GeographicLib 2.6
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DMS.cpp
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1/**
2 * \file DMS.cpp
3 * \brief Implementation 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#include <GeographicLib/DMS.hpp>
11#include <GeographicLib/Utility.hpp>
12
13#if defined(_MSC_VER)
14// Squelch warnings about unrepresentable characters
15# pragma warning (disable: 4819)
16#endif
17
18namespace GeographicLib {
19
20 using namespace std;
21
22 const char* const DMS::hemispheres_ = "SNWE";
23 const char* const DMS::signs_ = "-+";
24 const char* const DMS::digits_ = "0123456789";
25 const char* const DMS::dmsindicators_ = "D'\":";
26 const char* const DMS::components_[] = {"degrees", "minutes", "seconds"};
27
28 // Replace all occurrences of pat by c. If c is NULL remove pat.
29 void DMS::replace(std::string& s, const std::string& pat, char c) {
30 string::size_type p = 0;
31 int count = c ? 1 : 0;
32 while (true) {
33 p = s.find(pat, p);
34 if (p == string::npos)
35 break;
36 s.replace(p, pat.length(), count, c);
37 }
38 }
39
40 Math::real DMS::Decode(const std::string& dms, flag& ind) {
41 // Here's a table of the allowed characters
42
43 // S unicode dec UTF-8 descripton
44
45 // DEGREE
46 // d U+0064 100 64 d
47 // D U+0044 68 44 D
48 // ° U+00b0 176 c2 b0 degree symbol
49 // º U+00ba 186 c2 ba alt symbol
50 // ⁰ U+2070 8304 e2 81 b0 sup zero
51 // ˚ U+02da 730 cb 9a ring above
52 // ∘ U+2218 8728 e2 88 98 compose function
53 // * U+002a 42 2a GRiD symbol for degrees
54
55 // MINUTES
56 // ' U+0027 39 27 apostrophe
57 // ` U+0060 96 60 grave accent
58 // ′ U+2032 8242 e2 80 b2 prime
59 // ‵ U+2035 8245 e2 80 b5 back prime
60 // ´ U+00b4 180 c2 b4 acute accent
61 // ‘ U+2018 8216 e2 80 98 left single quote (also ext ASCII 0x91)
62 // ’ U+2019 8217 e2 80 99 right single quote (also ext ASCII 0x92)
63 // ‛ U+201b 8219 e2 80 9b reversed-9 single quote
64 // ʹ U+02b9 697 ca b9 modifier letter prime
65 // ˊ U+02ca 714 cb 8a modifier letter acute accent
66 // ˋ U+02cb 715 cb 8b modifier letter grave accent
67
68 // SECONDS
69 // " U+0022 34 22 quotation mark
70 // ″ U+2033 8243 e2 80 b3 double prime
71 // ‶ U+2036 8246 e2 80 b6 reversed double prime
72 // ˝ U+02dd 733 cb 9d double acute accent
73 // “ U+201c 8220 e2 80 9c left double quote (also ext ASCII 0x93)
74 // ” U+201d 8221 e2 80 9d right double quote (also ext ASCII 0x94)
75 // ‟ U+201f 8223 e2 80 9f reversed-9 double quote
76 // ʺ U+02ba 698 ca ba modifier letter double prime
77
78 // PLUS
79 // + U+002b 43 2b plus sign
80 // ➕ U+2795 10133 e2 9e 95 heavy plus
81 // U+2064 8292 e2 81 a4 invisible plus |⁤|
82
83 // MINUS
84 // - U+002d 45 2d hyphen
85 // ‐ U+2010 8208 e2 80 90 dash
86 // ‑ U+2011 8209 e2 80 91 non-breaking hyphen
87 // – U+2013 8211 e2 80 93 en dash (also ext ASCII 0x96)
88 // — U+2014 8212 e2 80 94 em dash (also ext ASCII 0x97)
89 // − U+2212 8722 e2 88 92 minus sign
90 // ➖ U+2796 10134 e2 9e 96 heavy minus
91
92 // IGNORED
93 //   U+00a0 160 c2 a0 non-breaking space
94 // U+2007 8199 e2 80 87 figure space | |
95 // U+2009 8201 e2 80 89 thin space | |
96 // U+200a 8202 e2 80 8a hair space | |
97 // U+200b 8203 e2 80 8b invisible space |​|
98 //   U+202f 8239 e2 80 af narrow space | |
99 // U+2063 8291 e2 81 a3 invisible separator |⁣|
100 // « U+00ab 171 c2 ab left guillemot (for cgi-bin)
101 // » U+00bb 187 c2 bb right guillemot (for cgi-bin)
102
103 string dmsa = dms;
104 replace(dmsa, "\xc2\xb0", 'd' ); // U+00b0 degree symbol
105 replace(dmsa, "\xc2\xba", 'd' ); // U+00ba alt symbol
106 replace(dmsa, "\xe2\x81\xb0", 'd' ); // U+2070 sup zero
107 replace(dmsa, "\xcb\x9a", 'd' ); // U+02da ring above
108 replace(dmsa, "\xe2\x88\x98", 'd' ); // U+2218 compose function
109
110 replace(dmsa, "\xe2\x80\xb2", '\''); // U+2032 prime
111 replace(dmsa, "\xe2\x80\xb5", '\''); // U+2035 back prime
112 replace(dmsa, "\xc2\xb4", '\''); // U+00b4 acute accent
113 replace(dmsa, "\xe2\x80\x98", '\''); // U+2018 left single quote
114 replace(dmsa, "\xe2\x80\x99", '\''); // U+2019 right single quote
115 replace(dmsa, "\xe2\x80\x9b", '\''); // U+201b reversed-9 single quote
116 replace(dmsa, "\xca\xb9", '\''); // U+02b9 modifier letter prime
117 replace(dmsa, "\xcb\x8a", '\''); // U+02ca modifier letter acute accent
118 replace(dmsa, "\xcb\x8b", '\''); // U+02cb modifier letter grave accent
119
120 replace(dmsa, "\xe2\x80\xb3", '"' ); // U+2033 double prime
121 replace(dmsa, "\xe2\x80\xb6", '"' ); // U+2036 reversed double prime
122 replace(dmsa, "\xcb\x9d", '"' ); // U+02dd double acute accent
123 replace(dmsa, "\xe2\x80\x9c", '"' ); // U+201c left double quote
124 replace(dmsa, "\xe2\x80\x9d", '"' ); // U+201d right double quote
125 replace(dmsa, "\xe2\x80\x9f", '"' ); // U+201f reversed-9 double quote
126 replace(dmsa, "\xca\xba", '"' ); // U+02ba modifier letter double prime
127
128 replace(dmsa, "\xe2\x9e\x95", '+' ); // U+2795 heavy plus
129 replace(dmsa, "\xe2\x81\xa4", '+' ); // U+2064 invisible plus
130
131 replace(dmsa, "\xe2\x80\x90", '-' ); // U+2010 dash
132 replace(dmsa, "\xe2\x80\x91", '-' ); // U+2011 non-breaking hyphen
133 replace(dmsa, "\xe2\x80\x93", '-' ); // U+2013 en dash
134 replace(dmsa, "\xe2\x80\x94", '-' ); // U+2014 em dash
135 replace(dmsa, "\xe2\x88\x92", '-' ); // U+2212 minus sign
136 replace(dmsa, "\xe2\x9e\x96", '-' ); // U+2796 heavy minus
137
138 replace(dmsa, "\xc2\xa0", '\0'); // U+00a0 non-breaking space
139 replace(dmsa, "\xe2\x80\x87", '\0'); // U+2007 figure space
140 replace(dmsa, "\xe2\x80\x89", '\0'); // U+2007 thin space
141 replace(dmsa, "\xe2\x80\x8a", '\0'); // U+200a hair space
142 replace(dmsa, "\xe2\x80\x8b", '\0'); // U+200b invisible space
143 replace(dmsa, "\xe2\x80\xaf", '\0'); // U+202f narrow space
144 replace(dmsa, "\xe2\x81\xa3", '\0'); // U+2063 invisible separator
145
146 replace(dmsa, "\xb0", 'd' ); // 0xb0 bare degree symbol
147 replace(dmsa, "\xba", 'd' ); // 0xba bare alt symbol
148 replace(dmsa, "*", 'd' ); // GRiD symbol for degree
149 replace(dmsa, "`", '\''); // grave accent
150 replace(dmsa, "\xb4", '\''); // 0xb4 bare acute accent
151 // Don't implement these alternatives; they are only relevant for cgi-bin
152 // replace(dmsa, "\x91", '\''); // 0x91 ext ASCII left single quote
153 // replace(dmsa, "\x92", '\''); // 0x92 ext ASCII right single quote
154 // replace(dmsa, "\x93", '"' ); // 0x93 ext ASCII left double quote
155 // replace(dmsa, "\x94", '"' ); // 0x94 ext ASCII right double quote
156 // replace(dmsa, "\x96", '-' ); // 0x96 ext ASCII en dash
157 // replace(dmsa, "\x97", '-' ); // 0x97 ext ASCII em dash
158 replace(dmsa, "\xa0", '\0'); // 0xa0 bare non-breaking space
159 replace(dmsa, "''", '"' ); // '' -> "
160 string::size_type
161 beg = 0,
162 end = unsigned(dmsa.size());
163 while (beg < end && isspace(dmsa[beg]))
164 ++beg;
165 while (beg < end && isspace(dmsa[end - 1]))
166 --end;
167 // The trimmed string in [beg, end)
168 real v = -0.0; // So "-0" returns -0.0
169 int i = 0;
170 flag ind1 = NONE;
171 // p is pointer to the next piece that needs decoding
172 for (string::size_type p = beg, pb; p < end; p = pb, ++i) {
173 string::size_type pa = p;
174 // Skip over initial hemisphere letter (for i == 0)
175 if (i == 0 && Utility::lookup(hemispheres_, dmsa[pa]) >= 0)
176 ++pa;
177 // Skip over initial sign (checking for it if i == 0)
178 if (i > 0 || (pa < end && Utility::lookup(signs_, dmsa[pa]) >= 0))
179 ++pa;
180 // Find next sign
181 pb = min(dmsa.find_first_of(signs_, pa), end);
182 flag ind2 = NONE;
183 v += InternalDecode(dmsa.substr(p, pb - p), ind2);
184 if (ind1 == NONE)
185 ind1 = ind2;
186 else if (!(ind2 == NONE || ind1 == ind2))
187 throw GeographicErr("Incompatible hemisphere specifier in " +
188 dmsa.substr(beg, pb - beg));
189 }
190 if (i == 0)
191 throw GeographicErr("Empty or incomplete DMS string " +
192 dmsa.substr(beg, end - beg));
193 ind = ind1;
194 return v;
195 }
196
197 Math::real DMS::InternalDecode(const string& dmsa, flag& ind) {
198 const int maxcomponents = 3;
199 string errormsg;
200 do { // Executed once (provides the ability to break)
201 int sign = 1;
202 unsigned
203 beg = 0,
204 end = unsigned(dmsa.size());
205 flag ind1 = NONE;
206 int k = -1;
207 if (end > beg && (k = Utility::lookup(hemispheres_, dmsa[beg])) >= 0) {
208 ind1 = (k / 2) ? LONGITUDE : LATITUDE;
209 sign = k % 2 ? 1 : -1;
210 ++beg;
211 }
212 if (end > beg && (k = Utility::lookup(hemispheres_, dmsa[end-1])) >= 0) {
213 if (k >= 0) {
214 if (ind1 != NONE) {
215 if (toupper(dmsa[beg - 1]) == toupper(dmsa[end - 1]))
216 errormsg = "Repeated hemisphere indicators "
217 + Utility::str(dmsa[beg - 1])
218 + " in " + dmsa.substr(beg - 1, end - beg + 1);
219 else
220 errormsg = "Contradictory hemisphere indicators "
221 + Utility::str(dmsa[beg - 1]) + " and "
222 + Utility::str(dmsa[end - 1]) + " in "
223 + dmsa.substr(beg - 1, end - beg + 1);
224 break;
225 }
226 ind1 = (k / 2) ? LONGITUDE : LATITUDE;
227 sign = k % 2 ? 1 : -1;
228 --end;
229 }
230 }
231 if (end > beg && (k = Utility::lookup(signs_, dmsa[beg])) >= 0) {
232 if (k >= 0) {
233 sign *= k ? 1 : -1;
234 ++beg;
235 }
236 }
237 if (end == beg) {
238 errormsg = "Empty or incomplete DMS string " + dmsa;
239 break;
240 }
241 real ipieces[maxcomponents] = {0, 0, 0};
242 real fpieces[maxcomponents] = {0, 0, 0};
243 unsigned npiece = 0;
244 real icurrent = 0;
245 real fcurrent = 0;
246 unsigned ncurrent = 0, p = beg;
247 bool pointseen = false;
248 unsigned digcount = 0, intcount = 0;
249 while (p < end) {
250 char x = dmsa[p++];
251 if ((k = Utility::lookup(digits_, x)) >= 0) {
252 ++ncurrent;
253 if (digcount > 0)
254 ++digcount; // Count of decimal digits
255 else {
256 icurrent = 10 * icurrent + k;
257 ++intcount;
258 }
259 } else if (x == '.') {
260 if (pointseen) {
261 errormsg = "Multiple decimal points in "
262 + dmsa.substr(beg, end - beg);
263 break;
264 }
265 pointseen = true;
266 digcount = 1;
267 } else if ((k = Utility::lookup(dmsindicators_, x)) >= 0) {
268 if (k >= maxcomponents) {
269 if (p == end) {
270 errormsg = "Illegal for : to appear at the end of " +
271 dmsa.substr(beg, end - beg);
272 break;
273 }
274 k = npiece;
275 }
276 if (unsigned(k) == npiece - 1) {
277 errormsg = "Repeated " + string(components_[k]) +
278 " component in " + dmsa.substr(beg, end - beg);
279 break;
280 } else if (unsigned(k) < npiece) {
281 errormsg = string(components_[k]) + " component follows "
282 + string(components_[npiece - 1]) + " component in "
283 + dmsa.substr(beg, end - beg);
284 break;
285 }
286 if (ncurrent == 0) {
287 errormsg = "Missing numbers in " + string(components_[k]) +
288 " component of " + dmsa.substr(beg, end - beg);
289 break;
290 }
291 if (digcount > 0) {
292 istringstream s(dmsa.substr(p - intcount - digcount - 1,
293 intcount + digcount));
294 s >> fcurrent;
295 icurrent = 0;
296 }
297 ipieces[k] = icurrent;
298 fpieces[k] = icurrent + fcurrent;
299 if (p < end) {
300 npiece = k + 1;
301 if (npiece >= maxcomponents) {
302 errormsg = "More than 3 DMS components in "
303 + dmsa.substr(beg, end - beg);
304 break;
305 }
306 icurrent = fcurrent = 0;
307 ncurrent = digcount = intcount = 0;
308 }
309 } else if (Utility::lookup(signs_, x) >= 0) {
310 errormsg = "Internal sign in DMS string "
311 + dmsa.substr(beg, end - beg);
312 break;
313 } else {
314 errormsg = "Illegal character " + Utility::str(x) + " in DMS string "
315 + dmsa.substr(beg, end - beg);
316 break;
317 }
318 }
319 if (!errormsg.empty())
320 break;
321 if (Utility::lookup(dmsindicators_, dmsa[p - 1]) < 0) {
322 if (npiece >= maxcomponents) {
323 errormsg = "Extra text following seconds in DMS string "
324 + dmsa.substr(beg, end - beg);
325 break;
326 }
327 if (ncurrent == 0) {
328 errormsg = "Missing numbers in trailing component of "
329 + dmsa.substr(beg, end - beg);
330 break;
331 }
332 if (digcount > 0) {
333 istringstream s(dmsa.substr(p - intcount - digcount,
334 intcount + digcount));
335 s >> fcurrent;
336 icurrent = 0;
337 }
338 ipieces[npiece] = icurrent;
339 fpieces[npiece] = icurrent + fcurrent;
340 }
341 if (pointseen && digcount == 0) {
342 errormsg = "Decimal point in non-terminal component of "
343 + dmsa.substr(beg, end - beg);
344 break;
345 }
346 // Note that we accept 59.999999... even though it rounds to 60.
347 if (ipieces[1] >= Math::dm || fpieces[1] > Math::dm ) {
348 errormsg = "Minutes " + Utility::str(fpieces[1])
349 + " not in range [0, " + to_string(Math::dm) + ")";
350 break;
351 }
352 if (ipieces[2] >= Math::ms || fpieces[2] > Math::ms) {
353 errormsg = "Seconds " + Utility::str(fpieces[2])
354 + " not in range [0, " + to_string(Math::ms) + ")";
355 break;
356 }
357 ind = ind1;
358 // Assume check on range of result is made by calling routine (which
359 // might be able to offer a better diagnostic).
360 return real(sign) *
361 ( fpieces[2] != 0 ?
362 (Math::ms*(Math::dm*fpieces[0] + fpieces[1]) + fpieces[2])/Math::ds :
363 ( fpieces[1] != 0 ?
364 (Math::dm*fpieces[0] + fpieces[1]) / Math::dm : fpieces[0] ) );
365 } while (false);
366 real val = Utility::nummatch<real>(dmsa);
367 if (val == 0)
368 throw GeographicErr(errormsg);
369 else
370 ind = NONE;
371 return val;
372 }
373
374 void DMS::DecodeLatLon(const string& stra, const string& strb,
375 real& lat, real& lon,
376 bool longfirst) {
377 real a, b;
378 flag ia, ib;
379 a = Decode(stra, ia);
380 b = Decode(strb, ib);
381 if (ia == NONE && ib == NONE) {
382 // Default to lat, long unless longfirst
383 ia = longfirst ? LONGITUDE : LATITUDE;
384 ib = longfirst ? LATITUDE : LONGITUDE;
385 } else if (ia == NONE)
386 ia = flag(LATITUDE + LONGITUDE - ib);
387 else if (ib == NONE)
388 ib = flag(LATITUDE + LONGITUDE - ia);
389 if (ia == ib)
390 throw GeographicErr("Both " + stra + " and "
391 + strb + " interpreted as "
392 + (ia == LATITUDE ? "latitudes" : "longitudes"));
393 real
394 lat1 = ia == LATITUDE ? a : b,
395 lon1 = ia == LATITUDE ? b : a;
396 if (fabs(lat1) > Math::qd)
397 throw GeographicErr("Latitude " + Utility::str(lat1)
398 + "d not in [-" + to_string(Math::qd)
399 + "d, " + to_string(Math::qd) + "d]");
400 lat = lat1;
401 lon = lon1;
402 }
403
404 Math::real DMS::DecodeAngle(const string& angstr) {
405 flag ind;
406 real ang = Decode(angstr, ind);
407 if (ind != NONE)
408 throw GeographicErr("Arc angle " + angstr
409 + " includes a hemisphere, N/E/W/S");
410 return ang;
411 }
412
413 Math::real DMS::DecodeAzimuth(const string& azistr) {
414 flag ind;
415 real azi = Decode(azistr, ind);
416 if (ind == LATITUDE)
417 throw GeographicErr("Azimuth " + azistr
418 + " has a latitude hemisphere, N/S");
419 return Math::AngNormalize(azi);
420 }
421
422 string DMS::Encode(real angle, component trailing, unsigned prec, flag ind,
423 char dmssep) {
424 // Assume check on range of input angle has been made by calling
425 // routine (which might be able to offer a better diagnostic).
426 if (!isfinite(angle))
427 return angle < 0 ? string("-inf") :
428 (angle > 0 ? string("inf") : string("nan"));
429
430 // 15 - 2 * trailing = ceiling(log10(2^53/90/60^trailing)).
431 // This suffices to give full real precision for numbers in [-90,90]
432 prec = min(15 + Math::extra_digits() - 2 * unsigned(trailing), prec);
433 real scale = trailing == MINUTE ? Math::dm :
434 (trailing == SECOND ? Math::ds : 1);
435 if (ind == AZIMUTH) {
436 angle = Math::AngNormalize(angle);
437 // Only angles strictly less than 0 can become 360; since +/-180 are
438 // folded together, we convert -0 to +0 (instead of 360).
439 if (angle < 0)
440 angle += Math::td;
441 else
442 angle = Math::real(0) + angle;
443 }
444 int sign = signbit(angle) ? -1 : 1;
445 angle *= sign;
446
447 // Break off integer part to preserve precision and avoid overflow in
448 // manipulation of fractional part for MINUTE and SECOND
449 real
450 idegree = trailing == DEGREE ? 0 : floor(angle),
451 fdegree = (angle - idegree) * scale;
452 string s = Utility::str(fdegree, prec), degree, minute, second;
453 switch (trailing) {
454 case DEGREE:
455 degree = s;
456 break;
457 default: // case MINUTE: case SECOND:
458 string::size_type p = s.find_first_of('.');
459 long long i;
460 if (p == 0)
461 i = 0;
462 else {
463 i = stoll(s);
464 if (p == string::npos)
465 s.clear();
466 else
467 s = s.substr(p);
468 }
469 // Now i in [0,Math::dm] or [0,Math::ds] for MINUTE/DEGREE
470 switch (trailing) {
471 case MINUTE:
472 minute = to_string(i % Math::dm) + s; i /= Math::dm;
473 degree = Utility::str(i + idegree, 0); // no overflow since i in [0,1]
474 break;
475 default: // case SECOND:
476 second = to_string(i % Math::ms) + s; i /= Math::ms;
477 minute = to_string(i % Math::dm) ; i /= Math::dm;
478 degree = Utility::str(i + idegree, 0); // no overflow since i in [0,1]
479 break;
480 }
481 break;
482 }
483 // No glue together degree+minute+second with
484 // sign + zero-fill + delimiters + hemisphere
485 ostringstream str;
486 if (prec) ++prec; // Extra width for decimal point
487 if (ind == NONE && sign < 0)
488 str << '-';
489 str << setfill('0');
490 switch (trailing) {
491 case DEGREE:
492 if (ind != NONE)
493 str << setw(1 + min(int(ind), 2) + prec);
494 str << degree;
495 // Don't include degree designator (d) if it is the trailing component.
496 break;
497 case MINUTE:
498 if (ind != NONE)
499 str << setw(1 + min(int(ind), 2));
500 str << degree << (dmssep ? dmssep : char(tolower(dmsindicators_[0])))
501 << setw(2 + prec) << minute;
502 if (!dmssep)
503 str << char(tolower(dmsindicators_[1]));
504 break;
505 default: // case SECOND:
506 if (ind != NONE)
507 str << setw(1 + min(int(ind), 2));
508 str << degree << (dmssep ? dmssep : char(tolower(dmsindicators_[0])))
509 << setw(2)
510 << minute << (dmssep ? dmssep : char(tolower(dmsindicators_[1])))
511 << setw(2 + prec) << second;
512 if (!dmssep)
513 str << char(tolower(dmsindicators_[2]));
514 break;
515 }
516 if (ind != NONE && ind != AZIMUTH)
517 str << hemispheres_[(ind == LATITUDE ? 0 : 2) + (sign < 0 ? 0 : 1)];
518 return str.str();
519 }
520
521} // namespace GeographicLib
DMS.hpp
Header for GeographicLib::DMS class.
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::DecodeAzimuth
static Math::real DecodeAzimuth(const std::string &azistr)
Definition DMS.cpp:413
GeographicLib::DMS::DecodeAngle
static Math::real DecodeAngle(const std::string &angstr)
Definition DMS.cpp:404
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::DecodeLatLon
static void DecodeLatLon(const std::string &dmsa, const std::string &dmsb, real &lat, real &lon, bool longfirst=false)
Definition DMS.cpp:374
GeographicLib::DMS::Decode
static Math::real Decode(const std::string &dms, flag &ind)
Definition DMS.cpp:40
GeographicLib::GeographicErr
Exception handling for GeographicLib.
Definition Constants.hpp:344
GeographicLib::Math::dm
static constexpr int dm
minutes per degree
Definition Math.hpp:143
GeographicLib::Math::ds
static constexpr int ds
seconds per degree
Definition Math.hpp:147
GeographicLib::Math::qd
static constexpr int qd
degrees per quarter turn
Definition Math.hpp:142
GeographicLib::Math::AngNormalize
static T AngNormalize(T x)
Definition Math.cpp:69
GeographicLib::Math::td
static constexpr int td
degrees per turn
Definition Math.hpp:146
GeographicLib::Math::ms
static constexpr int ms
seconds per minute
Definition Math.hpp:144
GeographicLib::Math::extra_digits
static int extra_digits()
Definition Math.cpp:49
GeographicLib::Utility::lookup
static int lookup(const std::string &s, char c)
Definition Utility.cpp:160
GeographicLib::Utility::nummatch
static T nummatch(const std::string &s)
Definition Utility.hpp:260
GeographicLib::Utility::str
static std::string str(T x, int p=-1)
Definition Utility.hpp:161
GeographicLib
Namespace for GeographicLib.
Definition Accumulator.cpp:12