-
Notifications
You must be signed in to change notification settings - Fork 52
/
Copy pathdistance.cpp
407 lines (346 loc) · 10.7 KB
/
distance.cpp
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
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
/* Robert Hijmans, June 2011, July 2016
*/
#include <Rcpp.h>
using namespace Rcpp;
using namespace std;
#include <vector>
#include "geodesic.h"
#include <math.h>
#include "util.h"
double distance_lonlat(double lon1, double lat1, double lon2, double lat2, double a, double f) {
double s12, azi1, azi2;
struct geod_geodesic g;
geod_init(&g, a, f);
geod_inverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2);
return s12;
}
std::vector<double> distance_lonlat(std::vector<double> lon1, std::vector<double> lat1, std::vector<double> lon2, std::vector<double> lat2, double a, double f) {
// lonlat1 and lonlat2 should have the same length
std::vector<double> r (lon1.size());
double azi1, azi2;
struct geod_geodesic g;
geod_init(&g, a, f);
int n = lat1.size();
for (int i=0; i < n; i++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[i], lon2[i], &r[i], &azi1, &azi2);
}
return r;
}
std::vector<double> distanceToNearest_lonlat(std::vector<double> lon1, std::vector<double> lat1, std::vector<double> lon2, std::vector<double> lat2, double a, double f) {
double azi1, azi2, s12;
int n = lon1.size();
int m = lon2.size();
std::vector<double> r(n);
struct geod_geodesic g;
geod_init(&g, a, f);
for (int i=0; i < n; i++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[0], lon2[0], &r[i], &azi1, &azi2);
for (int j=1; j<m; j++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[j], lon2[j], &s12, &azi1, &azi2);
if (s12 < r[i]) {
r[i] = s12;
}
}
}
return r;
}
double distance_plane(double x1, double y1, double x2, double y2) {
return( sqrt(pow((x2-x1),2) + pow((y2-y1), 2)) );
}
std::vector<double> distance_plane(std::vector<double> x1, std::vector<double> y1, std::vector<double> x2, std::vector<double> y2) {
// xy1 and xy2 should have the same length
std::vector<double> r (x1.size());
int n = x1.size();
for (int i=0; i < n; i++) {
r[i] = sqrt(pow((x2[i]-x1[i]),2) + pow((y2[i]-y1[i]), 2));
}
return r;
}
std::vector<double> distanceToNearest_plane(std::vector<double> x1, std::vector<double> y1, std::vector<double> x2, std::vector<double> y2) {
int n = x1.size();
int m = x2.size();
std::vector<double> r(n);
double d;
for (int i=0; i < n; i++) {
r[i] = sqrt(pow((x2[0]-x1[i]),2) + pow((y2[0]-y1[i]), 2));
for (int j=1; j < m; j++) {
d = sqrt(pow((x2[j]-x1[i]),2) + pow((y2[j]-y1[i]), 2));
if (d < r[i]) {
r[i] = d;
}
}
}
return r;
}
double direction_lonlat(double lon1, double lat1, double lon2, double lat2, bool degrees, double a, double f) {
double s12, azi1, azi2;
struct geod_geodesic g;
geod_init(&g, a, f);
geod_inverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2);
if (!degrees) {
return(toRad(azi1));
}
return( azi1) ;
}
std::vector<double> direction_lonlat(std::vector<double> lon1, std::vector<double> lat1, std::vector<double> lon2, std::vector<double> lat2, bool degrees, double a, double f) {
// lonlat1 and lonlat2 should have the same length
std::vector<double> azi1(lon1.size());
double s12, azi2;
struct geod_geodesic g;
geod_init(&g, a, f);
int n = lat1.size();
if (degrees) {
for (int i=0; i < n; i++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[i], lon2[i], &s12, &azi1[i], &azi2);
}
} else {
for (int i=0; i < n; i++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[i], lon2[i], &s12, &azi1[i], &azi2);
azi1[i] = toRad(azi1[i]);
}
}
return azi1;
}
std::vector<double> directionToNearest_lonlat(std::vector<double> lon1, std::vector<double> lat1, std::vector<double> lon2, std::vector<double> lat2, bool degrees, bool from, double a, double f) {
double azi1, azi2, s12, dist;
int n = lon1.size();
int m = lon2.size();
std::vector<double> azi(n);
struct geod_geodesic g;
geod_init(&g, a, f);
if (from) {
for (int i=0; i < n; i++) {
geod_inverse(&g, lat2[0], lon2[0], lat1[i], lon1[i], &dist, &azi1, &azi2);
azi[i] = azi1;
for (int j=1; j<m; j++) {
geod_inverse(&g, lat2[j], lon2[j], lat1[i], lon1[i], &s12, &azi1, &azi2);
if (s12 < dist) {
azi[i] = azi1;
}
}
if (!degrees) {
azi[i] = toRad(azi[i]);
}
}
} else {
for (int i=0; i < n; i++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[0], lon2[0], &dist, &azi1, &azi2);
azi[i] = azi1;
for (int j=1; j<m; j++) {
geod_inverse(&g, lat1[i], lon1[i], lat2[j], lon2[j], &s12, &azi1, &azi2);
if (s12 < dist) {
azi[i] = azi1;
}
}
if (!degrees) {
azi[i] = toRad(azi[i]);
}
}
}
return azi;
}
double direction_plane(double x1, double y1, double x2, double y2, bool degrees) {
double a;
a = fmod(atan2( x2 - x1, y2 - y1), M_2PI);
a = (a < 0 ? a + M_2PI : a );
return (degrees ? toDeg(a) : a);
}
std::vector<double> direction_plane(std::vector<double> x1, std::vector<double> y1, std::vector<double> x2, std::vector<double> y2, bool degrees) {
// xy1 and xy2 should have the same length
std::vector<double> r (x1.size());
//double a;
int n = x1.size();
for (int i=0; i < n; i++) {
r[i] = direction_plane(x1[i], y1[i], x2[i], y2[i], degrees);
}
return r;
}
std::vector<double> directionToNearest_plane(std::vector<double> x1, std::vector<double> y1, std::vector<double> x2, std::vector<double> y2, bool degrees, bool from) {
int n = x1.size();
int m = x2.size();
std::vector<double> r(n);
double d, mind;
int minj;
if (from) {
for (int i = 0; i < n; i++) {
mind = distance_plane(x1[i], y1[i], x2[0], y2[0]);
minj = 0;
for (int j = 1; j < m; j++) {
d = distance_plane(x1[i], y1[i], x2[j], y2[j]);
if (d < mind) {
mind = d;
minj = j;
}
}
r[i] = direction_plane(x2[minj], y2[minj], x1[i], y1[i], degrees);
}
} else {
for (int i = 0; i < n; i++) {
mind = distance_plane(x1[i], y1[i], x2[0], y2[0]);
minj = 0;
for (int j = 1; j < m; j++) {
d = distance_plane(x1[i], y1[i], x2[j], y2[j]);
if (d < mind) {
mind = d;
minj = j;
}
}
r[i] = direction_plane(x1[i], y1[i], x2[minj], y2[minj], degrees);
}
}
return r;
}
std::vector<double> destpoint_lonlat(double longitude, double latitude, double bearing, double distance, double a, double f) {
struct geod_geodesic g;
geod_init(&g, a, f);
double lat2, lon2, azi2;
geod_direct(&g, latitude, longitude, bearing, distance, &lat2, &lon2, &azi2);
std::vector<double> out = {lon2, lat2, azi2 };
return out;
}
std::vector<std::vector<double> > destpoint_lonlat(std::vector<double> longitude, std::vector<double> latitude, std::vector<double> bearing, std::vector<double> distance, double a, double f) {
struct geod_geodesic g;
geod_init(&g, a, f);
int n = longitude.size();
std::vector<std::vector<double> > out;
double lat2, lon2, azi2;
for (int i=0; i < n; i++) {
geod_direct(&g, latitude[i], longitude[i], bearing[i], distance[i], &lat2, &lon2, &azi2);
out.push_back( {lon2, lat2, azi2 });
}
return out;
}
std::vector<double> destpoint_plane(double x, double y, double bearing, double distance) {
bearing = bearing * M_PI / 180;
x += distance * cos(bearing);
y += distance * sin(bearing);
std::vector<double> out = {x, y};
return(out);
}
std::vector<std::vector<double> > destpoint_plane(std::vector<double> x, std::vector<double> y, std::vector<double> bearing, std::vector<double> distance) {
int n = x.size();
std::vector<std::vector<double> > out(n, std::vector<double>(3));
double xd, yd, b;
for (int i=0; i < n; i++) {
b = bearing[i] * M_PI / 180;
xd = x[i] + distance[i] * cos(b);
yd = y[i] + distance[i] * sin(b);
out.push_back( {xd, yd });
}
return(out);
}
double area_polygon_lonlat(std::vector<double> lon, std::vector<double> lat, double a, double f) {
struct geod_geodesic g;
struct geod_polygon p;
geod_init(&g, a, f);
geod_polygon_init(&p, 0);
int n = lat.size();
for (int i=0; i < n; i++) {
geod_polygon_addpoint(&g, &p, lat[i], lon[i]);
}
double area, P;
geod_polygon_compute(&g, &p, 0, 1, &area, &P);
return(area < 0 ? -area : area);
}
std::vector<double> area_polygon_lonlat(std::vector<double> lon, std::vector<double> lat, std::vector<int> pols, std::vector<int> parts, std::vector<int> holes, double a, double f) {
std::vector<double> out;
struct geod_geodesic g;
struct geod_polygon p;
geod_init(&g, a, f);
geod_polygon_init(&p, 0);
double area, P, pa, tota;
int pol = 1;
int part = 1;
int n = lon.size();
tota = 0;
for (int i=0; i < n; i++) {
if (parts[i] != part || pols[i] != pol) {
geod_polygon_compute(&g, &p, 0, 1, &area, &P);
pa = fabs(area);
tota += (holes[i-1] > 0 ? -pa : pa); // hole
part = parts[i];
if (pols[i] != pol) {
out.push_back(tota);
tota = 0;
pol = pols[i];
}
geod_polygon_init(&p, 0);
}
geod_polygon_addpoint(&g, &p, lat[i], lon[i]);
}
geod_polygon_compute(&g, &p, 0, 1, &area, &P);
pa = fabs(area);
tota += (holes[n-1] > 0 ? -pa : pa); // hole
out.push_back(tota);
return(out);
}
double area_polygon_plane(std::vector<double> x, std::vector<double> y) {
// based on http://paulbourke.net/geometry/polygonmesh/source1.c
int n = x.size();
double area = x[n-1] * y[0];
area -= y[n-1] * x[0];
for (int i=0; i < (n-1); i++) {
area += x[i] * y[i+1];
area -= x[i+1] * y[i];
}
area /= 2;
return(area < 0 ? -area : area);
}
/*
std::vector<double> area_polygon_plane(std::vector<double> x, std::vector<double> y, std::vector<int> pols, std::vector<int> parts, std::vector<int> holes) {
std::vector<double> out;
std::vector<double> px;
std::vector<double> py;
int pol = 1;
int part = 1;
int n = x.size();
double tota = 0;
double pa;
for (int i=0; i < n; i++) {
if (parts[i] != part || pols[i] != pol) {
pa = area_polygon_plane(px, py);
tota += (holes[i-1] > 0 ? -pa : pa);
part = parts[i];
if (pols[i] != pol) {
out.push_back(tota);
tota = 0;
pol = pols[i];
}
px.resize(0);
py.resize(0);
}
px.push_back(x[i]);
py.push_back(y[i]);
}
pa = area_polygon_plane(px, py);
tota += (holes[n-1] > 0 ? -pa : pa);
out.push_back(tota);
return(out);
}
*/
std::vector<double> area_polygon_plane(std::vector<double> x, std::vector<double> y, std::vector<int> pols, std::vector<int> parts, std::vector<int> holes) {
std::vector<double> out;
int pol = 1;
int part = 1;
int n = x.size();
double tota = 0;
double pa;
int ps = 0;
for (int i=0; i < n; i++) {
if (parts[i] != part || pols[i] != pol) {
pa = area_polygon_plane(std::vector<double> (x.begin() + ps, x.begin() + i - 1), std::vector<double> (y.begin() + ps, y.begin() + i - 1));
tota += (holes[i-1] > 0 ? -pa : pa);
part = parts[i];
ps = i;
if (pols[i] != pol) {
out.push_back(tota);
tota = 0;
pol = pols[i];
}
}
}
pa = area_polygon_plane(std::vector<double> (x.begin() + ps, x.end()), std::vector<double> (y.begin() + ps, y.end()));
tota += (holes[n-1] > 0 ? -pa : pa);
out.push_back(tota);
return(out);
}