The Aztec Tonalpohualli is just like the Maya Tzolkin, a 260-day calendar consisting of a 13-day count and a 20-name count. More...

#include <AztecTonalpohualliCalendar.hpp>

Public Slots
void	retranslate () override

void	setJD (double JD) override
	Set a calendar date from the Julian day number.

void	setDate (QVector< int > parts) override
	set date from a vector of calendar date elements sorted from the largest to the smallest. More...

QStringList	getDateStrings () const override
	get a stringlist of calendar date elements sorted from the largest to the smallest. More...

static int	aztecTonalpohualliOrdinal (QVector< int > tonalpohualli)
	Return ordinal in Tonalpohualli cycle. More...

static QVector< int >	aztecTonalpohualliFromFixed (int rd)
	get 2-part vector of Tonalpohualli date from RD

static int	aztecTonalpohualliOnOrBefore (QVector< int > tonalpohualli, int rd)

Public Slots inherited from MayaTzolkinCalendar
void	retranslate () override

void	setJD (double JD) override
	Set a calendar date from the Julian day number.

void	setDate (QVector< int > parts) override
	set date from a vector of calendar date elements sorted from the largest to the smallest. More...

QStringList	getDateStrings () const override
	get a stringlist of calendar date elements sorted from the largest to the smallest. More...

static QVector< int >	mayanTzolkinFromFixed (int rd)
	usually internal, but used by MayaHaabCalendar.

static QString	tzolkinName (int i)
	return Tzolkin name for index [0...19]

static int	mayanTzolkinOrdinal (QVector< int > tzolkin)

static int	mayanTzolkinOnOrBefore (QVector< int > tzolkin, int rd)

Public Slots inherited from Calendar
virtual void	retranslate ()
	Translate e.g. stringlists of part names.

virtual void	setJD (double JD)
	Set a calendar date from the Julian day number Subclasses set JD and compute the parts and possibly other data This triggers the partsChanged() signal.

virtual double	getJD () const
	Get Julian day number from a calendar date.

virtual void	setDate (QVector< int > parts)
	set date from a vector of calendar date elements sorted from the largest to the smallest. More...

virtual QVector< int >	getDate () const
	get a vector of calendar date elements sorted from the largest to the smallest. More...

virtual QStringList	getDateStrings () const
	get a stringlist of calendar date elements sorted from the largest to the smallest. More...

virtual QString	getFormattedDateString () const
	get a formatted complete string for a date. The default implementation just concatenates all strings from getDateStrings() with a space in between.

static QString	getFormattedDateString (QVector< int > date, QString sep=" ")
	get a formatted complete string for a date. This implementation just converts and concatenates all ints with sep in between.

static double	rdNow ()
	Mostly for testing: return RD of current time.

static double	rdJ2000 ()

static double	momentFromJD (double jd, bool respectUTCoffset)
	Interfacing function from Reingold/Dershowitz: Calendrical Calculations Returns a "moment" in RD that represents JD. More...

static int	fixedFromMoment (double rd)

static double	timeFromMoment (double rd)

static int	fixedFromJD (double jd, bool respectUTCoffset)
	Interfacing function from Reingold/Dershowitz: Calendrical Calculations Returns a fixed date in RD that represents noon of JD. More...

static double	momentFromMJD (double mjd)

static double	jdFromMoment (double rd, bool respectUTCoffset)
	interfacing function from Reingold/Dershowitz: Calendrical Calculations Returns a JD from an RD "moment" (including fractions of day) Stellarium extension: optionally includes local time zone offset. More...

static double	jdFromFixed (double rd, bool respectUTCoffset)
	interfacing function from Reingold/Dershowitz: Calendrical Calculations Returns a JD from an RD "moment" (including fractions of day) Stellarium extension: optionally includes local time zone offset. More...

static double	mjdFromFixed (double rd)

static int	dayOfWeekFromFixed (int rd)
	weekday from RD date. CC.UE(1.60).

static int	kdayOnOrBefore (const Calendar::Day k, const int rd)
	@Returns the R.D. of the nearest weekday k on or before rd

static int	kdayOnOrAfter (const Calendar::Day k, const int rd)
	@Returns the R.D. of the nearest weekday k on or after rd

static int	kdayNearest (const Calendar::Day k, const int rd)
	@Returns the R.D. of the nearest weekday k around rd

static int	kdayBefore (const Calendar::Day k, const int rd)
	@Returns the R.D. of the nearest weekday k before rd

static int	kdayAfter (const Calendar::Day k, const int rd)
	@Returns the R.D. of the nearest weekday k after rd

static double	modInterval (double x, double a, double b)
	Interval modulus, CC.UE 1.24. More...

static int	modInterval (int x, int a, int b)
	Interval modulus, CC.UE 1.24: This EXCLUDES the upper limit! Use StelUtils::amod(x, b) for CC's (x)mod[1..b].

static int	rdCorrSum (QVector< int >parts, QVector< int >factors, int corr)
	Reingold-Dershowitz CC.UE 1.48.

int	rdCorrSum (QVector< int >factors, int corr)

static QVector< int >	toRadix (int num, QVector< int >radix)
	Split integer to mixed-radix vector. Reingold-Dershowitz CC.UE 1.42.

static QVector< int >	intersectWithRange (QVector< int >cand, QVector< int >range)
	Intersect a collection of candidates against a range of values. More...

static StelLocation	location (const QString &name)
	retrieve a StelLocation from our database based on its name There is no check! Returned location may be default/empty.

static double	direction (const StelLocation &locFrom, const StelLocation &locTo)
	Return azimuth direction (degrees from North) from locFrom to locTo.

static double	direction (const QString &locFrom, const QString &locTo)

static double	zoneFromLongitude (double lngDeg)

static double	universalFromLocal (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	universalFromLocal (double rd_loc, const QString &loc)

static double	localFromUniversal (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromUniversal (double rd_ut, const QString &loc)

static double	standardFromUniversal (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	standardFromUniversal (double rd_ut, const QString &loc)

static double	universalFromStandard (double rd_zone, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	universalFromStandard (double rd_zone, const QString &loc)

static double	standardFromLocal (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	standardFromLocal (double rd_loc, const QString &loc)

static double	localFromStandard (double rd_zone, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromStandard (double rd_zone, const QString &loc)

static double	ephemerisCorrection (double rd)

static double	dynamicalFromUniversal (double rd_ut)
	Correct rd_ut to Dynamical time.

static double	universalFromDynamical (double rd_dt)
	Correct rd_dt to Universal time.

static double	julianCenturies (double rd_ut)

static double	equationOfTime (double rd_ut)

static double	apparentFromLocal (double rd_local_mean, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	apparentFromLocal (double rd_local_mean, const QString &loc)

static double	localFromApparent (double rd_local_app, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromApparent (double rd_local_app, const QString &loc)

static double	apparentFromUniversal (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	apparentFromUniversal (double rd_ut, const QString &loc)

static double	universalFromApparent (double rd_local_app, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	universalFromApparent (double rd_local_app, const QString &loc)

static double	midnight (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	midnight (int rd, const QString &loc)

static double	midday (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	midday (int rd, const QString &loc)

static double	middayTehran (int rd)

static double	siderealFromMoment (double rd_ut)

static double	obliquity (double rd_ut)

static double	declination (double rd_ut, double eclLat, double eclLong)

static double	rightAscension (double rd_ut, double eclLat, double eclLong)

static double	solarLongitude (double rd_ut)

static double	nutation (double rd_ut)

static double	aberration (double rd_ut)

static double	solarLongitudeInv (double lng, double rdA, double rdB)
	binary search for the moment when solar longitude reaches lng in the time between rdA and rdB (used in CC:UE 14.36)

static double	solarLongitudeAfter (double lng, double rd_ut)

static double	seasonInGregorian (Calendar::Season season, int gYear)

static double	urbanaWinter (int gYear)

static double	precession (double rd_dt)

static double	solarAltitude (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	solarAltitude (double rd_ut, const QString &loc)

static double	estimatePriorSolarLongitude (double lambda, double rd_ut)

static double	nthNewMoon (int n)

static double	newMoonBefore (double rd_ut)

static double	newMoonAtOrAfter (double rd_ut)

static double	lunarLongitude (double rd_ut)

static double	lunarLatitude (double rd_ut)

static double	lunarDistance (double rd_ut)

static double	meanLunarLongitude (double c)

static double	lunarElongation (double c)

static double	solarAnomaly (double c)

static double	lunarAnomaly (double c)

static double	moonNode (double c)

static double	lunarNode (double rd_ut)

static double	siderealLunarLongitude (double rd_ut, double siderealStart)

static double	lunarPhase (double rd_ut)

static double	lunarPhaseInv (double phi, double rdA, double rdB)
	binary search for the moment when lunar phase reaches phi in the time between rdA and rdB (CC:UE 14.57)

static double	lunarPhaseAtOrBefore (double phi, double rd_ut)

static double	lunarPhaseAtOrAfter (double phi, double rd_ut)

static double	lunarAltitude (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	lunarAltitude (double rd_ut, const QString &loc)

static double	lunarParallax (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	lunarParallax (double rd_ut, const QString &loc)

static double	topocentricLunarAltitude (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	topocentricLunarAltitude (double rd_ut, const QString &loc)

static double	approxMomentOfDepression (double rd_loc, double alpha, bool early, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	sineOffset (double rd_ut, double alpha, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	momentOfDepression (double rd_approx, double alpha, bool early, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	dawn (int rd, double alpha, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	dawn (int rd, double alpha, const QString &loc)

static double	dusk (int rd, double alpha, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	dusk (int rd, double alpha, const QString &loc)

static double	refraction (const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	refraction (const QString &loc)

static double	sunrise (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	sunrise (int rd, const QString &loc)

static double	sunset (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	sunset (int rd, const QString &loc)

static double	dawnParis (int rd)
	For testing only: More...

static double	sunsetJerusalem (int rd)

static double	jewishSabbathEnds (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	jewishSabbathEnds (int rd, const QString &loc)

static double	jewishDusk (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	jewishDusk (int rd, const QString &loc)

static double	observedLunarAltitude (double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	observedLunarAltitude (double rd_ut, const QString &loc)

static double	moonrise (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	moonrise (int rd, const QString &loc)

static double	moonset (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	moonset (int rd, const QString &loc)

static double	moonriseMecca (int rd)
	For testing only: Delivers local standard time.

static double	moonsetMecca (int rd)

static double	localZeroItalianHour (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localZeroItalianHour (double rd_loc, const QString &loc)

static double	localZeroSunsetHour (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localZeroSunsetHour (double rd_loc, const QString &loc)

static double	localZeroBabylonianHour (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localZeroBabylonianHour (double rd_loc, const QString &loc)

static double	localFromItalian (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromItalian (double rd_loc, const QString &loc)

static double	localFromSunsetHour (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromSunsetHour (double rd_loc, const QString &loc)

static double	localFromBabylonian (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	localFromBabylonian (double rd_loc, const QString &loc)

static double	italianFromLocal (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	italianFromLocal (double rd_loc, const QString &loc)

static double	sunsetHourFromLocal (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	sunsetHourFromLocal (double rd_loc, const QString &loc)

static double	babylonianFromLocal (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	babylonianFromLocal (double rd_loc, const QString &loc)

static double	daytimeTemporalHour (const int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	daytimeTemporalHour (const int rd, const QString &loc)

static double	nighttimeTemporalHour (const int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	nighttimeTemporalHour (const int rd, const QString &loc)

static double	standardFromSundial (const double rd_ut, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	standardFromSundial (const double rd_ut, const QString &loc)

static double	arcOfLight (double rd_loc)

static double	simpleBestView (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	simpleBestView (int rd, const QString &loc)

static bool	shaukatCriterion (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static bool	shaukatCriterion (int rd, const QString &loc)

static double	arcOfVision (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	arcOfVision (double rd_loc, const QString &loc)

static double	bruinBestView (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	bruinBestView (int rd, const QString &loc)

static bool	yallopCriterion (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static bool	yallopCriterion (int rd, const QString &loc)

static double	lunarSemiDiameter (double rd_loc, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static double	lunarSemiDiameter (double rd_loc, const QString &loc)

static double	lunarDiameter (double rd_ut)

static bool	visibleCrescent (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static bool	visibleCrescent (int rd, const QString &loc)

static int	phasisOnOrBefore (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static int	phasisOnOrBefore (int rd, const QString &loc)

static int	phasisOnOrAfter (int rd, const StelLocation &loc=StelApp::getInstance().getCore() ->getCurrentLocation())

static int	phasisOnOrAfter (int rd, const QString &loc)

Public Member Functions
	AztecTonalpohualliCalendar (double jd)

Public Member Functions inherited from MayaTzolkinCalendar
	MayaTzolkinCalendar (double jd)

Public Member Functions inherited from Calendar
	Calendar (double jd)

Static Public Attributes
static const int	aztecTonalpohualliCorrelation
	A constant to correlate calendars.

Static Public Attributes inherited from MayaTzolkinCalendar
static const int	mayanTzolkinEpoch

Static Public Attributes inherited from Calendar
constexpr static const double	j2000 =730120.5
	RD of J2000.0 (CC:UE 14.19)

constexpr static const double	jdEpoch =-1721424.5

constexpr static const double	mjdEpoch =678576.0

constexpr static const int	bogus =-1000000

static const StelLocation	urbana

static const StelLocation	greenwich

static const StelLocation	mecca

static const StelLocation	tehran

static const StelLocation	paris

static const StelLocation	jerusalem

static const StelLocation	acre

static const StelLocation	padua

Additional Inherited Members
Public Types inherited from Calendar
enum	Day { sunday = 0, monday, tuesday, wednesday, thursday, friday, saturday }
	enum from CC.UE-ch1.12.

enum	Season { spring = 0, summer = 90, autumn = 180, winter = 270 }

enum	Phase { newMoon = 0, firstQuarter = 90, fullMoon = 180, lastQuarter = 270 }

Signals inherited from Calendar
void	partsChanged (QVector< int > parts)

void	jdChanged (double jd)

Protected Attributes inherited from Calendar
double	JD

QVector< int >	parts
	date expressed as JD(UT), including day fraction (ready to interact with the main application)

Static Protected Attributes inherited from Calendar
static constexpr double	meanTropicalYear =365.242189
	date expressed in the numerical parts of the calendar (usually the smallest part represents a day count) More...

static constexpr double	meanSiderealYear =365.25636
	(CC:UE 14.32)

static constexpr double	meanSynodicMonth =29.530588861
	(CC:UE 14.44)

static constexpr bool	morning =true
	CC:UE 14.71.

static constexpr bool	evening =false
	CC:UE 14.73.

Detailed Description

The implementation follows CC. The "name" is not a month but also changes every day. The traditional writing is number-name, which is also used in the parts.

Member Function Documentation

◆ aztecTonalpohualliOrdinal

static int AztecTonalpohualliCalendar::aztecTonalpohualliOrdinal ( QVector< int > tonalpohualli )

inlinestaticslot

tonalpohualli is a QVector<int> of {number, name} (typo in book...)

◆ getDateStrings

QStringList AztecTonalpohualliCalendar::getDateStrings ( ) const

overrideslot

dayNumber[1..13]-name

◆ setDate

void AztecTonalpohualliCalendar::setDate ( QVector< int > parts )

overrideslot

dayNumber[1..13]-nameIndex[1..20] We face a problem as the date is not unique. We can only find the date before current JD which matches the parts.

Public Slots

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ aztecTonalpohualliOrdinal

◆ getDateStrings

◆ setDate