GeographicLib: DMS.hpp Source File

GeographicLib 2.6

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DMS.hpp
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1/**
2 * \file DMS.hpp
3 * \brief Header for GeographicLib::DMS class
4 *
5 * Copyright (c) Charles Karney (2008-2022) <karney@alum.mit.edu> and licensed
6 * under the MIT/X11 License. For more information, see
7 * https://geographiclib.sourceforge.io/
8 **********************************************************************/
9
10#if !defined(GEOGRAPHICLIB_DMS_HPP)
11#define GEOGRAPHICLIB_DMS_HPP 1
12
13#include <GeographicLib/Constants.hpp>
14#include <GeographicLib/Utility.hpp>
15
16#if defined(_MSC_VER)
17// Squelch warnings about unrepresentable characters
18# pragma warning (push)
19# pragma warning (disable: 4819)
20#endif
21
22namespace GeographicLib {
23
24 /**
25 * \brief Convert between degrees and the %DMS representation
26 *
27 * Parse a string representing degree, minutes, and seconds and return the
28 * angle in degrees and format an angle in degrees as degree, minutes, and
29 * seconds. In addition, handle NANs and infinities on input and output.
30 *
31 * Example of use:
32 * \include example-DMS.cpp
33 **********************************************************************/
34 class GEOGRAPHICLIB_EXPORT DMS {
35 public:
36
37 /**
38 * Indicator for presence of hemisphere indicator (N/S/E/W) on latitudes
39 * and longitudes.
40 **********************************************************************/
41 enum flag {
42 /**
43 * No indicator present.
44 * @hideinitializer
45 **********************************************************************/
46 NONE = 0,
47 /**
48 * Latitude indicator (N/S) present.
49 * @hideinitializer
50 **********************************************************************/
51 LATITUDE = 1,
52 /**
53 * Longitude indicator (E/W) present.
54 * @hideinitializer
55 **********************************************************************/
56 LONGITUDE = 2,
57 /**
58 * Used in Encode to indicate output of an azimuth in [000, 360) with no
59 * letter indicator.
60 * @hideinitializer
61 **********************************************************************/
62 AZIMUTH = 3,
63 /**
64 * Used in Encode to indicate output of a plain number.
65 * @hideinitializer
66 **********************************************************************/
67 NUMBER = 4,
68 };
69
70 /**
71 * Indicator for trailing units on an angle.
72 **********************************************************************/
73 enum component {
74 /**
75 * Trailing unit is degrees.
76 * @hideinitializer
77 **********************************************************************/
78 DEGREE = 0,
79 /**
80 * Trailing unit is arc minutes.
81 * @hideinitializer
82 **********************************************************************/
83 MINUTE = 1,
84 /**
85 * Trailing unit is arc seconds.
86 * @hideinitializer
87 **********************************************************************/
88 SECOND = 2,
89 };
90
91 private:
92 typedef Math::real real;
93 // Replace all occurrences of pat by c. If c is NULL remove pat.
94 static void replace(std::string& s, const std::string& pat, char c);
95 static const char* const hemispheres_;
96 static const char* const signs_;
97 static const char* const digits_;
98 static const char* const dmsindicators_;
99 static const char* const components_[3];
100 static Math::real NumMatch(const std::string& s);
101 static Math::real InternalDecode(const std::string& dmsa, flag& ind);
102 DMS() = delete; // Disable constructor
103
104 public:
105
106 /**
107 * Convert a string in DMS to an angle.
108 *
109 * @param[in] dms string input.
110 * @param[out] ind a DMS::flag value signaling the presence of a
111 * hemisphere indicator.
112 * @exception GeographicErr if \e dms is malformed (see below).
113 * @return angle (degrees).
114 *
115 * Degrees, minutes, and seconds are indicated by the characters d, '
116 * (single quote), &quot; (double quote), and these components may only be
117 * given in this order. Any (but not all) components may be omitted and
118 * other symbols (e.g., the &deg; symbol for degrees and the unicode prime
119 * and double prime symbols for minutes and seconds) may be substituted;
120 * two single quotes can be used instead of &quot;. The last component
121 * indicator may be omitted and is assumed to be the next smallest unit
122 * (thus 33d10 is interpreted as 33d10'). The final component may be a
123 * decimal fraction but the non-final components must be integers. Instead
124 * of using d, ', and &quot; to indicate degrees, minutes, and seconds, :
125 * (colon) may be used to <i>separate</i> these components (numbers must
126 * appear before and after each colon); thus 50d30'10.3&quot; may be
127 * written as 50:30:10.3, 5.5' may be written 0:5.5, and so on. The
128 * integer parts of the minutes and seconds components must be less
129 * than 60. A single leading sign is permitted. A hemisphere designator
130 * (N, E, W, S) may be added to the beginning or end of the string. The
131 * result is multiplied by the implied sign of the hemisphere designator
132 * (negative for S and W). In addition \e ind is set to DMS::LATITUDE if N
133 * or S is present, to DMS::LONGITUDE if E or W is present, and to
134 * DMS::NONE otherwise. Leading and trailing whitespace is removed from
135 * the string before processing. This routine throws an error on a
136 * malformed string. No check is performed on the range of the result.
137 * Examples of legal and illegal strings are
138 * - <i>LEGAL</i> (all the entries on each line are equivalent)
139 * - -20.51125, 20d30'40.5&quot;S, -20&deg;30'40.5, -20d30.675,
140 * N-20d30'40.5&quot;, -20:30:40.5
141 * - 4d0'9, 4d9&quot;, 4d9'', 4:0:9, 004:00:09, 4.0025, 4.0025d, 4d0.15,
142 * 04:.15
143 * - 4:59.99999999999999, 4:60.0, 4:59:59.9999999999999, 4:59:60.0, 5
144 * - <i>ILLEGAL</i> (the exception thrown explains the problem)
145 * - 4d5&quot;4', 4::5, 4:5:, :4:5, 4d4.5'4&quot;, -N20.5, 1.8e2d, 4:60,
146 * 4:59:60
147 *
148 * The decoding operation can also perform addition and subtraction
149 * operations. If the string includes <i>internal</i> signs (i.e., not at
150 * the beginning nor immediately after an initial hemisphere designator),
151 * then the string is split immediately before such signs and each piece is
152 * decoded according to the above rules and the results added; thus
153 * <code>S3-2.5+4.1N</code> is parsed as the sum of <code>S3</code>,
154 * <code>-2.5</code>, <code>+4.1N</code>. Any piece can include a
155 * hemisphere designator; however, if multiple designators are given, they
156 * must compatible; e.g., you cannot mix N and E. In addition, the
157 * designator can appear at the beginning or end of the first piece, but
158 * must be at the end of all subsequent pieces (a hemisphere designator is
159 * not allowed after the initial sign). Examples of legal and illegal
160 * combinations are
161 * - <i>LEGAL</i> (these are all equivalent)
162 * - -070:00:45, 70:01:15W+0:0.5, 70:01:15W-0:0:30W, W70:01:15+0:0:30E
163 * - <i>ILLEGAL</i> (the exception thrown explains the problem)
164 * - 70:01:15W+0:0:15N, W70:01:15+W0:0:15
165 *
166 * \warning The "exponential" notation is not recognized. Thus
167 * <code>7.0E1</code> is illegal, while <code>7.0E+1</code> is parsed as
168 * <code>(7.0E) + (+1)</code>, yielding the same result as
169 * <code>8.0E</code>.
170 *
171 * \note At present, all the string handling in the C++ implementation of
172 * %GeographicLib is with 8-bit characters. The support for unicode
173 * symbols for degrees, minutes, and seconds is therefore via the
174 * <a href="https://en.wikipedia.org/wiki/UTF-8">UTF-8</a> encoding. (The
175 * JavaScript implementation of this class uses unicode natively, of
176 * course.)
177 *
178 * Here is the list of Unicode symbols supported for degrees, minutes,
179 * seconds, and the plus and minus signs; various symbols denoting variants
180 * of a space, which may separate the components of a DMS string, are
181 * removed:
182 * - degrees:
183 * - d, D lower and upper case letters
184 * - U+00b0 degree symbol (&deg;)
185 * - U+00ba masculine ordinal indicator (&ordm;)
186 * - U+2070 superscript zero (⁰)
187 * - U+02da ring above (˚)
188 * - U+2218 compose function (∘)
189 * - * the <a href="https://grid.nga.mil">GRiD</a> symbol for degrees
190 * - minutes:
191 * - ' apostrophe
192 * - ` grave accent
193 * - U+2032 prime (&prime;)
194 * - U+2035 back prime (‵)
195 * - U+00b4 acute accent (&acute;)
196 * - U+2018 left single quote (&lsquo;)
197 * - U+2019 right single quote (&rsquo;)
198 * - U+201b reversed-9 single quote (‛)
199 * - U+02b9 modifier letter prime (ʹ)
200 * - U+02ca modifier letter acute accent (ˊ)
201 * - U+02cb modifier letter grave accent (ˋ)
202 * - seconds:
203 * - &quot; quotation mark
204 * - U+2033 double prime (&Prime;)
205 * - U+2036 reversed double prime (‶)
206 * + U+02dd double acute accent (˝)
207 * - U+201c left double quote (&ldquo;)
208 * - U+201d right double quote (&rdquo;)
209 * - U+201f reversed-9 double quote (‟)
210 * - U+02ba modifier letter double prime (ʺ)
211 * - '&thinsp;' any two consecutive symbols for minutes
212 * - plus sign:
213 * - + plus
214 * - U+2795 heavy plus (➕)
215 * - U+2064 invisible plus (|⁤|)
216 * - minus sign:
217 * - - hyphen
218 * - U+2010 dash (‐)
219 * - U+2011 non-breaking hyphen (‑)
220 * - U+2013 en dash (&ndash;)
221 * - U+2014 em dash (&mdash;)
222 * - U+2212 minus sign (&minus;)
223 * - U+2796 heavy minus (➖)
224 * - ignored spaces:
225 * - U+00a0 non-breaking space
226 * - U+2007 figure space (| |)
227 * - U+2009 thin space (|&thinsp;|)
228 * - U+200a hair space ( | |)
229 * - U+200b invisible space (|​|)
230 * - U+202f narrow space ( | |)
231 * - U+2063 invisible separator (|⁣|)
232 * .
233 * The codes with a leading zero byte, e.g., U+00b0, are accepted in their
234 * UTF-8 coded form 0xc2 0xb0 and as a single byte 0xb0.
235 **********************************************************************/
236 static Math::real Decode(const std::string& dms, flag& ind);
237
238 /**
239 * Convert DMS to an angle.
240 *
241 * @param[in] d degrees.
242 * @param[in] m arc minutes.
243 * @param[in] s arc seconds.
244 * @return angle (degrees)
245 *
246 * This does not propagate the sign on \e d to the other components,
247 * so -3d20' would need to be represented as - DMS::Decode(3.0, 20.0) or
248 * DMS::Decode(-3.0, -20.0).
249 **********************************************************************/
250 static Math::real Decode(real d, real m = 0, real s = 0)
251 { return d + (m + s / real(Math::ms)) / real(Math::dm); }
252
253 /**
254 * Convert a pair of strings to latitude and longitude.
255 *
256 * @param[in] dmsa first string.
257 * @param[in] dmsb second string.
258 * @param[out] lat latitude (degrees).
259 * @param[out] lon longitude (degrees).
260 * @param[in] longfirst if true assume longitude is given before latitude
261 * in the absence of hemisphere designators (default false).
262 * @exception GeographicErr if \e dmsa or \e dmsb is malformed.
263 * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as
264 * latitudes.
265 * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as
266 * longitudes.
267 * @exception GeographicErr if decoded latitude is not in [&minus;90&deg;,
268 * 90&deg;].
269 *
270 * By default, the \e lat (resp., \e lon) is assigned to the results of
271 * decoding \e dmsa (resp., \e dmsb). However this is overridden if either
272 * \e dmsa or \e dmsb contain a latitude or longitude hemisphere designator
273 * (N, S, E, W). If an exception is thrown, \e lat and \e lon are
274 * unchanged.
275 **********************************************************************/
276 static void DecodeLatLon(const std::string& dmsa, const std::string& dmsb,
277 real& lat, real& lon,
278 bool longfirst = false);
279
280 /**
281 * Convert a string to an angle in degrees.
282 *
283 * @param[in] angstr input string.
284 * @exception GeographicErr if \e angstr is malformed.
285 * @exception GeographicErr if \e angstr includes a hemisphere designator.
286 * @return angle (degrees)
287 *
288 * No hemisphere designator is allowed and no check is done on the range of
289 * the result.
290 **********************************************************************/
291 static Math::real DecodeAngle(const std::string& angstr);
292
293 /**
294 * Convert a string to an azimuth in degrees.
295 *
296 * @param[in] azistr input string.
297 * @exception GeographicErr if \e azistr is malformed.
298 * @exception GeographicErr if \e azistr includes a N/S designator.
299 * @return azimuth (degrees) reduced to the range [&minus;180&deg;,
300 * 180&deg;].
301 *
302 * A hemisphere designator E/W can be used; the result is multiplied by
303 * &minus;1 if W is present.
304 **********************************************************************/
305 static Math::real DecodeAzimuth(const std::string& azistr);
306
307 /**
308 * Convert angle (in degrees) into a DMS string (using d, ', and &quot;).
309 *
310 * @param[in] angle input angle (degrees)
311 * @param[in] trailing DMS::component value indicating the trailing units
312 * of the string (this component is given as a decimal number if
313 * necessary).
314 * @param[in] prec the number of digits after the decimal point for the
315 * trailing component.
316 * @param[in] ind DMS::flag value indicating additional formatting.
317 * @param[in] dmssep if non-null, use as the DMS separator character
318 * (instead of d, ', &quot; delimiters).
319 * @exception std::bad_alloc if memory for the string can't be allocated.
320 * @return formatted string
321 *
322 * The interpretation of \e ind is as follows:
323 * - ind == DMS::NONE, signed result no leading zeros on degrees except in
324 * the units place, e.g., -8d03'.
325 * - ind == DMS::LATITUDE, trailing N or S hemisphere designator, no sign,
326 * pad degrees to 2 digits, e.g., 08d03'S.
327 * - ind == DMS::LONGITUDE, trailing E or W hemisphere designator, no
328 * sign, pad degrees to 3 digits, e.g., 008d03'W.
329 * - ind == DMS::AZIMUTH, convert to the range [0, 360&deg;), no
330 * sign, pad degrees to 3 digits, e.g., 351d57'.
331 * .
332 * The integer parts of the minutes and seconds components are always given
333 * with 2 digits.
334 **********************************************************************/
335 static std::string Encode(real angle, component trailing, unsigned prec,
336 flag ind = NONE, char dmssep = char(0));
337
338 /**
339 * Convert angle into a DMS string (using d, ', and &quot;) selecting the
340 * trailing component based on the precision.
341 *
342 * @param[in] angle input angle (degrees)
343 * @param[in] prec the precision relative to 1 degree.
344 * @param[in] ind DMS::flag value indicated additional formatting.
345 * @param[in] dmssep if non-null, use as the DMS separator character
346 * (instead of d, ', &quot; delimiters).
347 * @exception std::bad_alloc if memory for the string can't be allocated.
348 * @return formatted string
349 *
350 * \e prec indicates the precision relative to 1 degree, e.g., \e prec = 3
351 * gives a result accurate to 0.1' and \e prec = 4 gives a result accurate
352 * to 1&quot;. \e ind is interpreted as in DMS::Encode with the additional
353 * facility that DMS::NUMBER represents \e angle as a number in fixed
354 * format with precision \e prec.
355 **********************************************************************/
356 static std::string Encode(real angle, unsigned prec, flag ind = NONE,
357 char dmssep = char(0)) {
358 return ind == NUMBER ? Utility::str(angle, int(prec)) :
359 Encode(angle,
360 prec < 2 ? DEGREE : (prec < 4 ? MINUTE : SECOND),
361 prec < 2 ? prec : (prec < 4 ? prec - 2 : prec - 4),
362 ind, dmssep);
363 }
364
365 /**
366 * Split angle into degrees and minutes
367 *
368 * @param[in] ang angle (degrees)
369 * @param[out] d degrees (an integer returned as a real)
370 * @param[out] m arc minutes.
371 **********************************************************************/
372 static void Encode(real ang, real& d, real& m) {
373 d = int(ang); m = real(Math::dm) * (ang - d);
374 }
375
376 /**
377 * Split angle into degrees and minutes and seconds.
378 *
379 * @param[in] ang angle (degrees)
380 * @param[out] d degrees (an integer returned as a real)
381 * @param[out] m arc minutes (an integer returned as a real)
382 * @param[out] s arc seconds.
383 **********************************************************************/
384 static void Encode(real ang, real& d, real& m, real& s) {
385 d = int(ang); ang = real(Math::dm) * (ang - d);
386 m = int(ang); s = real(Math::ms) * (ang - m);
387 }
388
389 };
390
391} // namespace GeographicLib
392
393#if defined(_MSC_VER)
394# pragma warning (pop)
395#endif
396
397#endif // GEOGRAPHICLIB_DMS_HPP
Constants.hpp
Header for GeographicLib::Constants class.
GEOGRAPHICLIB_EXPORT
#define GEOGRAPHICLIB_EXPORT
Definition Constants.hpp:59
ang
GeographicLib::Angle ang
Definition Geod3Solve.cpp:26
real
GeographicLib::Math::real real
Definition Geod3Solve.cpp:25
Utility.hpp
Header for GeographicLib::Utility class.
GeographicLib::DMS
Convert between degrees and the DMS representation.
Definition DMS.hpp:34
GeographicLib::DMS::Encode
static void Encode(real ang, real &d, real &m)
Definition DMS.hpp:372
GeographicLib::DMS::Decode
static Math::real Decode(real d, real m=0, real s=0)
Definition DMS.hpp:250
GeographicLib::DMS::flag
flag
Definition DMS.hpp:41
GeographicLib::DMS::LONGITUDE
@ LONGITUDE
Definition DMS.hpp:56
GeographicLib::DMS::NUMBER
@ NUMBER
Definition DMS.hpp:67
GeographicLib::DMS::LATITUDE
@ LATITUDE
Definition DMS.hpp:51
GeographicLib::DMS::AZIMUTH
@ AZIMUTH
Definition DMS.hpp:62
GeographicLib::DMS::NONE
@ NONE
Definition DMS.hpp:46
GeographicLib::DMS::component
component
Definition DMS.hpp:73
GeographicLib::DMS::SECOND
@ SECOND
Definition DMS.hpp:88
GeographicLib::DMS::DEGREE
@ DEGREE
Definition DMS.hpp:78
GeographicLib::DMS::MINUTE
@ MINUTE
Definition DMS.hpp:83
GeographicLib::DMS::Encode
static std::string Encode(real angle, component trailing, unsigned prec, flag ind=NONE, char dmssep=char(0))
Definition DMS.cpp:422
GeographicLib::DMS::Encode
static std::string Encode(real angle, unsigned prec, flag ind=NONE, char dmssep=char(0))
Definition DMS.hpp:356
GeographicLib::DMS::Encode
static void Encode(real ang, real &d, real &m, real &s)
Definition DMS.hpp:384
GeographicLib::Math::dm
static constexpr int dm
minutes per degree
Definition Math.hpp:143
GeographicLib::Math::real
double real
Definition Math.hpp:115
GeographicLib::Math::ms
static constexpr int ms
seconds per minute
Definition Math.hpp:144
GeographicLib::Utility::str
static std::string str(T x, int p=-1)
Definition Utility.hpp:161
GeographicLib
Namespace for GeographicLib.
Definition Accumulator.cpp:12