datetime2.modern - ISO calendar and Internet time

This module implements a calendar and a time representation that have been defined in the recent years:

Of course, they all conform to the requirements for interface classes listed in Customization.

ISO calendar

The ISO calendar divides the days into weeks, from Monday to Sunday, and groups 52 or 53 whole weeks into a year. The first calendar week of a year is the one that includes the first Thursday of the corresponding Gregorian year. This definition can be seen also as: the first calendar weeks of a ISO year is the week including January, 4th Gregorian.

A good discussion of the ISO calendar can be read at The Mathematics of the ISO 8601 Calendar.

The constructor of an ISO calendar is:

class datetime2.modern.IsoCalendar(year, week, day)

Return an object that represents the date given with ISO year, week number and day. All arguments are required and must be integers. Values for week and day must lie in the following ranges:

  • 1 <= week <= number of weeks in the given year

  • 1 <= day <= 7

If an argument is outside those ranges, a ValueError exception is raised. They day number goes from 1 (Monday) to 7 (Sunday).

An IsoCalendar object has three attributes:

IsoCalendar.year
IsoCalendar.week
IsoCalendar.day

These attributes are read-only integer numbers. Week will be between 1 and the number of weeks in the ISO year (52 or 53), day will be between 1 and 7.

Two static method have been implmented to give details of an ISO year:

classmethod IsoCalendar.is_long_year(year)

Return True if year is a long year, i.e. a year with 53 weeks, in the ISO calendar, False otherwise. For example, IsoCalendar.is_leap_year(2004) == True.

classmethod IsoCalendar.weeks_in_year(year)

Return the number of weeks in a ISO year, either 52 or 53. For example, IsoCalendar.weeks_in_year(2009) == 53.

An instance of the IsoCalendar class has the following methods:

IsoCalendar.day_of_year()

Return the day of the year as an integer, from 1 to 364 (in short years) or 371 (in long years). For example, IsoCalendar(2008, 3, 1).day_of_year() == 62.

IsoCalendar.replace(year, week, day)

Returns a new IsoCalendar object with the same value, except for those parameters given new values by whichever keyword arguments are specified. All values are optional; if used, they must be integers. If any argument is outside its validity range or would create an invalid Gregorian date, a ValueError exception is raised. For example:

>>> iso = IsoCalendar(2004, 53, 3)
>>> print(iso.replace(week=26))
2004-W26-3
>>> iso.replace(year=2003)  # 2003 has 52 weeks
Traceback (most recent call last):
  |
ValueError: Week must be between 1 and number of weeks in year, while it is 53.
IsoCalendar.__str__()

Return a string representing the date with the ‘YYYY-WWW-DD’ format. Years above 9999 are represented adding necessary figures. Negative years are represented prepending the minus sign. For example:

>>> str(IsoCalendar(2002, 12, 4))
'2002-W12-4'
>>> str(IsoCalendar(-1, 1, 1))
'-0001-W01-1'
IsoCalendar.cformat(format)

Return a string representing the ISO date, controlled by an explicit format string. The formatting directives are a subset of those accepted by datetime.date.strftime(), and their meaning does not depend on the underlying C library (i.e. there are no platform variations). The table below lists the accepted formatting directives, all other character are not interpreted.

Directive

Meaning

Notes

%a

Abbreviated weekday name.

(1)

%A

Full weekday name.

(1)

%j

Day of the year as a decimal number [001,371].

%w

Weekday as a decimal number [1 (Monday), 7 (Sunday)].

%W

Week number in the ISO year as a decimal number [01, 53].

%y

ISO year without century as a decimal number [00, 99].

(2)

%Y

ISO year with century as a decimal number. At least four figures will be returned.

(3)

%%

A literal '%' character.

Notes:

  1. The %a and %A directives return a localized name in Standard C++. This is not true for datetime2, which only returns English names.

  2. Since this is a truncated representation, negative years will not have a sign.

  3. Negative years will have a trailing '-'.

Internet time

The Internet Time (or beat time) is a decimal time concept introduced in 1998, marketed by a large Swiss watch company, and divides the day in 1000 parts, called “beats”. A beat is equivalent to 1 minute and 26.4 seconds. A Wikipedia article describes the Internet time. The Internet time is aware by definition.

The default constructor for Internet time is:

class datetime2.modern.InternetTime(beat)

Return an object that represents the time in thousandths of a day. The beat argument is required and must be a anything that can be passed to the fractions.Fraction constructor, i.e. an integer, a float, another Fraction, a Decimal number or a string representing an integer, a float or a fraction. Its value must be equal or greater than 0 and less than 1000. If the argument is not of one of the possible types, a TypeError exception is raised. If the argument is outside its accepted range, a ValueError exception is raised.

An InternetTime object has one attribute:

InternetTime.beat

This attribute is a read-only Python Fraction greater than or equal to 0 and less than 1000.

and the following methods:

InternetTime.__str__()

Return a string representing the moment of the day in beats, @BBB’ format. For example:

>>> str(InternetTime(345.25))
'@345'
InternetTime.cformat(format)

Return a string representing the Internet time, controlled by an explicit format string with formatting directives close to that used in C. The table below lists the accepted formatting directives, all other character are not interpreted.

Directive

Meaning

Notes

%b

Integer number of beats [000, 999].

%f

Thousandths of a beat, zero-padded on the left [000, 999].

(1)

Notes:

  1. One thousandth of a beat is a millionth of a day, i.e. 86.4 milliseconds.