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506 lines
23 KiB
EmacsLisp
506 lines
23 KiB
EmacsLisp
;;; cal-china.el --- calendar functions for the Chinese calendar
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;; Copyright (C) 1995, 1997 Free Software Foundation, Inc.
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;; Author: Edward M. Reingold <reingold@cs.uiuc.edu>
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;; Keywords: calendar
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;; Human-Keywords: Chinese calendar, calendar, holidays, diary
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;; This file is part of GNU Emacs.
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;; GNU Emacs is free software; you can redistribute it and/or modify
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;; it under the terms of the GNU General Public License as published by
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;; the Free Software Foundation; either version 2, or (at your option)
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;; any later version.
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;; GNU Emacs is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;; GNU General Public License for more details.
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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs; see the file COPYING. If not, write to the
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;; Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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;; Boston, MA 02111-1307, USA.
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;;; Commentary:
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;; This collection of functions implements the features of calendar.el,
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;; diary.el, and holidays.el that deal with the Chinese calendar. The rules
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;; used for the Chinese calendar are those of Baolin Liu (see L. E. Doggett's
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;; article "Calendars" in the Explanatory Supplement to the Astronomical
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;; Almanac, second edition, 1992) for the calendar as revised at the beginning
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;; of the Qing dynasty in 1644. The nature of the astronomical calculations
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;; is such that precise calculations cannot be made without great expense in
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;; time, so that the calendars produced may not agree perfectly with published
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;; tables--but no two pairs of published tables agree perfectly either! Liu's
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;; rules produce a calendar for 2033 which is not accepted by all authorities.
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;; The date of Chinese New Year is correct from 1644-2051.
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;; Technical details of all the calendrical calculations can be found in
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;; ``Calendrical Calculations'' by Nachum Dershowitz and Edward M. Reingold,
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;; Cambridge University Press (1997).
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;; Comments, corrections, and improvements should be sent to
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;; Edward M. Reingold Department of Computer Science
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;; (217) 333-6733 University of Illinois at Urbana-Champaign
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;; reingold@cs.uiuc.edu 1304 West Springfield Avenue
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;; Urbana, Illinois 61801
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;;; Code:
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(defvar displayed-month)
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(defvar displayed-year)
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(require 'lunar)
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(defvar chinese-calendar-celestial-stem
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["Jia" "Yi" "Bing" "Ding" "Wu" "Ji" "Geng" "Xin" "Ren" "Gui"])
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(defvar chinese-calendar-terrestrial-branch
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["Zi" "Chou" "Yin" "Mao" "Chen" "Si" "Wu" "Wei" "Shen" "You" "Xu" "Hai"])
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(defcustom chinese-calendar-time-zone
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'(if (< year 1928)
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(+ 465 (/ 40.0 60.0))
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480)
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"*Number of minutes difference between local standard time for Chinese
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calendar and Coordinated Universal (Greenwich) Time. Default is for Beijing.
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This is an expression in `year' since it changed at 1928-01-01 00:00:00 from
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UT+7:45:40 to UT+8."
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:type 'sexp
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:group 'chinese-calendar)
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(defcustom chinese-calendar-location-name "Beijing"
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"*Name of location used for calculation of Chinese calendar."
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:type 'string
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-time-offset 0
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; The correct value is as follows, but the Chinese calendrical
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; authorities do NOT use DST in determining astronomical events:
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; 60
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"*Number of minutes difference between daylight savings and standard time
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for Chinese calendar. Default is for no daylight savings time."
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:type 'integer
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:group 'chinese-calendar)
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(defcustom chinese-calendar-standard-time-zone-name
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'(if (< year 1928)
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"PMT"
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"CST")
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"*Abbreviated name of standard time zone used for Chinese calendar.
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This is an expression depending on `year' because it changed
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at 1928-01-01 00:00:00 from `PMT' to `CST'."
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:type 'sexp
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-time-zone-name "CDT"
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"*Abbreviated name of daylight-savings time zone used for Chinese calendar."
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:type 'string
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-savings-starts nil
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; The correct value is as follows, but the Chinese calendrical
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; authorities do NOT use DST in determining astronomical events:
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; '(cond ((< 1986 year) (calendar-nth-named-day 1 0 4 year 10))
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; ((= 1986 year) '(5 4 1986))
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; (t nil))
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"*Sexp giving the date on which daylight savings time starts for Chinese
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calendar. Default is for no daylight savings time. See documentation of
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`calendar-daylight-savings-starts'."
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:type 'sexp
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-savings-ends nil
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; The correct value is as follows, but the Chinese calendrical
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; authorities do NOT use DST in determining astronomical events:
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; '(if (<= 1986 year) (calendar-nth-named-day 1 0 9 year 11))
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"*Sexp giving the date on which daylight savings time ends for Chinese
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calendar. Default is for no daylight savings time. See documentation of
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`calendar-daylight-savings-ends'."
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:type 'sexp
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-savings-starts-time 0
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"*Number of minutes after midnight that daylight savings time starts for
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Chinese calendar. Default is for no daylight savings time."
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:type 'integer
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:group 'chinese-calendar)
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(defcustom chinese-calendar-daylight-savings-ends-time 0
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"*Number of minutes after midnight that daylight savings time ends for
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Chinese calendar. Default is for no daylight savings time."
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:type 'integer
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:group 'chinese-calendar)
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(defun chinese-zodiac-sign-on-or-after (d)
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"Absolute date of first new Zodiac sign on or after absolute date d.
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The Zodiac signs begin when the sun's longitude is a multiple of 30 degrees."
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(let* ((year (extract-calendar-year
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(calendar-gregorian-from-absolute d)))
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(calendar-time-zone (eval chinese-calendar-time-zone))
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(calendar-daylight-time-offset
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chinese-calendar-daylight-time-offset)
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(calendar-standard-time-zone-name
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chinese-calendar-standard-time-zone-name)
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(calendar-daylight-time-zone-name
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chinese-calendar-daylight-time-zone-name)
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(calendar-calendar-daylight-savings-starts
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chinese-calendar-daylight-savings-starts)
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(calendar-daylight-savings-ends
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chinese-calendar-daylight-savings-ends)
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(calendar-daylight-savings-starts-time
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chinese-calendar-daylight-savings-starts-time)
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(calendar-daylight-savings-ends-time
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chinese-calendar-daylight-savings-ends-time))
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(floor
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(calendar-absolute-from-astro
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(solar-date-next-longitude
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(calendar-astro-from-absolute d)
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30)))))
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(defun chinese-new-moon-on-or-after (d)
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"Absolute date of first new moon on or after absolute date d."
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(let* ((year (extract-calendar-year
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(calendar-gregorian-from-absolute d)))
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(calendar-time-zone (eval chinese-calendar-time-zone))
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(calendar-daylight-time-offset
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chinese-calendar-daylight-time-offset)
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(calendar-standard-time-zone-name
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chinese-calendar-standard-time-zone-name)
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(calendar-daylight-time-zone-name
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chinese-calendar-daylight-time-zone-name)
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(calendar-calendar-daylight-savings-starts
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chinese-calendar-daylight-savings-starts)
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(calendar-daylight-savings-ends
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chinese-calendar-daylight-savings-ends)
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(calendar-daylight-savings-starts-time
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chinese-calendar-daylight-savings-starts-time)
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(calendar-daylight-savings-ends-time
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chinese-calendar-daylight-savings-ends-time))
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(floor
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(calendar-absolute-from-astro
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(lunar-new-moon-on-or-after
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(calendar-astro-from-absolute d))))))
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(defvar chinese-year-cache
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'((1990 (12 726464) (1 726494) (2 726523) (3 726553) (4 726582) (5 726611)
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(5.5 726641) (6 726670) (7 726699) (8 726729) (9 726758) (10 726788)
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(11 726818))
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(1991 (12 726848) (1 726878) (2 726907) (3 726937) (4 726966) (5 726995)
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(6 727025) (7 727054) (8 727083) (9 727113) (10 727142) (11 727172))
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(1992 (12 727202) (1 727232) (2 727261) (3 727291) (4 727321) (5 727350)
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(6 727379) (7 727409) (8 727438) (9 727467) (10 727497) (11 727526))
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(1993 (12 727556) (1 727586) (2 727615) (3 727645) (3.5 727675) (4 727704)
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(5 727734) (6 727763) (7 727793) (8 727822) (9 727851) (10 727881)
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(11 727910))
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(1994 (12 727940) (1 727969) (2 727999) (3 728029) (4 728059) (5 728088)
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(6 728118) (7 728147) (8 728177) (9 728206) (10 728235) (11 728265))
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(1995 (12 728294) (1 728324) (2 728353) (3 728383) (4 728413) (5 728442)
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(6 728472) (7 728501) (8 728531) (8.5 728561) (9 728590) (10 728619)
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(11 728649))
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(1996 (12 728678) (1 728708) (2 728737) (3 728767) (4 728796) (5 728826)
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(6 728856) (7 728885) (8 728915) (9 728944) (10 728974) (11 729004))
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(1997 (12 729033) (1 729062) (2 729092) (3 729121) (4 729151) (5 729180)
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(6 729210) (7 729239) (8 729269) (9 729299) (10 729328) (11 729358))
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(1998 (12 729388) (1 729417) (2 729447) (3 729476) (4 729505) (5 729535)
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(5.5 729564) (6 729593) (7 729623) (8 729653) (9 729682) (10 729712)
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(11 729742))
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(1999 (12 729771) (1 729801) (2 729831) (3 729860) (4 729889) (5 729919)
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(6 729948) (7 729977) (8 730007) (9 730036) (10 730066) (11 730096))
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(2000 (12 730126) (1 730155) (2 730185) (3 730215) (4 730244) (5 730273)
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(6 730303) (7 730332) (8 730361) (9 730391) (10 730420) (11 730450))
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(2001 (12 730480) (1 730509) (2 730539) (3 730569) (4 730598) (4.5 730628)
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(5 730657) (6 730687) (7 730716) (8 730745) (9 730775) (10 730804)
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(11 730834))
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(2002 (12 730863) (1 730893) (2 730923) (3 730953) (4 730982) (5 731012)
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(6 731041) (7 731071) (8 731100) (9 731129) (10 731159) (11 731188))
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(2003 (12 731218) (1 731247) (2 731277) (3 731307) (4 731336) (5 731366)
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(6 731396) (7 731425) (8 731455) (9 731484) (10 731513) (11 731543))
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(2004 (12 731572) (1 731602) (2 731631) (2.5 731661) (3 731690) (4 731720)
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(5 731750) (6 731779) (7 731809) (8 731838) (9 731868) (10 731897)
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(11 731927))
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(2005 (12 731956) (1 731986) (2 732015) (3 732045) (4 732074) (5 732104)
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(6 732133) (7 732163) (8 732193) (9 732222) (10 732252) (11 732281))
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(2006 (12 732311) (1 732340) (2 732370) (3 732399) (4 732429) (5 732458)
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(6 732488) (7 732517) (7.5 732547) (8 732576) (9 732606) (10 732636)
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(11 732665))
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(2007 (12 732695) (1 732725) (2 732754) (3 732783) (4 732813) (5 732842)
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(6 732871) (7 732901) (8 732930) (9 732960) (10 732990) (11 733020))
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(2008 (12 733049) (1 733079) (2 733109) (3 733138) (4 733167) (5 733197)
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(6 733226) (7 733255) (8 733285) (9 733314) (10 733344) (11 733374))
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(2009 (12 733403) (1 733433) (2 733463) (3 733493) (4 733522) (5 733551)
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(5.5 733581) (6 733610) (7 733639) (8 733669) (9 733698) (10 733728)
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(11 733757))
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(2010 (12 733787) (1 733817) (2 733847) (3 733876) (4 733906) (5 733935)
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(6 733965) (7 733994) (8 734023) (9 734053) (10 734082) (11 734112)))
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"An assoc list of Chinese year structures as determined by `chinese-year'.
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Values are computed as needed, but to save time, the initial value consists
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of the precomputed years 1990-2010. The code works just as well with this
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set to nil initially (which is how the value for 1990-2010 was computed).")
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(defun chinese-year (y)
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"The structure of the Chinese year for Gregorian year Y.
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The result is a list of pairs (i d), where month i begins on absolute date d,
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of the Chinese months from the Chinese month following the solstice in
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Gregorian year Y-1 to the Chinese month of the solstice of Gregorian year Y.
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The list is cached for further use."
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(let ((list (cdr (assoc y chinese-year-cache))))
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(if (not list)
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(progn
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(setq list (compute-chinese-year y))
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(setq chinese-year-cache
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(append chinese-year-cache (list (cons y list))))))
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list))
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(defun number-chinese-months (list start)
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"Assign month numbers to the lunar months in LIST, starting with START.
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Numbers are assigned sequentially, START, START+1, ..., 11, with half
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numbers used for leap months.
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First month of list will never be a leap month, nor will the last."
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(if list
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(if (zerop (- 12 start (length list)))
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;; List is too short for a leap month
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(cons (list start (car list))
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(number-chinese-months (cdr list) (1+ start)))
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(cons
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;; First month
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(list start (car list))
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;; Remaining months
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(if (and (cdr (cdr list));; at least two more months...
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(<= (car (cdr (cdr list)))
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(chinese-zodiac-sign-on-or-after (car (cdr list)))))
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;; Next month is a leap month
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(cons (list (+ start 0.5) (car (cdr list)))
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(number-chinese-months (cdr (cdr list)) (1+ start)))
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;; Next month is not a leap month
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(number-chinese-months (cdr list) (1+ start)))))))
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(defun chinese-month-list (start end)
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"List of starting dates of Chinese months from START to END."
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(if (<= start end)
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(let ((new-moon (chinese-new-moon-on-or-after start)))
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(if (<= new-moon end)
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(cons new-moon
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(chinese-month-list (1+ new-moon) end))))))
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(defun compute-chinese-year (y)
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"Compute the structure of the Chinese year for Gregorian year Y.
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The result is a list of pairs (i d), where month i begins on absolute date d,
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of the Chinese months from the Chinese month following the solstice in
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Gregorian year Y-1 to the Chinese month of the solstice of Gregorian year Y."
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(let* ((next-solstice (chinese-zodiac-sign-on-or-after
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(calendar-absolute-from-gregorian
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(list 12 15 y))))
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(list (chinese-month-list (1+ (chinese-zodiac-sign-on-or-after
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(calendar-absolute-from-gregorian
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(list 12 15 (1- y)))))
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next-solstice))
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(next-sign (chinese-zodiac-sign-on-or-after (car list))))
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(if (= (length list) 12)
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;; No room for a leap month, just number them 12, 1, 2, ..., 11
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(cons (list 12 (car list))
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(number-chinese-months (cdr list) 1))
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;; Now we can assign numbers to the list for y
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;; The first month or two are special
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(if (or (> (car list) next-sign) (>= next-sign (car (cdr list))))
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;; First month on list is a leap month, second is not
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(append (list (list 11.5 (car list))
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(list 12 (car (cdr list))))
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(number-chinese-months (cdr (cdr list)) 1))
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;; First month on list is not a leap month
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(append (list (list 12 (car list)))
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(if (>= (chinese-zodiac-sign-on-or-after (car (cdr list)))
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(car (cdr (cdr list))))
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;; Second month on list is a leap month
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(cons (list 12.5 (car (cdr list)))
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(number-chinese-months (cdr (cdr list)) 1))
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;; Second month on list is not a leap month
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(number-chinese-months (cdr list) 1)))))))
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(defun calendar-absolute-from-chinese (date)
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"The number of days elapsed between the Gregorian date 12/31/1 BC and DATE.
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The Gregorian date Sunday, December 31, 1 BC is imaginary."
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(let* ((cycle (car date))
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(year (car (cdr date)))
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(month (car (cdr (cdr date))))
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(day (car (cdr (cdr (cdr date)))))
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(g-year (+ (* (1- cycle) 60);; years in prior cycles
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(1- year) ;; prior years this cycle
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-2636))) ;; years before absolute date 0
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(+ (1- day);; prior days this month
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(car
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(cdr ;; absolute date of start of this month
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(assoc month (append (memq (assoc 1 (chinese-year g-year))
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(chinese-year g-year))
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(chinese-year (1+ g-year)))))))))
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(defun calendar-chinese-from-absolute (date)
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"Compute Chinese date (cycle year month day) corresponding to absolute DATE.
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The absolute date is the number of days elapsed since the (imaginary)
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Gregorian date Sunday, December 31, 1 BC."
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(let* ((g-year (extract-calendar-year
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(calendar-gregorian-from-absolute date)))
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(c-year (+ g-year 2695))
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(list (append (chinese-year (1- g-year))
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(chinese-year g-year)
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(chinese-year (1+ g-year)))))
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(while (<= (car (cdr (car (cdr list)))) date)
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;; the first month on the list is in Chinese year c-year
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;; date is on or after start of second month on list...
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(if (= 1 (car (car (cdr list))))
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;; second month on list is a new Chinese year
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(setq c-year (1+ c-year)))
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;; ...so first month on list is of no interest
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(setq list (cdr list)))
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(list (/ (1- c-year) 60)
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(calendar-mod c-year 60)
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(car (car list))
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(1+ (- date (car (cdr (car list))))))))
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(defun holiday-chinese-new-year ()
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"Date of Chinese New Year."
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(let ((m displayed-month)
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(y displayed-year))
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(increment-calendar-month m y 1)
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(if (< m 5)
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(let ((chinese-new-year
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(calendar-gregorian-from-absolute
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(car (cdr (assoc 1 (chinese-year y)))))))
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(if (calendar-date-is-visible-p chinese-new-year)
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(list
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|
(list chinese-new-year
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|
(format "Chinese New Year (%s)"
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|
(calendar-chinese-sexagesimal-name (+ y 57))))))))))
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|
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(defun calendar-chinese-date-string (&optional date)
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|
"String of Chinese date of Gregorian DATE.
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|
Defaults to today's date if DATE is not given."
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|
(let* ((a-date (calendar-absolute-from-gregorian
|
|
(or date (calendar-current-date))))
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|
(c-date (calendar-chinese-from-absolute a-date))
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|
(cycle (car c-date))
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|
(year (car (cdr c-date)))
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|
(month (car (cdr (cdr c-date))))
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|
(day (car (cdr (cdr (cdr c-date)))))
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|
(this-month (calendar-absolute-from-chinese
|
|
(list cycle year month 1)))
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|
(next-month (calendar-absolute-from-chinese
|
|
(list (if (= year 60) (1+ cycle) cycle)
|
|
(if (= (floor month) 12) (1+ year) year)
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|
(calendar-mod (1+ (floor month)) 12)
|
|
1)))
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|
(m-cycle (% (+ (* year 5) (floor month)) 60)))
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|
(format "Cycle %s, year %s (%s), %smonth %s%s, day %s (%s)"
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|
cycle
|
|
year (calendar-chinese-sexagesimal-name year)
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|
(if (not (integerp month))
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|
"second "
|
|
(if (< 30 (- next-month this-month))
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|
"first "
|
|
""))
|
|
(floor month)
|
|
(if (integerp month)
|
|
(format " (%s)" (calendar-chinese-sexagesimal-name
|
|
(+ (* 12 year) month 50)))
|
|
"")
|
|
day (calendar-chinese-sexagesimal-name (+ a-date 15)))))
|
|
|
|
(defun calendar-chinese-sexagesimal-name (n)
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|
"The N-th name of the Chinese sexagesimal cycle.
|
|
N congruent to 1 gives the first name, N congruent to 2 gives the second name,
|
|
..., N congruent to 60 gives the sixtieth name."
|
|
(format "%s-%s"
|
|
(aref chinese-calendar-celestial-stem (% (1- n) 10))
|
|
(aref chinese-calendar-terrestrial-branch (% (1- n) 12))))
|
|
|
|
(defun calendar-print-chinese-date ()
|
|
"Show the Chinese date equivalents of date."
|
|
(interactive)
|
|
(message "Computing Chinese date...")
|
|
(message "Chinese date: %s"
|
|
(calendar-chinese-date-string (calendar-cursor-to-date t))))
|
|
|
|
(defun calendar-goto-chinese-date (date &optional noecho)
|
|
"Move cursor to Chinese date DATE.
|
|
Echo Chinese date unless NOECHO is t."
|
|
(interactive
|
|
(let* ((c (calendar-chinese-from-absolute
|
|
(calendar-absolute-from-gregorian
|
|
(calendar-current-date))))
|
|
(cycle (calendar-read
|
|
"Chinese calendar cycle number (>44): "
|
|
'(lambda (x) (> x 44))
|
|
(int-to-string (car c))))
|
|
(year (calendar-read
|
|
"Year in Chinese cycle (1..60): "
|
|
'(lambda (x) (and (<= 1 x) (<= x 60)))
|
|
(int-to-string (car (cdr c)))))
|
|
(month-list (make-chinese-month-assoc-list
|
|
(chinese-months cycle year)))
|
|
(month (cdr (assoc
|
|
(completing-read "Chinese calendar month: "
|
|
month-list nil t)
|
|
month-list)))
|
|
(last (if (= month
|
|
(car (cdr (cdr
|
|
(calendar-chinese-from-absolute
|
|
(+ 29
|
|
(calendar-absolute-from-chinese
|
|
(list cycle year month 1))))))))
|
|
30
|
|
29))
|
|
(day (calendar-read
|
|
(format "Chinese calendar day (1-%d): " last)
|
|
'(lambda (x) (and (<= 1 x) (<= x last))))))
|
|
(list (list cycle year month day))))
|
|
(calendar-goto-date (calendar-gregorian-from-absolute
|
|
(calendar-absolute-from-chinese date)))
|
|
(or noecho (calendar-print-chinese-date)))
|
|
|
|
(defun chinese-months (c y)
|
|
"A list of the months in cycle C, year Y of the Chinese calendar."
|
|
(let* ((l (memq 1 (append
|
|
(mapcar '(lambda (x)
|
|
(car x))
|
|
(chinese-year (extract-calendar-year
|
|
(calendar-gregorian-from-absolute
|
|
(calendar-absolute-from-chinese
|
|
(list c y 1 1))))))
|
|
(mapcar '(lambda (x)
|
|
(if (> (car x) 11) (car x)))
|
|
(chinese-year (extract-calendar-year
|
|
(calendar-gregorian-from-absolute
|
|
(calendar-absolute-from-chinese
|
|
(list (if (= y 60) (1+ c) c)
|
|
(if (= y 60) 1 y)
|
|
1 1))))))))))
|
|
l))
|
|
|
|
(defun make-chinese-month-assoc-list (l)
|
|
"Make list of months L into an assoc list."
|
|
(if (and l (car l))
|
|
(if (and (cdr l) (car (cdr l)))
|
|
(if (= (car l) (floor (car (cdr l))))
|
|
(append
|
|
(list (cons (format "%s (first)" (car l)) (car l))
|
|
(cons (format "%s (second)" (car l)) (car (cdr l))))
|
|
(make-chinese-month-assoc-list (cdr (cdr l))))
|
|
(append
|
|
(list (cons (int-to-string (car l)) (car l)))
|
|
(make-chinese-month-assoc-list (cdr l))))
|
|
(list (cons (int-to-string (car l)) (car l))))))
|
|
|
|
(defun diary-chinese-date ()
|
|
"Chinese calendar equivalent of date diary entry."
|
|
(format "Chinese date: %s" (calendar-chinese-date-string date)))
|
|
|
|
(provide 'cal-china)
|
|
|
|
;;; arch-tag: 7e5b7e0d-676c-47e3-8696-93e7ea0ab644
|
|
;;; cal-china.el ends here
|