundingBox
(double lat1, double lon1_, double lat2, double lon2_)
: lon1(lon1_), lon2(lon2_),
min_lat(lat1), max_lat(lat2),
include_poles(false)
{
// Wrap longitudes to range [0,360).
lon1 = fmod(lon1, 360.0);
if (lon1 < 0) {
lon1 += 360;
}
lon2 = fmod(lon2, 360.0);
if (lon2 < 0) {
lon2 += 360;
}
// Calculate start1
int lat_16ths, lon_16ths;
calc_latlon_16ths(lat1, lon1, lat_16ths, lon_16ths);
if (lat_16ths == 0 || lat_16ths == 57600 * 180) {
include_poles = true;
}
unsigned dd = lat_16ths / (3600 * 16) + (lon_16ths / (3600 * 16)) * 181;
start1 = char(dd >> 8);
calc_latlon_16ths(lat2, lon2, lat_16ths, lon_16ths);
if (lat_16ths == 0 || lat_16ths == 57600 * 180) {
include_poles = true;
}
dd = lat_16ths / (3600 * 16) + (lon_16ths / (3600 * 16)) * 181;
start2 = char(dd >> 8);
discontinuous_longitude_range = (lon1 > lon2);
}
bool
GeoEncode::DecoderWithBoundingBox::decode(const std::string & value,
double & lat_ref,
double & lon_ref) const
{
unsigned char start = value[0];
if (discontinuous_longitude_range) {
// start must be outside range of (start2..start1)
// (start2 will be > start1)
if (start2 < start && start < start1) {
if (!(include_poles && start == 0))
return false;
}
} else {
// start must be inside range of [start1..start2] (inclusive of ends).
if (start < start1 || start2 < start) {
if (!(include_poles && start == 0))
return false;
}
}
double lat, lon;
GeoEncode::decode(value, lat, lon);
if (lat < min_lat || lat > max_lat) {
return false;
}
if (lat == -90 || lat == 90) {
// It's a pole, so the longitude isn't meaningful (will be zero)
// and we've already checked that the latitude is in range.
lat_ref = lat;
lon_ref = 0;
return true;
}
if (discontinuous_longitude_range) {
if (lon2 < lon && lon < lon1)
return false;
} else {
if (lon < lon1 || lon2 < lon)
return false;
}
lat_ref = lat;
lon_ref = lon;
return true;
}
|