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DMS.hpp
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/**
* \file DMS.hpp
* \brief Header for GeographicLib::DMS class
*
* Copyright (c) Charles Karney (2008-2022) <karney@alum.mit.edu> and licensed
* under the MIT/X11 License. For more information, see
* https://geographiclib.sourceforge.io/
**********************************************************************/
#if !defined(GEOGRAPHICLIB_DMS_HPP)
#define GEOGRAPHICLIB_DMS_HPP 1
#include <GeographicLib/Constants.hpp>
#include <GeographicLib/Utility.hpp>
#if defined(_MSC_VER)
// Squelch warnings about unrepresentable characters
# pragma warning (push)
# pragma warning (disable: 4819)
#endif
namespace GeographicLib {
/**
* \brief Convert between degrees and the %DMS representation
*
* Parse a string representing degree, minutes, and seconds and return the
* angle in degrees and format an angle in degrees as degree, minutes, and
* seconds. In addition, handle NANs and infinities on input and output.
*
* Example of use:
* \include example-DMS.cpp
**********************************************************************/
class GEOGRAPHICLIB_EXPORT DMS {
public:
/**
* Indicator for presence of hemisphere indicator (N/S/E/W) on latitudes
* and longitudes.
**********************************************************************/
enum flag {
/**
* No indicator present.
* @hideinitializer
**********************************************************************/
NONE = 0,
/**
* Latitude indicator (N/S) present.
* @hideinitializer
**********************************************************************/
LATITUDE = 1,
/**
* Longitude indicator (E/W) present.
* @hideinitializer
**********************************************************************/
LONGITUDE = 2,
/**
* Used in Encode to indicate output of an azimuth in [000, 360) with no
* letter indicator.
* @hideinitializer
**********************************************************************/
AZIMUTH = 3,
/**
* Used in Encode to indicate output of a plain number.
* @hideinitializer
**********************************************************************/
NUMBER = 4,
};
/**
* Indicator for trailing units on an angle.
**********************************************************************/
enum component {
/**
* Trailing unit is degrees.
* @hideinitializer
**********************************************************************/
DEGREE = 0,
/**
* Trailing unit is arc minutes.
* @hideinitializer
**********************************************************************/
MINUTE = 1,
/**
* Trailing unit is arc seconds.
* @hideinitializer
**********************************************************************/
SECOND = 2,
};
private:
typedef Math::real real;
// Replace all occurrences of pat by c. If c is NULL remove pat.
static void replace(std::string& s, const std::string& pat, char c);
static const char* const hemispheres_;
static const char* const signs_;
static const char* const digits_;
static const char* const dmsindicators_;
static const char* const components_[3];
static Math::real NumMatch(const std::string& s);
static Math::real InternalDecode(const std::string& dmsa, flag& ind);
DMS() = delete; // Disable constructor
public:
/**
* Convert a string in DMS to an angle.
*
* @param[in] dms string input.
* @param[out] ind a DMS::flag value signaling the presence of a
* hemisphere indicator.
* @exception GeographicErr if \e dms is malformed (see below).
* @return angle (degrees).
*
* Degrees, minutes, and seconds are indicated by the characters d, '
* (single quote), &quot; (double quote), and these components may only be
* given in this order. Any (but not all) components may be omitted and
* other symbols (e.g., the &deg; symbol for degrees and the unicode prime
* and double prime symbols for minutes and seconds) may be substituted;
* two single quotes can be used instead of &quot;. The last component
* indicator may be omitted and is assumed to be the next smallest unit
* (thus 33d10 is interpreted as 33d10'). The final component may be a
* decimal fraction but the non-final components must be integers. Instead
* of using d, ', and &quot; to indicate degrees, minutes, and seconds, :
* (colon) may be used to <i>separate</i> these components (numbers must
* appear before and after each colon); thus 50d30'10.3&quot; may be
* written as 50:30:10.3, 5.5' may be written 0:5.5, and so on. The
* integer parts of the minutes and seconds components must be less
* than 60. A single leading sign is permitted. A hemisphere designator
* (N, E, W, S) may be added to the beginning or end of the string. The
* result is multiplied by the implied sign of the hemisphere designator
* (negative for S and W). In addition \e ind is set to DMS::LATITUDE if N
* or S is present, to DMS::LONGITUDE if E or W is present, and to
* DMS::NONE otherwise. Leading and trailing whitespace is removed from
* the string before processing. This routine throws an error on a
* malformed string. No check is performed on the range of the result.
* Examples of legal and illegal strings are
* - <i>LEGAL</i> (all the entries on each line are equivalent)
* - -20.51125, 20d30'40.5&quot;S, -20&deg;30'40.5, -20d30.675,
* N-20d30'40.5&quot;, -20:30:40.5
* - 4d0'9, 4d9&quot;, 4d9'', 4:0:9, 004:00:09, 4.0025, 4.0025d, 4d0.15,
* 04:.15
* - 4:59.99999999999999, 4:60.0, 4:59:59.9999999999999, 4:59:60.0, 5
* - <i>ILLEGAL</i> (the exception thrown explains the problem)
* - 4d5&quot;4', 4::5, 4:5:, :4:5, 4d4.5'4&quot;, -N20.5, 1.8e2d, 4:60,
* 4:59:60
*
* The decoding operation can also perform addition and subtraction
* operations. If the string includes <i>internal</i> signs (i.e., not at
* the beginning nor immediately after an initial hemisphere designator),
* then the string is split immediately before such signs and each piece is
* decoded according to the above rules and the results added; thus
* <code>S3-2.5+4.1N</code> is parsed as the sum of <code>S3</code>,
* <code>-2.5</code>, <code>+4.1N</code>. Any piece can include a
* hemisphere designator; however, if multiple designators are given, they
* must compatible; e.g., you cannot mix N and E. In addition, the
* designator can appear at the beginning or end of the first piece, but
* must be at the end of all subsequent pieces (a hemisphere designator is
* not allowed after the initial sign). Examples of legal and illegal
* combinations are
* - <i>LEGAL</i> (these are all equivalent)
* - -070:00:45, 70:01:15W+0:0.5, 70:01:15W-0:0:30W, W70:01:15+0:0:30E
* - <i>ILLEGAL</i> (the exception thrown explains the problem)
* - 70:01:15W+0:0:15N, W70:01:15+W0:0:15
*
* \warning The "exponential" notation is not recognized. Thus
* <code>7.0E1</code> is illegal, while <code>7.0E+1</code> is parsed as
* <code>(7.0E) + (+1)</code>, yielding the same result as
* <code>8.0E</code>.
*
* \note At present, all the string handling in the C++ implementation of
* %GeographicLib is with 8-bit characters. The support for unicode
* symbols for degrees, minutes, and seconds is therefore via the
* <a href="https://en.wikipedia.org/wiki/UTF-8">UTF-8</a> encoding. (The
* JavaScript implementation of this class uses unicode natively, of
* course.)
*
* Here is the list of Unicode symbols supported for degrees, minutes,
* seconds, and the plus and minus signs; various symbols denoting variants
* of a space, which may separate the components of a DMS string, are
* removed:
* - degrees:
* - d, D lower and upper case letters
* - U+00b0 degree symbol (&deg;)
* - U+00ba masculine ordinal indicator (&ordm;)
* - U+2070 superscript zero (⁰)
* - U+02da ring above (˚)
* - U+2218 compose function (∘)
* - * the <a href="https://grid.nga.mil">GRiD</a> symbol for degrees
* - minutes:
* - ' apostrophe
* - ` grave accent
* - U+2032 prime (&prime;)
* - U+2035 back prime (‵)
* - U+00b4 acute accent (&acute;)
* - U+2018 left single quote (&lsquo;)
* - U+2019 right single quote (&rsquo;)
* - U+201b reversed-9 single quote (‛)
* - U+02b9 modifier letter prime (ʹ)
* - U+02ca modifier letter acute accent (ˊ)
* - U+02cb modifier letter grave accent (ˋ)
* - seconds:
* - &quot; quotation mark
* - U+2033 double prime (&Prime;)
* - U+2036 reversed double prime (‶)
* + U+02dd double acute accent (˝)
* - U+201c left double quote (&ldquo;)
* - U+201d right double quote (&rdquo;)
* - U+201f reversed-9 double quote (‟)
* - U+02ba modifier letter double prime (ʺ)
* - '&thinsp;' any two consecutive symbols for minutes
* - plus sign:
* - + plus
* - U+2795 heavy plus (➕)
* - U+2064 invisible plus (|⁤|)
* - minus sign:
* - - hyphen
* - U+2010 dash (‐)
* - U+2011 non-breaking hyphen (‑)
* - U+2013 en dash (&ndash;)
* - U+2014 em dash (&mdash;)
* - U+2212 minus sign (&minus;)
* - U+2796 heavy minus (➖)
* - ignored spaces:
* - U+00a0 non-breaking space
* - U+2007 figure space (| |)
* - U+2009 thin space (|&thinsp;|)
* - U+200a hair space ( | |)
* - U+200b invisible space (|​|)
* - U+202f narrow space ( | |)
* - U+2063 invisible separator (|⁣|)
* .
* The codes with a leading zero byte, e.g., U+00b0, are accepted in their
* UTF-8 coded form 0xc2 0xb0 and as a single byte 0xb0.
**********************************************************************/
static Math::real Decode(const std::string& dms, flag& ind);
/**
* Convert DMS to an angle.
*
* @param[in] d degrees.
* @param[in] m arc minutes.
* @param[in] s arc seconds.
* @return angle (degrees)
*
* This does not propagate the sign on \e d to the other components,
* so -3d20' would need to be represented as - DMS::Decode(3.0, 20.0) or
* DMS::Decode(-3.0, -20.0).
**********************************************************************/
static Math::real Decode(real d, real m = 0, real s = 0)
{ return d + (m + s / real(Math::ms)) / real(Math::dm); }
/**
* Convert a pair of strings to latitude and longitude.
*
* @param[in] dmsa first string.
* @param[in] dmsb second string.
* @param[out] lat latitude (degrees).
* @param[out] lon longitude (degrees).
* @param[in] longfirst if true assume longitude is given before latitude
* in the absence of hemisphere designators (default false).
* @exception GeographicErr if \e dmsa or \e dmsb is malformed.
* @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as
* latitudes.
* @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as
* longitudes.
* @exception GeographicErr if decoded latitude is not in [&minus;90&deg;,
* 90&deg;].
*
* By default, the \e lat (resp., \e lon) is assigned to the results of
* decoding \e dmsa (resp., \e dmsb). However this is overridden if either
* \e dmsa or \e dmsb contain a latitude or longitude hemisphere designator
* (N, S, E, W). If an exception is thrown, \e lat and \e lon are
* unchanged.
**********************************************************************/
static void DecodeLatLon(const std::string& dmsa, const std::string& dmsb,
real& lat, real& lon,
bool longfirst = false);
/**
* Convert a string to an angle in degrees.
*
* @param[in] angstr input string.
* @exception GeographicErr if \e angstr is malformed.
* @exception GeographicErr if \e angstr includes a hemisphere designator.
* @return angle (degrees)
*
* No hemisphere designator is allowed and no check is done on the range of
* the result.
**********************************************************************/
static Math::real DecodeAngle(const std::string& angstr);
/**
* Convert a string to an azimuth in degrees.
*
* @param[in] azistr input string.
* @exception GeographicErr if \e azistr is malformed.
* @exception GeographicErr if \e azistr includes a N/S designator.
* @return azimuth (degrees) reduced to the range [&minus;180&deg;,
* 180&deg;].
*
* A hemisphere designator E/W can be used; the result is multiplied by
* &minus;1 if W is present.
**********************************************************************/
static Math::real DecodeAzimuth(const std::string& azistr);
/**
* Convert angle (in degrees) into a DMS string (using d, ', and &quot;).
*
* @param[in] angle input angle (degrees)
* @param[in] trailing DMS::component value indicating the trailing units
* of the string (this component is given as a decimal number if
* necessary).
* @param[in] prec the number of digits after the decimal point for the
* trailing component.
* @param[in] ind DMS::flag value indicating additional formatting.
* @param[in] dmssep if non-null, use as the DMS separator character
* (instead of d, ', &quot; delimiters).
* @exception std::bad_alloc if memory for the string can't be allocated.
* @return formatted string
*
* The interpretation of \e ind is as follows:
* - ind == DMS::NONE, signed result no leading zeros on degrees except in
* the units place, e.g., -8d03'.
* - ind == DMS::LATITUDE, trailing N or S hemisphere designator, no sign,
* pad degrees to 2 digits, e.g., 08d03'S.
* - ind == DMS::LONGITUDE, trailing E or W hemisphere designator, no
* sign, pad degrees to 3 digits, e.g., 008d03'W.
* - ind == DMS::AZIMUTH, convert to the range [0, 360&deg;), no
* sign, pad degrees to 3 digits, e.g., 351d57'.
* .
* The integer parts of the minutes and seconds components are always given
* with 2 digits.
**********************************************************************/
static std::string Encode(real angle, component trailing, unsigned prec,
flag ind = NONE, char dmssep = char(0));
/**
* Convert angle into a DMS string (using d, ', and &quot;) selecting the
* trailing component based on the precision.
*
* @param[in] angle input angle (degrees)
* @param[in] prec the precision relative to 1 degree.
* @param[in] ind DMS::flag value indicated additional formatting.
* @param[in] dmssep if non-null, use as the DMS separator character
* (instead of d, ', &quot; delimiters).
* @exception std::bad_alloc if memory for the string can't be allocated.
* @return formatted string
*
* \e prec indicates the precision relative to 1 degree, e.g., \e prec = 3
* gives a result accurate to 0.1' and \e prec = 4 gives a result accurate
* to 1&quot;. \e ind is interpreted as in DMS::Encode with the additional
* facility that DMS::NUMBER represents \e angle as a number in fixed
* format with precision \e prec.
**********************************************************************/
static std::string Encode(real angle, unsigned prec, flag ind = NONE,
char dmssep = char(0)) {
return ind == NUMBER ? Utility::str(angle, int(prec)) :
Encode(angle,
prec < 2 ? DEGREE : (prec < 4 ? MINUTE : SECOND),
prec < 2 ? prec : (prec < 4 ? prec - 2 : prec - 4),
ind, dmssep);
}
/**
* Split angle into degrees and minutes
*
* @param[in] ang angle (degrees)
* @param[out] d degrees (an integer returned as a real)
* @param[out] m arc minutes.
**********************************************************************/
static void Encode(real ang, real& d, real& m) {
d = int(ang); m = real(Math::dm) * (ang - d);
}
/**
* Split angle into degrees and minutes and seconds.
*
* @param[in] ang angle (degrees)
* @param[out] d degrees (an integer returned as a real)
* @param[out] m arc minutes (an integer returned as a real)
* @param[out] s arc seconds.
**********************************************************************/
static void Encode(real ang, real& d, real& m, real& s) {
d = int(ang); ang = real(Math::dm) * (ang - d);
m = int(ang); s = real(Math::ms) * (ang - m);
}
};
} // namespace GeographicLib
#if defined(_MSC_VER)
# pragma warning (pop)
#endif
#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