1
|
|
|
<?php |
2
|
|
|
|
3
|
|
|
declare(strict_types=1); |
4
|
|
|
|
5
|
|
|
namespace PHPCoord; |
6
|
|
|
|
7
|
|
|
/** |
8
|
|
|
* Latitude/Longitude reference. |
9
|
|
|
* |
10
|
|
|
* @author Jonathan Stott |
11
|
|
|
* @author Doug Wright |
12
|
|
|
*/ |
13
|
|
|
class LatLng |
14
|
|
|
{ |
15
|
|
|
/** |
16
|
|
|
* Latitude. |
17
|
|
|
* |
18
|
|
|
* @var float |
19
|
|
|
*/ |
20
|
|
|
protected $lat; |
21
|
|
|
|
22
|
|
|
/** |
23
|
|
|
* Longitude. |
24
|
|
|
* |
25
|
|
|
* @var float |
26
|
|
|
*/ |
27
|
|
|
protected $lng; |
28
|
|
|
|
29
|
|
|
/** |
30
|
|
|
* Height. |
31
|
|
|
* |
32
|
|
|
* @var float |
33
|
|
|
*/ |
34
|
|
|
protected $h; |
35
|
|
|
|
36
|
|
|
/** |
37
|
|
|
* Reference ellipsoid the co-ordinates are from. |
38
|
|
|
* |
39
|
|
|
* @var RefEll |
40
|
|
|
*/ |
41
|
|
|
protected $refEll; |
42
|
|
|
|
43
|
|
|
/** |
44
|
|
|
* Create a new LatLng object from the given latitude and longitude. |
45
|
|
|
* |
46
|
|
|
* @param float $lat |
47
|
|
|
* @param float $lng |
48
|
|
|
* @param int $height |
49
|
|
|
* @param RefEll $refEll |
50
|
|
|
*/ |
51
|
36 |
|
public function __construct(float $lat, float $lng, int $height, RefEll $refEll) |
52
|
|
|
{ |
53
|
36 |
|
$this->lat = $lat; |
54
|
36 |
|
$this->lng = $lng; |
55
|
36 |
|
$this->h = $height; |
56
|
36 |
|
$this->refEll = $refEll; |
57
|
36 |
|
} |
58
|
|
|
|
59
|
|
|
/** |
60
|
|
|
* Return a string representation of this LatLng object. |
61
|
|
|
* |
62
|
|
|
* @return string |
63
|
|
|
*/ |
64
|
13 |
|
public function __toString(): string |
65
|
|
|
{ |
66
|
13 |
|
return "({$this->getLat()}, {$this->getLng()})"; |
67
|
|
|
} |
68
|
|
|
|
69
|
|
|
/** |
70
|
|
|
* @return float |
71
|
|
|
*/ |
72
|
29 |
|
public function getLat(): float |
73
|
|
|
{ |
74
|
29 |
|
return round($this->lat, 5); |
75
|
|
|
} |
76
|
|
|
|
77
|
|
|
/** |
78
|
|
|
* @return float |
79
|
|
|
*/ |
80
|
29 |
|
public function getLng(): float |
81
|
|
|
{ |
82
|
29 |
|
return round($this->lng, 5); |
83
|
|
|
} |
84
|
|
|
|
85
|
|
|
/** |
86
|
|
|
* @return int |
87
|
|
|
*/ |
88
|
15 |
|
public function getH(): int |
89
|
|
|
{ |
90
|
15 |
|
return $this->h; |
91
|
|
|
} |
92
|
|
|
|
93
|
|
|
/** |
94
|
|
|
* @return RefEll |
95
|
|
|
*/ |
96
|
9 |
|
public function getRefEll(): RefEll |
97
|
|
|
{ |
98
|
9 |
|
return $this->refEll; |
99
|
|
|
} |
100
|
|
|
|
101
|
|
|
/** |
102
|
|
|
* Calculate the surface distance between this LatLng object and the one |
103
|
|
|
* passed in as a parameter. |
104
|
|
|
* |
105
|
|
|
* @param LatLng $to a LatLng object to measure the surface distance to |
106
|
|
|
* |
107
|
|
|
* @return int distance in metres |
108
|
|
|
*/ |
109
|
2 |
|
public function distance(self $to): int |
110
|
|
|
{ |
111
|
2 |
|
if ($this->refEll != $to->refEll) { |
112
|
1 |
|
throw new \RuntimeException('Source and destination co-ordinates are not using the same ellipsoid'); |
113
|
|
|
} |
114
|
|
|
|
115
|
|
|
//Mean radius definition taken from Wikipedia |
116
|
1 |
|
$er = ((2 * $this->refEll->getMaj()) + $this->refEll->getMin()) / 3; |
117
|
|
|
|
118
|
1 |
|
$latFrom = deg2rad($this->lat); |
119
|
1 |
|
$latTo = deg2rad($to->lat); |
120
|
1 |
|
$lngFrom = deg2rad($this->lng); |
121
|
1 |
|
$lngTo = deg2rad($to->lng); |
122
|
|
|
|
123
|
1 |
|
$d = acos(sin($latFrom) * sin($latTo) + cos($latFrom) * cos($latTo) * cos($lngTo - $lngFrom)) * $er; |
124
|
|
|
|
125
|
1 |
|
return (int) round($d); |
126
|
|
|
} |
127
|
|
|
|
128
|
|
|
/** |
129
|
|
|
* Convert this LatLng object to OSGB36 datum. |
130
|
|
|
* Reference values for transformation are taken from OS document |
131
|
|
|
* "A Guide to Coordinate Systems in Great Britain". |
132
|
|
|
* |
133
|
|
|
* @return self |
134
|
|
|
*/ |
135
|
4 |
|
public function toOSGB36(): self |
136
|
|
|
{ |
137
|
4 |
|
if ($this->refEll == RefEll::airy1830()) { |
138
|
2 |
|
return $this; |
139
|
|
|
} |
140
|
|
|
|
141
|
2 |
|
$asWGS84 = $this->toWGS84(); |
142
|
|
|
|
143
|
1 |
|
$tx = -446.448; |
144
|
1 |
|
$ty = 125.157; |
145
|
1 |
|
$tz = -542.060; |
146
|
1 |
|
$s = 0.0000204894; |
147
|
1 |
|
$rx = deg2rad(-0.1502 / 3600); |
148
|
1 |
|
$ry = deg2rad(-0.2470 / 3600); |
149
|
1 |
|
$rz = deg2rad(-0.8421 / 3600); |
150
|
|
|
|
151
|
1 |
|
return $asWGS84->transformDatum(RefEll::airy1830(), $tx, $ty, $tz, $s, $rx, $ry, $rz); |
152
|
|
|
} |
153
|
|
|
|
154
|
|
|
/** |
155
|
|
|
* Convert this LatLng object to ED50 datum. |
156
|
|
|
* Reference values for transformation are taken from http://www.globalmapper.com/helpv9/datum_list.htm . |
157
|
|
|
* |
158
|
|
|
* @return self |
159
|
|
|
*/ |
160
|
1 |
|
public function toED50(): self |
161
|
|
|
{ |
162
|
1 |
|
if ($this->refEll == RefEll::international1924()) { |
163
|
|
|
return $this; |
164
|
|
|
} |
165
|
|
|
|
166
|
1 |
|
$asWGS84 = $this->toWGS84(); |
167
|
|
|
|
168
|
1 |
|
$tx = 87; |
169
|
1 |
|
$ty = 98; |
170
|
1 |
|
$tz = 121; |
171
|
1 |
|
$s = 0; |
172
|
1 |
|
$rx = deg2rad(0); |
173
|
1 |
|
$ry = deg2rad(0); |
174
|
1 |
|
$rz = deg2rad(0); |
175
|
|
|
|
176
|
1 |
|
return $asWGS84->transformDatum(RefEll::international1924(), $tx, $ty, $tz, $s, $rx, $ry, $rz); |
177
|
|
|
} |
178
|
|
|
|
179
|
|
|
/** |
180
|
|
|
* Convert this LatLng object to NAD27 datum. |
181
|
|
|
* Reference values for transformation are taken from Wikipedia. |
182
|
|
|
* |
183
|
|
|
* @return self |
184
|
|
|
*/ |
185
|
1 |
|
public function toNAD27(): self |
186
|
|
|
{ |
187
|
1 |
|
if ($this->refEll == RefEll::clarke1866()) { |
188
|
|
|
return $this; |
189
|
|
|
} |
190
|
|
|
|
191
|
1 |
|
$asWGS84 = $this->toWGS84(); |
192
|
|
|
|
193
|
1 |
|
$tx = 8; |
194
|
1 |
|
$ty = -160; |
195
|
1 |
|
$tz = -176; |
196
|
1 |
|
$s = 0; |
197
|
1 |
|
$rx = deg2rad(0); |
198
|
1 |
|
$ry = deg2rad(0); |
199
|
1 |
|
$rz = deg2rad(0); |
200
|
|
|
|
201
|
1 |
|
return $asWGS84->transformDatum(RefEll::clarke1866(), $tx, $ty, $tz, $s, $rx, $ry, $rz); |
202
|
|
|
} |
203
|
|
|
|
204
|
|
|
/** |
205
|
|
|
* Convert this LatLng object to Ireland 1975 datum. |
206
|
|
|
* Reference values for transformation are taken from OSI document |
207
|
|
|
* "Making maps compatible with GPS". |
208
|
|
|
* |
209
|
|
|
* @return self |
210
|
|
|
*/ |
211
|
1 |
|
public function toIreland1975(): self |
212
|
|
|
{ |
213
|
1 |
|
if ($this->refEll == RefEll::airyModified()) { |
214
|
|
|
return $this; |
215
|
|
|
} |
216
|
|
|
|
217
|
1 |
|
$asWGS84 = $this->toWGS84(); |
218
|
|
|
|
219
|
1 |
|
$tx = -482.530; |
220
|
1 |
|
$ty = 130.596; |
221
|
1 |
|
$tz = -564.557; |
222
|
1 |
|
$s = -0.00000815; |
223
|
1 |
|
$rx = deg2rad(-1.042 / 3600); |
224
|
1 |
|
$ry = deg2rad(-0.214 / 3600); |
225
|
1 |
|
$rz = deg2rad(-0.631 / 3600); |
226
|
|
|
|
227
|
1 |
|
return $asWGS84->transformDatum(RefEll::airyModified(), $tx, $ty, $tz, $s, $rx, $ry, $rz); |
228
|
|
|
} |
229
|
|
|
|
230
|
|
|
/** |
231
|
|
|
* Convert this LatLng object to WGS84 datum. |
232
|
|
|
* |
233
|
|
|
* @return self |
234
|
|
|
*/ |
235
|
20 |
|
public function toWGS84(): self |
236
|
|
|
{ |
237
|
20 |
|
switch ($this->refEll) { |
238
|
20 |
|
case RefEll::wgs84(): |
239
|
13 |
|
return $this; //do nothing |
240
|
|
|
|
241
|
7 |
|
case RefEll::airy1830(): // values from OSGB document "A Guide to Coordinate Systems in Great Britain" |
242
|
2 |
|
$tx = 446.448; |
243
|
2 |
|
$ty = -125.157; |
244
|
2 |
|
$tz = 542.060; |
245
|
2 |
|
$s = -0.0000204894; |
246
|
2 |
|
$rx = deg2rad(0.1502 / 3600); |
247
|
2 |
|
$ry = deg2rad(0.2470 / 3600); |
248
|
2 |
|
$rz = deg2rad(0.8421 / 3600); |
249
|
2 |
|
break; |
250
|
|
|
|
251
|
5 |
|
case RefEll::airyModified(): // values from OSI document "Making maps compatible with GPS" |
252
|
1 |
|
$tx = 482.530; |
253
|
1 |
|
$ty = -130.596; |
254
|
1 |
|
$tz = 564.557; |
255
|
1 |
|
$s = 0.00000815; |
256
|
1 |
|
$rx = deg2rad(1.042 / 3600); |
257
|
1 |
|
$ry = deg2rad(0.214 / 3600); |
258
|
1 |
|
$rz = deg2rad(0.631 / 3600); |
259
|
1 |
|
break; |
260
|
|
|
|
261
|
4 |
|
case RefEll::clarke1866(): // assumes NAD27, values from Wikipedia |
262
|
1 |
|
$tx = -8; |
263
|
1 |
|
$ty = 160; |
264
|
1 |
|
$tz = 176; |
265
|
1 |
|
$s = 0; |
266
|
1 |
|
$rx = deg2rad(0); |
267
|
1 |
|
$ry = deg2rad(0); |
268
|
1 |
|
$rz = deg2rad(0); |
269
|
1 |
|
break; |
270
|
|
|
|
271
|
3 |
|
case RefEll::international1924(): // assumes ED50, values from http://www.globalmapper.com/helpv9/datum_list.htm |
272
|
1 |
|
$tx = -87; |
273
|
1 |
|
$ty = -98; |
274
|
1 |
|
$tz = -121; |
275
|
1 |
|
$s = 0; |
276
|
1 |
|
$rx = deg2rad(0); |
277
|
1 |
|
$ry = deg2rad(0); |
278
|
1 |
|
$rz = deg2rad(0); |
279
|
1 |
|
break; |
280
|
|
|
|
281
|
2 |
|
case RefEll::bessel1841(): // assumes Germany, values from Wikipedia |
282
|
|
|
$tx = 582; |
283
|
|
|
$ty = -105; |
284
|
|
|
$tz = -414; |
285
|
|
|
$s = 0.0000083; |
286
|
|
|
$rx = deg2rad(1.04 / 3600); |
287
|
|
|
$ry = deg2rad(0.35 / 3600); |
288
|
|
|
$rz = deg2rad(-3.08 / 3600); |
289
|
|
|
break; |
290
|
|
|
|
291
|
|
|
default: |
292
|
2 |
|
throw new \RuntimeException('Transform parameters not known for this ellipsoid'); |
293
|
|
|
} |
294
|
|
|
|
295
|
5 |
|
return $this->transformDatum(RefEll::wgs84(), $tx, $ty, $tz, $s, $rx, $ry, $rz); |
296
|
|
|
} |
297
|
|
|
|
298
|
|
|
/** |
299
|
|
|
* Transform co-ordinates from one datum to another using a Helmert transformation. |
300
|
|
|
* |
301
|
|
|
* @param RefEll $toRefEll |
302
|
|
|
* @param float $tranX |
303
|
|
|
* @param float $tranY |
304
|
|
|
* @param float $tranZ |
305
|
|
|
* @param float $scale |
306
|
|
|
* @param float $rotX rotation about x-axis in seconds |
307
|
|
|
* @param float $rotY rotation about y-axis in seconds |
308
|
|
|
* @param float $rotZ rotation about z-axis in seconds |
309
|
|
|
* |
310
|
|
|
* @return self |
311
|
|
|
*/ |
312
|
15 |
|
public function transformDatum(RefEll $toRefEll, float $tranX, float $tranY, float $tranZ, float $scale, float $rotX, float $rotY, float $rotZ): self |
313
|
|
|
{ |
314
|
15 |
|
if ($this->refEll == $toRefEll) { |
315
|
6 |
|
return $this; |
316
|
|
|
} |
317
|
|
|
|
318
|
9 |
|
$cartesian = Cartesian::fromLatLong($this); |
319
|
9 |
|
$newCartesian = $cartesian->transformDatum($toRefEll, $tranX, $tranY, $tranZ, $scale, $rotX, $rotY, $rotZ); |
320
|
|
|
|
321
|
9 |
|
return $newCartesian->toLatitudeLongitude(); |
322
|
|
|
} |
323
|
|
|
|
324
|
|
|
/** |
325
|
|
|
* Convert this LatLng object into an OSGB grid reference. Note that this |
326
|
|
|
* function does not take into account the bounds of the OSGB grid - |
327
|
|
|
* beyond the bounds of the OSGB grid, the resulting OSRef object has no |
328
|
|
|
* meaning. |
329
|
|
|
* |
330
|
|
|
* Reference values for transformation are taken from OS document |
331
|
|
|
* "A Guide to Coordinate Systems in Great Britain". |
332
|
|
|
* |
333
|
|
|
* @return OSRef |
334
|
|
|
*/ |
335
|
3 |
|
public function toOSRef(): OSRef |
336
|
|
|
{ |
337
|
3 |
|
$asOSGB36 = $this->toOSGB36(); |
338
|
|
|
|
339
|
2 |
|
$OSGB = new OSRef(0, 0); //dummy to get reference data |
340
|
2 |
|
$scale = $OSGB->getScaleFactor(); |
341
|
2 |
|
$N0 = $OSGB->getOriginNorthing(); |
342
|
2 |
|
$E0 = $OSGB->getOriginEasting(); |
343
|
2 |
|
$phi0 = $OSGB->getOriginLatitude(); |
344
|
2 |
|
$lambda0 = $OSGB->getOriginLongitude(); |
345
|
|
|
|
346
|
2 |
|
$coords = $asOSGB36->toTransverseMercatorEastingNorthing($scale, $E0, $N0, $phi0, $lambda0); |
347
|
|
|
|
348
|
2 |
|
return new OSRef($coords['E'], $coords['N'], $this->h); |
|
|
|
|
349
|
|
|
} |
350
|
|
|
|
351
|
|
|
/** |
352
|
|
|
* Convert this LatLng object into an ITM grid reference. |
353
|
|
|
* |
354
|
|
|
* @return ITMRef |
355
|
|
|
*/ |
356
|
1 |
|
public function toITMRef() |
357
|
|
|
{ |
358
|
1 |
|
$asWGS84 = $this->toWGS84(); |
359
|
|
|
|
360
|
1 |
|
$ITM = new ITMRef(0, 0); //dummy to get reference data |
361
|
1 |
|
$scale = $ITM->getScaleFactor(); |
362
|
1 |
|
$N0 = $ITM->getOriginNorthing(); |
363
|
1 |
|
$E0 = $ITM->getOriginEasting(); |
364
|
1 |
|
$phi0 = $ITM->getOriginLatitude(); |
365
|
1 |
|
$lambda0 = $ITM->getOriginLongitude(); |
366
|
|
|
|
367
|
1 |
|
$coords = $asWGS84->toTransverseMercatorEastingNorthing($scale, $E0, $N0, $phi0, $lambda0); |
368
|
|
|
|
369
|
1 |
|
return new ITMRef($coords['E'], $coords['N'], $this->h); |
|
|
|
|
370
|
|
|
} |
371
|
|
|
|
372
|
|
|
/** |
373
|
|
|
* Convert a WGS84 latitude and longitude to an UTM reference. |
374
|
|
|
* |
375
|
|
|
* Reference values for transformation are taken from OS document |
376
|
|
|
* "A Guide to Coordinate Systems in Great Britain". |
377
|
|
|
* |
378
|
|
|
* @return UTMRef |
379
|
|
|
*/ |
380
|
9 |
|
public function toUTMRef(): UTMRef |
381
|
|
|
{ |
382
|
9 |
|
$asWGS84 = $this->toWGS84(); |
383
|
9 |
|
$lat = $asWGS84->getLat(); |
384
|
9 |
|
$lng = $asWGS84->getLng(); |
385
|
|
|
|
386
|
9 |
|
$longitudeZone = (int) (($asWGS84->getLng() + 180) / 6) + 1; |
387
|
|
|
|
388
|
|
|
// Special zone for Norway |
389
|
9 |
|
if ($lat >= 56 && $lat < 64 && $lng >= 3 && $lng < 12) { |
390
|
1 |
|
$longitudeZone = 32; |
391
|
8 |
|
} elseif ($lat >= 72 && $lat < 84 && $lng >= 0 && $lng < 42) { // Special zones for Svalbard |
392
|
4 |
|
if ($lng < 9) { |
393
|
1 |
|
$longitudeZone = 31; |
394
|
3 |
|
} elseif ($lng < 21) { |
395
|
1 |
|
$longitudeZone = 33; |
396
|
2 |
|
} elseif ($lng < 33) { |
397
|
1 |
|
$longitudeZone = 35; |
398
|
|
|
} else { |
399
|
1 |
|
$longitudeZone = 37; |
400
|
|
|
} |
401
|
|
|
} |
402
|
|
|
|
403
|
9 |
|
$UTMZone = $this->getUTMLatitudeZoneLetter($asWGS84->getLat()); |
404
|
|
|
|
405
|
7 |
|
$UTM = new UTMRef(0, 0, 0, $UTMZone, $longitudeZone); //dummy to get reference data |
406
|
7 |
|
$scale = $UTM->getScaleFactor(); |
407
|
7 |
|
$N0 = $UTM->getOriginNorthing(); |
408
|
7 |
|
$E0 = $UTM->getOriginEasting(); |
409
|
7 |
|
$phi0 = $UTM->getOriginLatitude(); |
410
|
7 |
|
$lambda0 = $UTM->getOriginLongitude(); |
411
|
|
|
|
412
|
7 |
|
$coords = $asWGS84->toTransverseMercatorEastingNorthing($scale, $E0, $N0, $phi0, $lambda0); |
413
|
|
|
|
414
|
7 |
|
if ($asWGS84->getLat() < 0) { |
415
|
1 |
|
$coords['N'] += 10000000; |
416
|
|
|
} |
417
|
|
|
|
418
|
7 |
|
return new UTMRef($coords['E'], $coords['N'], $asWGS84->getH(), $UTMZone, $longitudeZone); |
419
|
|
|
} |
420
|
|
|
|
421
|
|
|
/** |
422
|
|
|
* Work out the UTM latitude zone from the latitude. |
423
|
|
|
* |
424
|
|
|
* @param float $latitude |
425
|
|
|
* |
426
|
|
|
* @return string |
427
|
|
|
*/ |
428
|
9 |
|
private function getUTMLatitudeZoneLetter(float $latitude): string |
429
|
|
|
{ |
430
|
9 |
|
if ($latitude < -80 || $latitude > 84) { |
431
|
2 |
|
throw new \OutOfRangeException('UTM zones do not apply in polar regions'); |
432
|
|
|
} |
433
|
|
|
|
434
|
7 |
|
$zones = 'CDEFGHJKLMNPQRSTUVWXX'; |
435
|
7 |
|
$zoneIndex = (int) (($latitude + 80) / 8); |
436
|
|
|
|
437
|
7 |
|
return $zones[$zoneIndex]; |
438
|
|
|
} |
439
|
|
|
|
440
|
|
|
/** |
441
|
|
|
* Convert a latitude and longitude to easting and northing using a Transverse Mercator projection |
442
|
|
|
* Formula for transformation is taken from OS document |
443
|
|
|
* "A Guide to Coordinate Systems in Great Britain". |
444
|
|
|
* |
445
|
|
|
* @param float $scale scale factor on central meridian |
446
|
|
|
* @param float $originEasting easting of true origin |
447
|
|
|
* @param float $originNorthing northing of true origin |
448
|
|
|
* @param float $originLat latitude of true origin |
449
|
|
|
* @param float $originLong longitude of true origin |
450
|
|
|
* |
451
|
|
|
* @return array |
452
|
|
|
*/ |
453
|
10 |
|
public function toTransverseMercatorEastingNorthing( |
454
|
|
|
float $scale, |
455
|
|
|
float $originEasting, |
456
|
|
|
float $originNorthing, |
457
|
|
|
float $originLat, |
458
|
|
|
float $originLong |
459
|
|
|
): array { |
460
|
10 |
|
$originLat = deg2rad($originLat); |
461
|
10 |
|
$originLong = deg2rad($originLong); |
462
|
|
|
|
463
|
10 |
|
$lat = deg2rad($this->lat); |
464
|
10 |
|
$sinLat = sin($lat); |
465
|
10 |
|
$cosLat = cos($lat); |
466
|
10 |
|
$tanLat = tan($lat); |
467
|
10 |
|
$tanLatSq = $tanLat ** 2; |
468
|
10 |
|
$long = deg2rad($this->lng); |
469
|
|
|
|
470
|
10 |
|
$n = ($this->refEll->getMaj() - $this->refEll->getMin()) / ($this->refEll->getMaj() + $this->refEll->getMin()); |
471
|
10 |
|
$nSq = $n ** 2; |
472
|
10 |
|
$nCu = $n ** 3; |
473
|
|
|
|
474
|
10 |
|
$v = $this->refEll->getMaj() * $scale * ((1 - $this->refEll->getEcc() * ($sinLat ** 2)) ** -0.5); |
475
|
10 |
|
$p = $this->refEll->getMaj() * $scale * (1 - $this->refEll->getEcc()) * ((1 - $this->refEll->getEcc() * ($sinLat ** 2)) ** -1.5); |
476
|
10 |
|
$hSq = (($v / $p) - 1); |
477
|
|
|
|
478
|
10 |
|
$latPlusOrigin = $lat + $originLat; |
479
|
10 |
|
$latMinusOrigin = $lat - $originLat; |
480
|
|
|
|
481
|
10 |
|
$longMinusOrigin = $long - $originLong; |
482
|
|
|
|
483
|
10 |
|
$M = $this->refEll->getMin() * $scale |
484
|
10 |
|
* ((1 + $n + 1.25 * ($nSq + $nCu)) * $latMinusOrigin |
485
|
10 |
|
- (3 * ($n + $nSq) + 2.625 * $nCu) * sin($latMinusOrigin) * cos($latPlusOrigin) |
486
|
10 |
|
+ 1.875 * ($nSq + $nCu) * sin(2 * $latMinusOrigin) * cos(2 * $latPlusOrigin) |
487
|
10 |
|
- (35 / 24 * $nCu * sin(3 * $latMinusOrigin) * cos(3 * $latPlusOrigin))); |
488
|
|
|
|
489
|
10 |
|
$I = $M + $originNorthing; |
490
|
10 |
|
$II = $v / 2 * $sinLat * $cosLat; |
491
|
10 |
|
$III = $v / 24 * $sinLat * ($cosLat ** 3) * (5 - $tanLatSq + 9 * $hSq); |
492
|
10 |
|
$IIIA = $v / 720 * $sinLat * ($cosLat ** 5) * (61 - 58 * $tanLatSq + ($tanLatSq ** 2)); |
493
|
10 |
|
$IV = $v * $cosLat; |
494
|
10 |
|
$V = $v / 6 * ($cosLat ** 3) * ($v / $p - $tanLatSq); |
495
|
10 |
|
$VI = $v / 120 * ($cosLat ** 5) * (5 - 18 * $tanLatSq + ($tanLatSq ** 2) + 14 * $hSq - 58 * $tanLatSq * $hSq); |
496
|
|
|
|
497
|
10 |
|
$E = (int) round($originEasting + $IV * $longMinusOrigin + $V * ($longMinusOrigin ** 3) + $VI * ($longMinusOrigin ** 5)); |
498
|
10 |
|
$N = (int) round($I + $II * ($longMinusOrigin ** 2) + $III * ($longMinusOrigin ** 4) + $IIIA * ($longMinusOrigin ** 6)); |
499
|
|
|
|
500
|
10 |
|
return ['E' => $E, 'N' => $N]; |
501
|
|
|
} |
502
|
|
|
} |
503
|
|
|
|