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
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
|
#pragma once
/**
* \file NETGeographicLib/GeodesicLine.h
* \brief Header for NETGeographicLib::GeodesicLine class
*
* NETGeographicLib is copyright (c) Scott Heiman (2013)
* GeographicLib is Copyright (c) Charles Karney (2010-2012)
* <charles@karney.com> and licensed under the MIT/X11 License.
* For more information, see
* http://geographiclib.sourceforge.net/
**********************************************************************/
#include "NETGeographicLib.h"
namespace NETGeographicLib
{
/**
* \brief .NET wrapper for GeographicLib::GeodesicLine.
*
* This class allows .NET applications to access GeographicLib::GeodesicLine.
*
* GeodesicLine facilitates the determination of a series of points on a
* single geodesic. The starting point (\e lat1, \e lon1) and the azimuth \e
* azi1 are specified in the constructor. GeodesicLine.Position returns the
* location of point 2 a distance \e s12 along the geodesic. Alternatively
* GeodesicLine.ArcPosition gives the position of point 2 an arc length \e
* a12 along the geodesic.
*
* The default copy constructor and assignment operators work with this
* class. Similarly, a vector can be used to hold GeodesicLine objects.
*
* The calculations are accurate to better than 15 nm (15 nanometers). See
* Sec. 9 of
* <a href="http://arxiv.org/abs/1102.1215v1">arXiv:1102.1215v1</a> for
* details. The algorithms used by this class are based on series expansions
* using the flattening \e f as a small parameter. These are only accurate
* for |<i>f</i>| < 0.02; however reasonably accurate results will be
* obtained for |<i>f</i>| < 0.2. For very eccentric ellipsoids, use
* GeodesicLineExact instead.
*
* The algorithms are described in
* - C. F. F. Karney,
* <a href="http://dx.doi.org/10.1007/s00190-012-0578-z">
* Algorithms for geodesics</a>,
* J. Geodesy <b>87</b>, 43--55 (2013);
* DOI: <a href="http://dx.doi.org/10.1007/s00190-012-0578-z">
* 10.1007/s00190-012-0578-z</a>;
* addenda: <a href="http://geographiclib.sf.net/geod-addenda.html">
* geod-addenda.html</a>.
* .
* For more information on geodesics see \ref geodesic.
*
* C# Example:
* \include example-GeodesicLine.cs
* Managed C++ Example:
* \include example-GeodesicLine.cpp
* Visual Basic Example:
* \include example-GeodesicLine.vb
*
* <B>INTERFACE DIFFERENCES:</B><BR>
* A constructor has been provided which assumes WGS84 parameters.
*
* The following functions are implemented as properties:
* Latitude, Longitude, Azimuth, EquatorialAzimuth, EquatorialArc,
* MajorRadius, and Flattening.
*
* The constructors, Capabilities, and GenPosition functions accept the
* "capabilities mask" as a NETGeographicLib::Mask rather than an
* unsigned. The Capabilities function returns a NETGeographicLib::Mask
* rather than an unsigned.
**********************************************************************/
public ref class GeodesicLine
{
private:
// pointer to the unmanaged GeographicLib::GeodesicLine.
const GeographicLib::GeodesicLine* m_pGeodesicLine;
// The finalizer frees the unmanaged memory when this object is destroyed.
!GeodesicLine(void);
public:
/** \name Constructors
**********************************************************************/
///@{
/**
* Constructor for a geodesic line staring at latitude \e lat1, longitude
* \e lon1, and azimuth \e azi1 (all in degrees).
*
* @param[in] g A Geodesic object used to compute the necessary information
* about the GeodesicLine.
* @param[in] lat1 latitude of point 1 (degrees).
* @param[in] lon1 longitude of point 1 (degrees).
* @param[in] azi1 azimuth at point 1 (degrees).
* @param[in] caps bitor'ed combination of NETGeographicLib::Mask values
* specifying the capabilities the GeodesicLine object should possess,
* i.e., which quantities can be returned in calls to
* GeodesicLine::Position.
*
* \e lat1 should be in the range [−90°, 90°]; \e lon1 and \e
* azi1 should be in the range [−540°, 540°).
*
* The NETGeographicLib::Mask values are
* - \e caps |= GeodesicLine::LATITUDE for the latitude \e lat2; this is
* added automatically;
* - \e caps |= GeodesicLine::LONGITUDE for the latitude \e lon2;
* - \e caps |= GeodesicLine::AZIMUTH for the latitude \e azi2; this is
* added automatically;
* - \e caps |= GeodesicLine::DISTANCE for the distance \e s12;
* - \e caps |= GeodesicLine::REDUCEDLENGTH for the reduced length \e m12;
* - \e caps |= GeodesicLine::GEODESICSCALE for the geodesic scales \e M12
* and \e M21;
* - \e caps |= GeodesicLine::AREA for the area \e S12;
* - \e caps |= GeodesicLine::DISTANCE_IN permits the length of the
* geodesic to be given in terms of \e s12; without this capability the
* length can only be specified in terms of arc length;
* - \e caps |= GeodesicLine::ALL for all of the above.
* .
* The default value of \e caps is GeodesicLine::ALL.
*
* If the point is at a pole, the azimuth is defined by keeping \e lon1
* fixed, writing \e lat1 = ±(90° − ε), and taking
* the limit ε → 0+.
**********************************************************************/
GeodesicLine( Geodesic^ g, double lat1, double lon1, double azi1,
NETGeographicLib::Mask caps );
/**
* A constructor which assumes the WGS84 ellipsoid.
**********************************************************************/
GeodesicLine(double lat1, double lon1, double azi1,
NETGeographicLib::Mask caps);
///@}
/**
* The destructor calls the finalizer.
**********************************************************************/
~GeodesicLine()
{ this->!GeodesicLine(); }
/** \name Position in terms of distance
**********************************************************************/
///@{
/**
* Compute the position of point 2 which is a distance \e s12 (meters) from
* point 1.
*
* @param[in] s12 distance between point 1 and point 2 (meters); it can be
* negative.
* @param[out] lat2 latitude of point 2 (degrees).
* @param[out] lon2 longitude of point 2 (degrees); requires that the
* GeodesicLine object was constructed with \e caps |=
* GeodesicLine::LONGITUDE.
* @param[out] azi2 (forward) azimuth at point 2 (degrees).
* @param[out] m12 reduced length of geodesic (meters); requires that the
* GeodesicLine object was constructed with \e caps |=
* GeodesicLine::REDUCEDLENGTH.
* @param[out] M12 geodesic scale of point 2 relative to point 1
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= GeodesicLine::GEODESICSCALE.
* @param[out] M21 geodesic scale of point 1 relative to point 2
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= GeodesicLine::GEODESICSCALE.
* @param[out] S12 area under the geodesic (meters<sup>2</sup>); requires
* that the GeodesicLine object was constructed with \e caps |=
* GeodesicLine::AREA.
* @return \e a12 arc length of between point 1 and point 2 (degrees).
*
* The values of \e lon2 and \e azi2 returned are in the range
* [−180°, 180°).
*
* The GeodesicLine object \e must have been constructed with \e caps |=
* GeodesicLine::DISTANCE_IN; otherwise Math::NaN() is returned and no
* parameters are set. Requesting a value which the GeodesicLine object is
* not capable of computing is not an error; the corresponding argument
* will not be altered.
*
* The following functions are overloaded versions of
* GeodesicLine::Position which omit some of the output parameters. Note,
* however, that the arc length is always computed and returned as the
* function value.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% m12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21,
[System::Runtime::InteropServices::Out] double% S12);
/**
* See the documentation for GeodesicLine::Position.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2);
/**
* See the documentation for GeodesicLine::Position.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2);
/**
* See the documentation for GeodesicLine::Position.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% m12);
/**
* See the documentation for GeodesicLine::Position.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21);
/**
* See the documentation for GeodesicLine::Position.
**********************************************************************/
double Position(double s12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% m12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21);
///@}
/** \name Position in terms of arc length
**********************************************************************/
///@{
/**
* Compute the position of point 2 which is an arc length \e a12 (degrees)
* from point 1.
*
* @param[in] a12 arc length between point 1 and point 2 (degrees); it can
* be negative.
* @param[out] lat2 latitude of point 2 (degrees).
* @param[out] lon2 longitude of point 2 (degrees); requires that the
* GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::LONGITUDE.
* @param[out] azi2 (forward) azimuth at point 2 (degrees).
* @param[out] s12 distance between point 1 and point 2 (meters); requires
* that the GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::DISTANCE.
* @param[out] m12 reduced length of geodesic (meters); requires that the
* GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::REDUCEDLENGTH.
* @param[out] M12 geodesic scale of point 2 relative to point 1
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= NETGeographicLib::Mask::GEODESICSCALE.
* @param[out] M21 geodesic scale of point 1 relative to point 2
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= NETGeographicLib::Mask::GEODESICSCALE.
* @param[out] S12 area under the geodesic (meters<sup>2</sup>); requires
* that the GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::AREA.
*
* The values of \e lon2 and \e azi2 returned are in the range
* [−180°, 180°).
*
* Requesting a value which the GeodesicLine object is not capable of
* computing is not an error; the corresponding argument will not be
* altered.
*
* The following functions are overloaded versions of
* GeodesicLine::ArcPosition which omit some of the output parameters.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12,
[System::Runtime::InteropServices::Out] double% m12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21,
[System::Runtime::InteropServices::Out] double% S12);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12,
[System::Runtime::InteropServices::Out] double% m12);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21);
/**
* See the documentation for GeodesicLine::ArcPosition.
**********************************************************************/
void ArcPosition(double a12,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12,
[System::Runtime::InteropServices::Out] double% m12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21);
///@}
/** \name The general position function.
**********************************************************************/
///@{
/**
* The general position function. GeodesicLine::Position and
* GeodesicLine::ArcPosition are defined in terms of this function.
*
* @param[in] arcmode boolean flag determining the meaning of the second
* parameter; if arcmode is false, then the GeodesicLine object must have
* been constructed with \e caps |= GeodesicLine::DISTANCE_IN.
* @param[in] s12_a12 if \e arcmode is false, this is the distance between
* point 1 and point 2 (meters); otherwise it is the arc length between
* point 1 and point 2 (degrees); it can be negative.
* @param[in] outmask a bitor'ed combination of NETGeographicLib::Mask values
* specifying which of the following parameters should be set.
* @param[out] lat2 latitude of point 2 (degrees).
* @param[out] lon2 longitude of point 2 (degrees); requires that the
* GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::LONGITUDE.
* @param[out] azi2 (forward) azimuth at point 2 (degrees).
* @param[out] s12 distance between point 1 and point 2 (meters); requires
* that the GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::DISTANCE.
* @param[out] m12 reduced length of geodesic (meters); requires that the
* GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::REDUCEDLENGTH.
* @param[out] M12 geodesic scale of point 2 relative to point 1
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= NETGeographicLib::Mask::GEODESICSCALE.
* @param[out] M21 geodesic scale of point 1 relative to point 2
* (dimensionless); requires that the GeodesicLine object was constructed
* with \e caps |= NETGeographicLib::Mask::GEODESICSCALE.
* @param[out] S12 area under the geodesic (meters<sup>2</sup>); requires
* that the GeodesicLine object was constructed with \e caps |=
* NETGeographicLib::Mask::AREA.
* @return \e a12 arc length of between point 1 and point 2 (degrees).
*
* The GeodesicLine::mask values possible for \e outmask are
* - \e outmask |= NETGeographicLib::Mask::LATITUDE for the latitude \e lat2;
* - \e outmask |= NETGeographicLib::Mask::LONGITUDE for the latitude \e lon2;
* - \e outmask |= NETGeographicLib::Mask::AZIMUTH for the latitude \e azi2;
* - \e outmask |= NETGeographicLib::Mask::DISTANCE for the distance \e s12;
* - \e outmask |= NETGeographicLib::Mask::REDUCEDLENGTH for the reduced length \e
* m12;
* - \e outmask |= NETGeographicLib::Mask::GEODESICSCALE for the geodesic scales \e
* M12 and \e M21;
* - \e outmask |= NETGeographicLib::Mask::AREA for the area \e S12;
* - \e outmask |= NETGeographicLib::Mask::ALL for all of the above.
* .
* Requesting a value which the GeodesicLine object is not capable of
* computing is not an error; the corresponding argument will not be
* altered. Note, however, that the arc length is always computed and
* returned as the function value.
**********************************************************************/
double GenPosition(bool arcmode, double s12_a12,
NETGeographicLib::Mask outmask,
[System::Runtime::InteropServices::Out] double% lat2,
[System::Runtime::InteropServices::Out] double% lon2,
[System::Runtime::InteropServices::Out] double% azi2,
[System::Runtime::InteropServices::Out] double% s12,
[System::Runtime::InteropServices::Out] double% m12,
[System::Runtime::InteropServices::Out] double% M12,
[System::Runtime::InteropServices::Out] double% M21,
[System::Runtime::InteropServices::Out] double% S12);
///@}
/** \name Inspector functions
**********************************************************************/
///@{
/**
* @return \e lat1 the latitude of point 1 (degrees).
**********************************************************************/
property double Latitude { double get(); }
/**
* @return \e lon1 the longitude of point 1 (degrees).
**********************************************************************/
property double Longitude { double get(); }
/**
* @return \e azi1 the azimuth (degrees) of the geodesic line at point 1.
**********************************************************************/
property double Azimuth { double get(); }
/**
* @return \e azi0 the azimuth (degrees) of the geodesic line as it crosses
* the equator in a northward direction.
**********************************************************************/
property double EquatorialAzimuth { double get(); }
/**
* @return \e a1 the arc length (degrees) between the northward equatorial
* crossing and point 1.
**********************************************************************/
property double EquatorialArc { double get(); }
/**
* @return \e a the equatorial radius of the ellipsoid (meters). This is
* the value inherited from the Geodesic object used in the constructor.
**********************************************************************/
property double MajorRadius { double get(); }
/**
* @return \e f the flattening of the ellipsoid. This is the value
* inherited from the Geodesic object used in the constructor.
**********************************************************************/
property double Flattening { double get(); }
/**
* @return \e caps the computational capabilities that this object was
* constructed with. LATITUDE and AZIMUTH are always included.
**********************************************************************/
NETGeographicLib::Mask Capabilities();
/**
* @param[in] testcaps a set of bitor'ed GeodesicLine::mask values.
* @return true if the GeodesicLine object has all these capabilities.
**********************************************************************/
bool Capabilities(NETGeographicLib::Mask testcaps);
///@}
};
} // namespace NETGeographicLib
|
