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- From: seismo!gatech!hpcnof!hpfcla!hpfclj!hpfcdg!rgt
- Date: Mon, 12 Jan 87 15:21:04 est
-
- > 2. If the year begins on Saturday and ends on Monday, it will have 54
- > weeks. Obviously they cannot be numbered 00 to 52!
-
- Sorry folks, but this is not a bug. This was transcribed from the X3J11
- documentation titled "Internationalizing ANSI C" and numbered
- "X3J11/86-125R". Section 3.2 describes the strftime funtion and
- describes the %U and %W directives. Both are described as being week
- numbers beginning with either Sunday or Monday and both list a range of
- 00 to 52. (The %W directive was changed to a %V directive because it
- conflicts with an existing X/OPEN directive for the nl_cxtime function,
- which is almost identical in operation to strftime.)
-
- I believe that the intended week number computation is as described in a
- paper titled "An Overview of Internationalization" by Greger K.
- Leijonjufvud of Sperry Corporation and Gary L. Lindgren of AT&T (no
- date or number). In section 3.4.2.4 titled "The Week" it states [with my
- corrections and clarifications (rgt)]:
-
- The 7-day week is now predominant. Each day has its name and is
- also numbered. the number depends on which day is counted as
- the starting day of the week: either Sunday or Monday. Weeks
- are also numbered. Which week tath is counted as the first
- depends on the weekday of January 1st (i.e., if there are 4 or
- more January days in the week of Jan 1st, then that is week 1,
- [number 00 (rgt)] otherwise it is week [51 or (rgt)] 52 of the
- preceding year. The calculation also depends on whether Sunday
- is the first or the last day of the week.)
-
- The maximum number of weeks in a year would occur in a leap year with
- January 1st on the Wednesday of the Sunday-first week. Looking at a
- perpetual calendar, 1964 or 1992 are useful examples. I derive the
- following table:
-
- 1963 week ?? = Dec 22 to Dec 28
- 1964 week 00 = Dec 29 to Jan 04
- ...
- 1964 week 52 = Dec 27 to Jan 02
- 1965 week 00 = Jan 03 to Jan 09
-
- Conversely, the minimum number of weeks in a year would be occur in a
- non-leap year when January 1st was on a Thursday of the Sunday-first
- week.
-
- 1986 week ?? = Dec 28 to Jan 03
- 1987 week 00 = Jan 04 to Jan 10
- ...
- 1987 week 51 = Dec 27 to Jan 02
- 1988 week 00 = Jan 03 to Jan 09
-
- Conclusion: A week-aligned year may will have at least 52 weeks and at
- most 53 weeks. The first day (00) of the first week (00) of the
- week-aligned year may be as early as Dec 29 and as late as Jan 04.
-
- All of the arguements can also be applied to a Monday first week with
- only minor changes.
-
- Volume-Number: Volume 9, Number 33
-
-