Functions
template<typename T >
T	EGXMath::DegreeToRadian (const T &decimalDegree)
	Converts an angle in (decimal) degrees to radians. \[\alpha_{rad}=\alpha_{deg}\frac{\pi}{180}\] . More...

template<typename T >
T	EGXMath::DegreeToMilliradian (const T &decimalDegree)
	Converts an angle in (decimal) degrees to milliradians. \[\alpha_{mrad}=\alpha_{deg}\frac{\pi}{180}*10^3\] . More...

template<typename T >
T	EGXMath::DegreeToTurn (const T &decimalDegree)
	Converts an angle in (decimal) degree to turn. \[\alpha_{turn}=\alpha_{deg}\frac{1}{360}\] . More...

template<typename T >
T	EGXMath::DegreeToDecimalDegree (const T &decimalDegree)
	Converts an angle in (decimal) degree to decimal degree. \[\alpha_{deg}=\alpha_{deg}\] . More...

template<typename T >
T	EGXMath::DegreeToArcdegree (const T &decimalDegree)
	Converts an angle in (decimal) degree to (decimal) arc degree. \[\alpha_{deg}=\alpha_{deg}\] . More...

template<typename T >
T	EGXMath::DegreeToIntegerDegree (const T &decimalDegree)
	Converts an angle in (decimal) degree to integer degree. This rounds to the nearest integer. \[\alpha_{deg int}=round(\alpha_{deg})\] . More...

template<typename T , typename T2 >
T	EGXMath::DegreeToBinaryDegree (const T &decimalDegree, const T2 &bits=8)
	Converts an angle in (decimal) degree to binary degree (brad). \[\alpha_{deg\ bin}=round(\alpha_{deg}\frac{2^{(n-1)}}{360})\] Where \(n\) is the number of bits avaliable to store the number. \(n\) defaults to 8, the tradiational number for binary degrees. More...

template<typename T >
T	EGXMath::DegreeToArcminute (const T &decimalDegree)
	Converts an angle in (decimal) degree to arcminute. Note that arcminutes are not equal to minutes. \[\alpha_{arcmin}= 60 * \alpha_{deg}\] . More...

template<typename T >
T	EGXMath::DegreeToArcsecond (const T &decimalDegree)
	Converts an angle in (decimal) degree to arcsecond. Note that arcsecond are not equal to seconds. \[\alpha_{arcsec}=60 * 60 * \alpha_{deg}\] . More...

template<typename T >
T	EGXMath::DegreeToMilliarcsecond (const T &decimalDegree)
	Converts an angle in (decimal) degree to milliarcsecond. \[\alpha_{mas}=60 * 60 * 10^3 * \alpha_{deg} \] . More...

template<typename T >
T	EGXMath::DegreeToMicroarcsecond (const T &decimalDegree)
	Converts an angle in (decimal) degree to microarcsecond. \[\alpha_{\mu as}=60 * 60 * 10^6 * \alpha_{deg}\] . More...

template<typename T >
void	EGXMath::DegreeToDegreesMinutesSeconds (const T &decimalDegree, T &integerDegree, T &arcminute, T &arcsecond)
	Converts an angle in (decimal) degree to degrees minutes seconds (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format. \[degree=trun(\alpha_{deg})\] \[arcminute=trun(60 * \|\alpha_{deg} - degree\|)\] \[arcsecond=60 * ((60 * \|\alpha_{deg} - degree\|)-arcminute)\] . More...

template<typename T >
void	EGXMath::DegreeToDMS (const T &decimalDegree, T &integerDegree, T &arcminute, T &arcsecond)
	Converts an angle in (decimal) degree to degrees minutes seconds (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format. \[degree=trun(\alpha_{deg})\] \[arcminute=trun(60 * \|\alpha_{deg} - degree\|)\] \[arcsecond=60 * ((60 * \|\alpha_{deg} - degree\|)-arcminute)\] . More...

template<typename T >
void	EGXMath::DegreeToHoursMinutesSeconds (const T &decimalDegree, T &hour, T &minute, T &second)
	Converts an angle in (decimal) degree to hours minutes seconds (HMS). \({HH}^{h}{MM}^{m}{SS.SS}^{s}\) format. \[hour=trun(\frac{\alpha_{deg}}{15})\] \[minute=trun(60 * \|\frac{\alpha_{deg}}{15} - hour\|)\] \[second=60 * ((60 * \|\frac{\alpha_{deg}}{15} - hour\|)-minute)\] . More...

template<typename T >
void	EGXMath::DegreeToHMS (const T &decimalDegree, T &hour, T &minute, T &second)
	Converts an angle in (decimal) degree to hours minutes seconds (HMS). \({HH}^{h}{MM}^{m}{SS.SS}^{s}\) format. \[hour=trun(\frac{\alpha_{deg}}{15})\] \[minute=trun(60 * \|\frac{\alpha_{deg}}{15} - hour\|)\] \[second=60 * ((60 * \|\frac{\alpha_{deg}}{15} - hour\|)-minute)\] . More...

template<typename T >
T	EGXMath::DegreeToGradian (const T &decimalDegree)
	Converts an angle in (decimal) degree to gradian. \[\alpha_{g}=\alpha_{deg}\frac{10}{9}\] . More...

template<typename T >
T	EGXMath::DegreeToGon (const T &decimalDegree)
	Converts an angle in (decimal) degree to gradians. \[\alpha_{g}=\alpha_{deg}\frac{10}{9}\] . More...

template<typename T >
std::string	EGXMath::DegreeToCompassWind (const T &decimalDegree, const unsigned int winds, const bool abbreviate)
	Converts an angle in (decimal) degree to a n-Wind compass point name. More...

Detailed Description

Function Documentation

◆ DegreeToArcdegree()

template<typename T >

T EGXMath::DegreeToArcdegree ( const T & decimalDegree )

Converts an angle in (decimal) degree to (decimal) arc degree.

\[\alpha_{deg}=\alpha_{deg}\]

.

See https://en.wikipedia.org/wiki/Degree_(angle) and https://en.wikipedia.org/wiki/Decimal_degrees

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{deg}\ (deg)\) is the angle in (decimal) arc degree.

See also: DegreeToDecimalDegree() for alias.; DecimalDegreeToDegree() for alias.; DecimalDegreeToArcdegree() for alias.; DegreeToArcdegree() for conversion from (decimal) degrees.; DecimalDegreeToArcdegree() for conversion from decimal degrees.; RadianToArcdegree() for conversion from radians.; IntegerDegreeToArcdegree() for conversion from integer degrees.; BinaryDegreeToArcdegree() for conversion from binary degrees.; TurnToArcdegree() for conversion from turns.; GradianToArcdegree() for conversion from gradians.; HoursMinutesSecondsToArcdegree() for conversion from hours minutes seconds.; DegreesMinutesSecondsToArcdegree() for conversion from degrees minutes seconds.; CompassWindToArcdegree() for conversion from compass wind.

◆ DegreeToArcminute()

template<typename T >

T EGXMath::DegreeToArcminute ( const T & decimalDegree )

Converts an angle in (decimal) degree to arcminute. Note that arcminutes are not equal to minutes.

\[\alpha_{arcmin}= 60 * \alpha_{deg}\]

.

See https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{arcmin}\ (arcmin)\) is the angle in arcminutes. Note that this is 1/60 of an degree. It is not equal to minutes.

See also: DecimalDegreeToArcminute() for alias.; DegreeToArcminute() for conversion from (decimal) degrees.; DecimalDegreeToArcminute() for conversion from decimal degrees.; RadianToArcminute() for conversion from radians.; IntegerDegreeToArcminute() for conversion from integer degrees.; BinaryDegreeToArcminute() for conversion from binary degrees.; TurnToArcminute() for conversion from turns.; GradianToArcminute() for conversion from gradians.; HoursMinutesSecondsToArcminute() for conversion from hours minutes seconds.; DegreesMinutesSecondsToArcminute() for conversion from degrees minutes seconds.; CompassWindToArcminute() for conversion from compass wind.

◆ DegreeToArcsecond()

template<typename T >

T EGXMath::DegreeToArcsecond ( const T & decimalDegree )

Converts an angle in (decimal) degree to arcsecond. Note that arcsecond are not equal to seconds.

\[\alpha_{arcsec}=60 * 60 * \alpha_{deg}\]

.

See https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{arcsec}\ (arcsec)\) is the angle in arcseconds. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

See also: DecimalDegreeToArcsecond() for alias.; DegreeToArcsecond() for conversion from (decimal) degrees.; DecimalDegreeToArcsecond() for conversion from decimal degrees.; RadianToArcsecond() for conversion from radians.; IntegerDegreeToArcsecond() for conversion from integer degrees.; BinaryDegreeToArcsecond() for conversion from binary degrees.; TurnToArcsecond() for conversion from turns.; GradianToArcsecond() for conversion from gradians.; HoursMinutesSecondsToArcsecond() for conversion from hours minutes seconds.; DegreesMinutesSecondsToArcsecond() for conversion from degrees minutes seconds.; CompassWindToArcsecond() for conversion from compass wind.

◆ DegreeToBinaryDegree()

template<typename T , typename T2 >

T EGXMath::DegreeToBinaryDegree	(	const T &	decimalDegree,
		const T2 &	bits = `8`
	)

Converts an angle in (decimal) degree to binary degree (brad).

\[\alpha_{deg\ bin}=round(\alpha_{deg}\frac{2^{(n-1)}}{360})\]

Where \(n\) is the number of bits avaliable to store the number. \(n\) defaults to 8, the tradiational number for binary degrees.

See https://en.wikipedia.org/wiki/Binary_scaling#Binary_angles and https://www.globalspec.com/reference/14722/160210/Chapter-7-5-3-Binary-Angular-Measure

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
bits	\(n\ (bit)\) is the number of bits avaliable to store the number. Defaults to 8.

Returns: \(\alpha_{deg\ bin}\ (brad)\) is the angle in binary degrees.

See also: DegreeToBinaryDegree() for conversion from (decimal) degrees.; DecimalDegreeToBinaryDegree() for conversion from decimal degrees.; RadianToBinaryDegree() for conversion from radians.; IntegerDegreeToBinaryDegree() for conversion from integer degrees.; BinaryDegreeToBinaryDegree() for conversion from binary degrees.; TurnToBinaryDegree() for conversion from turns.; GradianToBinaryDegree() for conversion from gradians.; HoursMinutesSecondsToBinaryDegree() for conversion from hours minutes seconds.; DegreesMinutesSecondsToBinaryDegree() for conversion from degrees minutes seconds.; CompassWindToBinaryDegree() for conversion from compass wind.

◆ DegreeToCompassWind()

template<typename T >

std::string EGXMath::DegreeToCompassWind	(	const T &	decimalDegree,
		const unsigned int	winds,
		const bool	abbreviate
	)

Converts an angle in (decimal) degree to a n-Wind compass point name.

See https://en.wikipedia.org/wiki/Points_of_the_compass

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
winds	\(winds\ (int)\) The number of points(names) that the compass should have. Must be 2,4,8,16 or 32.
abbreviate	\(abbreviate\ (bool)\) should the compass point name be abbreviated.

Returns: \(point\ name\ (dimensionless)\) is the name of the compass point.

See also: DecimalDegreeToCompassWind() for alias.; RadianToCompassWind() for conversion from radians.; IntegerDegreeToCompassWind() for conversion from integer degrees.; BinaryDegreeToCompassWind() for conversion from binary degrees.; TurnToCompassWind() for conversion from binary degrees.; GradianToCompassWind() for conversion from gradians.; HoursMinutesSecondsToCompassWind() for conversion from hours minutes seconds.; DegreesMinutesSecondsToCompassWind() for conversion from degrees minutes seconds.

◆ DegreeToDecimalDegree()

template<typename T >

T EGXMath::DegreeToDecimalDegree ( const T & decimalDegree )

Converts an angle in (decimal) degree to decimal degree.

\[\alpha_{deg}=\alpha_{deg}\]

.

See https://en.wikipedia.org/wiki/Degree_(angle) and https://en.wikipedia.org/wiki/Decimal_degrees

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degree.

Returns: \(\alpha_{deg}\ (deg)\) is the angle in decimal degree.

See also: DegreeToDegree() for alias.; DegreeToArcdegree() for alias.; DecimalDegreeToDegree() for alias.; DecimalDegreeToArcdegree() for alias.; DegreeToDecimalDegree() for conversion from (decimal) degrees.; DecimalDegreeToDecimalDegree() for conversion from decimal degrees.; RadianToDecimalDegree() for conversion from radians.; IntegerDegreeToDecimalDegree() for conversion from integer degrees.; BinaryDegreeToDecimalDegree() for conversion from binary degrees.; TurnToDecimalDegree() for conversion from turns.; GradianToDecimalDegree() for conversion from gradians.; HoursMinutesSecondsToDecimalDegree() for conversion from hours minutes seconds.; DegreesMinutesSecondsToDecimalDegree() for conversion from degrees minutes seconds.; CompassWindToDecimalDegree() for conversion from compass wind.

◆ DegreeToDegreesMinutesSeconds()

template<typename T >

void EGXMath::DegreeToDegreesMinutesSeconds	(	const T &	decimalDegree,
		T &	integerDegree,
		T &	arcminute,
		T &	arcsecond
	)

Converts an angle in (decimal) degree to degrees minutes seconds (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format.

\[degree=trun(\alpha_{deg})\]

\[arcminute=trun(60 * |\alpha_{deg} - degree|)\]

\[arcsecond=60 * ((60 * |\alpha_{deg} - degree|)-arcminute)\]

.

Where trunc is the integer truncation command.

See https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
integerDegree	\(degree\ (deg int)\) is the angle in integer degrees.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminutes in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcseconds. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

See also: DegreeToDMS() for alias.; DecimalDegreeToDegreesMinutesSeconds() for alias.; DecimalDegreeToDMS() for alias.; DegreeToDegreesMinutesSeconds() for conversion from (decimal) degrees and full explination.; DecimalDegreeToDegreesMinutesSeconds() for conversion from decimal degrees.; RadianToDegreesMinutesSeconds() for conversion from radians.; IntegerDegreeToDegreesMinutesSeconds() for conversion from integer degrees.; BinaryDegreeToDegreesMinutesSeconds() for conversion from binary degrees.; TurnToDegreesMinutesSeconds() for conversion from turns.; GradianToDegreesMinutesSeconds() for conversion from gradians.; HoursMinutesSecondsToDegreesMinutesSeconds() for conversion from hours minutes seconds.; DegreesMinutesSecondsToDegreesMinutesSecondsS() for conversion from degrees minutes seconds.; CompassWindToDegreesMinutesSeconds() for conversion from compass wind.

◆ DegreeToDMS()

template<typename T >

void EGXMath::DegreeToDMS	(	const T &	decimalDegree,
		T &	integerDegree,
		T &	arcminute,
		T &	arcsecond
	)

Converts an angle in (decimal) degree to degrees minutes seconds (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format.

\[degree=trun(\alpha_{deg})\]

\[arcminute=trun(60 * |\alpha_{deg} - degree|)\]

\[arcsecond=60 * ((60 * |\alpha_{deg} - degree|)-arcminute)\]

.

See https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc Where trunc is the integer truncation command.

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
integerDegree	\(degree\ (deg int)\) is the angle in integer degrees.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminutes in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcseconds. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

See also: DegreeToDegreesMinutesSeconds() for alias.; DecimalDegreeToDegreesMinutesSeconds() for alias.; DecimalDegreeToDMS() for alias.; DegreeToDMS() for conversion from (decimal) degrees and full explination.; DecimalDegreeToDMS() for conversion from decimal degrees.; RadianToDMS() for conversion from radians.; IntegerDegreeToDMS() for conversion from integer degrees.; BinaryDegreeToDMS() for conversion from binary degrees.; TurnToDMS() for conversion from turns.; GradianToDMS() for conversion from gradians.; HoursMinutesSecondsToDMS() for conversion from hours minutes seconds.; DegreesMinutesSecondsToDMS() for conversion from degrees minutes seconds.; CompassWindToDMS() for conversion from compass wind.

◆ DegreeToGon()

template<typename T >

T EGXMath::DegreeToGon ( const T & decimalDegree )

Converts an angle in (decimal) degree to gradians.

\[\alpha_{g}=\alpha_{deg}\frac{10}{9}\]

.

See https://en.wikipedia.org/wiki/Gradian

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{g}\ (g)\) is the angle in gradians.

See also: DegreeToGradian() for alias.; DecimalDegreeToGradian() for alias.; DecimalDegreeToGon() for alias.; DegreeToGon() for conversion from (decimal) degrees.; DecimalDegreeToGon() for conversion from decimal degrees.; RadianToGon() for conversion from radians.; IntegerDegreeToGon() for conversion from integer degrees.; BinaryDegreeToGon() for conversion from binary degrees.; TurnToGon() for conversion from turns.; GradianToGon() for conversion from gradians.; HoursMinutesSecondsToGon() for conversion from hours minutes seconds.; DegreesMinutesSecondsToGon() for conversion from degrees minutes seconds.; CompassWindToGon() for conversion from compass wind.

◆ DegreeToGradian()

template<typename T >

T EGXMath::DegreeToGradian ( const T & decimalDegree )

Converts an angle in (decimal) degree to gradian.

\[\alpha_{g}=\alpha_{deg}\frac{10}{9}\]

.

See https://en.wikipedia.org/wiki/Gradian

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{g}\ (g)\) is the angle in gradians.

See also: DegreeToGon() for alias.; DecimalDegreeToGradian() for alias.; DecimalDegreeToGon() for alias.; DegreeToGradian() for conversion from (decimal) degrees.; DecimalDegreeToGradian() for conversion from decimal degrees.; RadianToGradian() for conversion from radians.; IntegerDegreeToGradian() for conversion from integer degrees.; BinaryDegreeToGradian() for conversion from binary degrees.; TurnToGradian() for conversion from turns.; GradianToGradian() for conversion from gradians.; HoursMinutesSecondsToGradian() for conversion from hours minutes seconds.; DegreesMinutesSecondsToGradian() for conversion from degrees minutes seconds.; CompassWindToGradian() for conversion from compass wind.

◆ DegreeToHMS()

template<typename T >

void EGXMath::DegreeToHMS	(	const T &	decimalDegree,
		T &	hour,
		T &	minute,
		T &	second
	)

Converts an angle in (decimal) degree to hours minutes seconds (HMS). \({HH}^{h}{MM}^{m}{SS.SS}^{s}\) format.

\[hour=trun(\frac{\alpha_{deg}}{15})\]

\[minute=trun(60 * |\frac{\alpha_{deg}}{15} - hour|)\]

\[second=60 * ((60 * |\frac{\alpha_{deg}}{15} - hour|)-minute)\]

.

See and https://en.wikipedia.org/wiki/Right_ascension and https://en.wikipedia.org/wiki/Hour_angle

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
hour	\(hour\ (hour)\) is the angle in hours.
minute	\(minute\ (min)\) is the angle in minutes in whole numbers. Note that this is 1/60 of an hour. It is not equal to arcminutes.
second	\(second\ (sec)\) is the angle in seconds. Note that this is 1/60 of a minute, not arcminute. It is not equal to arcseconds.

See also: DegreeToHoursMinutesSeconds() for alias.; DecimalDegreeToHoursMinutesSeconds() for alias.; DecimalDegreeToHMS() for alias.; DegreeToHMS() for conversion from (decimal) degrees and full explination.; DecimalDegreeToHMS() for conversion from decimal degrees.; RadianToHMS() for conversion from radians.; IntegerDegreeToHMS() for conversion from integer degrees.; BinaryDegreeToHMS() for conversion from binary degrees.; TurnToHMS() for conversion from turns.; GradianToHMS() for conversion from gradians.; HoursMinutesSecondsToHMS() for conversion from hours minutes seconds.; DegreesMinutesSecondsToHMS() for conversion from degrees minutes seconds.; CompassWindToHMS() for conversion from compass wind.

◆ DegreeToHoursMinutesSeconds()

template<typename T >

void EGXMath::DegreeToHoursMinutesSeconds	(	const T &	decimalDegree,
		T &	hour,
		T &	minute,
		T &	second
	)

Converts an angle in (decimal) degree to hours minutes seconds (HMS). \({HH}^{h}{MM}^{m}{SS.SS}^{s}\) format.

\[hour=trun(\frac{\alpha_{deg}}{15})\]

\[minute=trun(60 * |\frac{\alpha_{deg}}{15} - hour|)\]

\[second=60 * ((60 * |\frac{\alpha_{deg}}{15} - hour|)-minute)\]

.

See and https://en.wikipedia.org/wiki/Right_ascension and https://en.wikipedia.org/wiki/Hour_angle

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
hour	\(hour\ (hour)\) is the angle in hours.
minute	\(minute\ (min)\) is the angle in minutes in whole numbers. Note that this is 1/60 of an hour. It is not equal to arcminutes.
second	\(second\ (sec)\) is the angle in seconds. Note that this is 1/60 of a minute, not arcminute. It is not equal to arcseconds.

See also: DegreeToHoursMinutesSeconds() for conversion from (decimal) degrees.; DegreeToHMS() for alias.; DecimalDegreeToHoursMinutesSeconds() for alias.; DecimalDegreeToHMS() for alias.; DegreeToHoursMinutesSeconds() for conversion from (decimal) degrees and full explination.; DecimalDegreeToHoursMinutesSeconds() for conversion from decimal degrees.; RadianToHoursMinutesSeconds() for conversion from radians.; IntegerDegreeToHoursMinutesSeconds() for conversion from integer degrees.; BinaryDegreeToHoursMinutesSeconds() for conversion from binary degrees.; TurnToHoursMinutesSeconds() for conversion from turns.; GradianToHoursMinutesSeconds() for conversion from gradians.; HoursMinutesSecondsToHoursMinutesSeconds() for conversion from hours minutes seconds.; DegreesMinutesSecondsToHoursMinutesSeconds() for conversion from degrees minutes seconds.; CompassWindToHoursMinutesSeconds() for conversion from compass wind.

◆ DegreeToIntegerDegree()

template<typename T >

T EGXMath::DegreeToIntegerDegree ( const T & decimalDegree )

Converts an angle in (decimal) degree to integer degree. This rounds to the nearest integer.

\[\alpha_{deg int}=round(\alpha_{deg})\]

.

See https://en.wikipedia.org/wiki/Degree_(angle) and https://en.wikipedia.org/wiki/Decimal_degrees

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degree.

Returns: \(\alpha_{deg int}\ (deg int)\) is the angle in integer degree.

See also: DecimalDegreeIntegerDegree() for alias.; DegreeToIntegerDegree() for conversion from (decimal) degrees.; DecimalDegreeToIntegerDegree() for conversion from decimal degrees.; RadianToIntegerDegree() for conversion from radians.; IntegerDegreeToIntegerDegree() for conversion from integer degrees.; BinaryDegreeToIntegerDegree() for conversion from binary degrees.; TurnToIntegerDegree() for conversion from turns.; GradianToIntegerDegree() for conversion from gradians.; HoursMinutesSecondsToIntegerDegree() for conversion from hours minutes seconds.; DegreesMinutesSecondsToIntegerDegree() for conversion from degrees minutes seconds.; CompassWindToIntegerDegree() for conversion from compass wind.

◆ DegreeToMicroarcsecond()

template<typename T >

T EGXMath::DegreeToMicroarcsecond ( const T & decimalDegree )

Converts an angle in (decimal) degree to microarcsecond.

\[\alpha_{\mu as}=60 * 60 * 10^6 * \alpha_{deg}\]

.

See https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{\mu as}\ (\mu as)\) is the angle in microarcseconds.

See also: DecimalDegreeToMicroarcsecond() for alias.; DegreeToMicroarcsecond() for conversion from (decimal) degrees.; DecimalDegreeToMicroarcsecond() for conversion from decimal degrees.; RadianToMicroarcsecond() for conversion from radians.; IntegerDegreeToMicroarcsecond() for conversion from integer degrees.; BinaryDegreeToMicroarcsecond() for conversion from binary degrees.; TurnToMicroarcsecond() for conversion from turns.; GradianToMicroarcsecond() for conversion from gradians.; HoursMinutesSecondsToMicroarcsecond() for conversion from hours minutes seconds.; DegreesMinutesSecondsToMicroarcsecond() for conversion from degrees minutes seconds.; CompassWindToMicroarcsecond() for conversion from compass wind.

◆ DegreeToMilliarcsecond()

template<typename T >

T EGXMath::DegreeToMilliarcsecond ( const T & decimalDegree )

Converts an angle in (decimal) degree to milliarcsecond.

\[\alpha_{mas}=60 * 60 * 10^3 * \alpha_{deg} \]

.

See https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

Returns: \(\alpha_{mas}\ (mas)\) is the angle in milliarcseconds.

See also: DecimalDegreeToMilliarcsecond() for alias.; DegreeToMilliarcsecond() for conversion from (decimal) degrees.; DecimalDegreeToMilliarcsecond() for conversion from decimal degrees.; RadianToMilliarcsecond() for conversion from radians.; IntegerDegreeToMilliarcsecond() for conversion from integer degrees.; BinaryDegreeToMilliarcsecond() for conversion from binary degrees.; TurnToMilliarcsecond() for conversion from turns.; GradianToMilliarcsecond() for conversion from gradians.; HoursMinutesSecondsToMilliarcsecond() for conversion from hours minutes seconds.; DegreesMinutesSecondsToMilliarcsecond() for conversion from degrees minutes seconds.; CompassWindToMilliarcsecond() for conversion from compass wind.

◆ DegreeToMilliradian()

template<typename T >

T EGXMath::DegreeToMilliradian ( const T & decimalDegree )

Converts an angle in (decimal) degrees to milliradians.

\[\alpha_{mrad}=\alpha_{deg}\frac{\pi}{180}*10^3\]

.

See https://en.wikipedia.org/wiki/Milliradian

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in decimal degrees.

Returns: \(\alpha_{mrad}\ (mrad)\) is the angle in milliradians.

See also: DecimalDegreeToMilliradian() for alias.; DegreeToRadian() for conversion to radians.; DegreeToMilliradian() for conversion from (decimal) degrees.; DecimalDegreeToMilliradian() for conversion from decimal degrees.; RadianToMilliradian() for conversion from radians.; IntegerDegreeToMilliradian() for conversion from integer degrees.; BinaryDegreeToMilliradian() for conversion from binary degrees.; TurnToMilliradian() for conversion from turns.; GradianToMilliradian() for conversion from gradians.; HoursMinutesSecondsToMilliradian() for conversion from hours minutes seconds.; DegreesMinutesSecondsToMilliradian() for conversion from degrees minutes seconds.; CompassWindToMilliradian() for conversion from compass wind.

◆ DegreeToRadian()

template<typename T >

T EGXMath::DegreeToRadian ( const T & decimalDegree )

Converts an angle in (decimal) degrees to radians.

\[\alpha_{rad}=\alpha_{deg}\frac{\pi}{180}\]

.

See https://en.wikipedia.org/wiki/Radian

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in decimal degrees.

Returns: \(\alpha_{rad}\ (rad)\) is the angle in radians.

See also: DecimalDegreeToRadian() for alias.; DegreeToMilliradian() for conversion to milliradians.; DegreeToRadian() for conversion from (decimal) degrees.; DecimalDegreeToRadian() for conversion from decimal degrees.; RadianToRadian() for conversion from radians.; IntegerDegreeToRadian() for conversion from integer degrees.; BinaryDegreeToRadian() for conversion from binary degrees.; TurnToRadian() for conversion from turns.; GradianToRadian() for conversion from gradians.; HoursMinutesSecondsToRadian() for conversion from hours minutes seconds.; DegreesMinutesSecondsToRadian() for conversion from degrees minutes seconds.; CompassWindToRadian() for conversion from compass wind.

◆ DegreeToTurn()

template<typename T >

T EGXMath::DegreeToTurn ( const T & decimalDegree )

Converts an angle in (decimal) degree to turn.

\[\alpha_{turn}=\alpha_{deg}\frac{1}{360}\]

.

See https://en.wikipedia.org/wiki/Turn_(geometry)

Parameters

decimalDegree \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degree.

Returns: \(\alpha_{turn}\ (turn)\) is the angle in turns.

See also: DegreeToTurn() for conversion from (decimal) degrees.; DecimalDegreeToTurn() for conversion from decimal degrees.; RadianToTurn() for conversion from radians.; IntegerDegreeToTurn() for conversion from integer degrees.; BinaryDegreeToTurn() for conversion from binary degrees.; TurnToTurn() for conversion from turns.; GradianToTurn() for conversion from gradians.; HoursMinutesSecondsToTurn() for conversion from hours minutes seconds.; DegreesMinutesSecondsToTurn() for conversion from degrees minutes seconds.; CompassWindToTurn() for conversion from compass wind.

Functions

Detailed Description

Function Documentation

◆ DegreeToArcdegree()

◆ DegreeToArcminute()

◆ DegreeToArcsecond()

◆ DegreeToBinaryDegree()

◆ DegreeToCompassWind()

◆ DegreeToDecimalDegree()

◆ DegreeToDegreesMinutesSeconds()

◆ DegreeToDMS()

◆ DegreeToGon()

◆ DegreeToGradian()

◆ DegreeToHMS()

◆ DegreeToHoursMinutesSeconds()

◆ DegreeToIntegerDegree()

◆ DegreeToMicroarcsecond()

◆ DegreeToMilliarcsecond()

◆ DegreeToMilliradian()

◆ DegreeToRadian()

◆ DegreeToTurn()