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-;;; lunar.el --- calendar functions for phases of the moon.
-
-;; Copyright (C) 1992, 1993, 1995 Free Software Foundation, Inc.
-
-;; Author: Edward M. Reingold <reingold@cs.uiuc.edu>
-;; Keywords: calendar
-;; Human-Keywords: moon, lunar phases, calendar, diary
-
-;; This file is part of GNU Emacs.
-
-;; GNU Emacs is free software; you can redistribute it and/or modify
-;; it under the terms of the GNU General Public License as published by
-;; the Free Software Foundation; either version 2, or (at your option)
-;; any later version.
-
-;; GNU Emacs is distributed in the hope that it will be useful,
-;; but WITHOUT ANY WARRANTY; without even the implied warranty of
-;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-;; GNU General Public License for more details.
-
-;; You should have received a copy of the GNU General Public License
-;; along with GNU Emacs; see the file COPYING. If not, write to the
-;; Free Software Foundation, Inc., 59 Temple Place - Suite 330,
-;; Boston, MA 02111-1307, USA.
-
-;;; Commentary:
-
-;; This collection of functions implements lunar phases for calendar.el and
-;; diary.el.
-
-;; Based on ``Astronomical Formulae for Calculators,'' 3rd ed., by Jean Meeus,
-;; Willmann-Bell, Inc., 1985 and ``Astronomical Algorithms'' by Jean Meeus,
-;; Willmann-Bell, Inc., 1991.
-;;
-;; WARNING: The calculations will be accurate only to within a few minutes.
-
-;; The author would be delighted to have an astronomically more sophisticated
-;; person rewrite the code for the lunar calculations in this file!
-
-;; Comments, corrections, and improvements should be sent to
-;; Edward M. Reingold Department of Computer Science
-;; (217) 333-6733 University of Illinois at Urbana-Champaign
-;; reingold@cs.uiuc.edu 1304 West Springfield Avenue
-;; Urbana, Illinois 61801
-
-;;; Code:
-
-(if (fboundp 'atan)
- (require 'lisp-float-type)
- (error "Lunar calculations impossible since floating point is unavailable."))
-
-(require 'solar)
-
-(defun lunar-phase-list (month year)
- "List of lunar phases for three months starting with Gregorian MONTH, YEAR."
- (let ((end-month month)
- (end-year year)
- (start-month month)
- (start-year year))
- (increment-calendar-month end-month end-year 3)
- (increment-calendar-month start-month start-year -1)
- (let* ((end-date (list (list end-month 1 end-year)))
- (start-date (list (list start-month
- (calendar-last-day-of-month
- start-month start-year)
- start-year)))
- (index (* 4
- (truncate
- (* 12.3685
- (+ year
- ( / (calendar-day-number (list month 1 year))
- 366.0)
- -1900)))))
- (new-moon (lunar-phase index))
- (list))
- (while (calendar-date-compare new-moon end-date)
- (if (calendar-date-compare start-date new-moon)
- (setq list (append list (list new-moon))))
- (setq index (1+ index))
- (setq new-moon (lunar-phase index)))
- list)))
-
-(defun lunar-phase (index)
- "Local date and time of lunar phase INDEX.
-Integer below INDEX/4 gives the lunation number, counting from Jan 1, 1900;
-remainder mod 4 gives the phase: 0 new moon, 1 first quarter, 2 full moon,
-3 last quarter."
- (let* ((phase (mod index 4))
- (index (/ index 4.0))
- (time (/ index 1236.85))
- (date (+ (calendar-absolute-from-gregorian '(1 0.5 1900))
- 0.75933
- (* 29.53058868 index)
- (* 0.0001178 time time)
- (* -0.000000155 time time time)
- (* 0.00033
- (solar-sin-degrees (+ 166.56
- (* 132.87 time)
- (* -0.009173 time time))))))
- (sun-anomaly (mod
- (+ 359.2242
- (* 29.105356 index)
- (* -0.0000333 time time)
- (* -0.00000347 time time time))
- 360.0))
- (moon-anomaly (mod
- (+ 306.0253
- (* 385.81691806 index)
- (* 0.0107306 time time)
- (* 0.00001236 time time time))
- 360.0))
- (moon-lat (mod
- (+ 21.2964
- (* 390.67050646 index)
- (* -0.0016528 time time)
- (* -0.00000239 time time time))
- 360.0))
- (adjustment
- (if (memq phase '(0 2))
- (+ (* (- 0.1734 (* 0.000393 time))
- (solar-sin-degrees sun-anomaly))
- (* 0.0021 (solar-sin-degrees (* 2 sun-anomaly)))
- (* -0.4068 (solar-sin-degrees moon-anomaly))
- (* 0.0161 (solar-sin-degrees (* 2 moon-anomaly)))
- (* -0.0004 (solar-sin-degrees (* 3 moon-anomaly)))
- (* 0.0104 (solar-sin-degrees (* 2 moon-lat)))
- (* -0.0051 (solar-sin-degrees (+ sun-anomaly moon-anomaly)))
- (* -0.0074 (solar-sin-degrees (- sun-anomaly moon-anomaly)))
- (* 0.0004 (solar-sin-degrees (+ (* 2 moon-lat) sun-anomaly)))
- (* -0.0004 (solar-sin-degrees (- (* 2 moon-lat) sun-anomaly)))
- (* -0.0006 (solar-sin-degrees
- (+ (* 2 moon-lat) moon-anomaly)))
- (* 0.0010 (solar-sin-degrees (- (* 2 moon-lat) moon-anomaly)))
- (* 0.0005 (solar-sin-degrees
- (+ (* 2 moon-anomaly) sun-anomaly))))
- (+ (* (- 0.1721 (* 0.0004 time))
- (solar-sin-degrees sun-anomaly))
- (* 0.0021 (solar-sin-degrees (* 2 sun-anomaly)))
- (* -0.6280 (solar-sin-degrees moon-anomaly))
- (* 0.0089 (solar-sin-degrees (* 2 moon-anomaly)))
- (* -0.0004 (solar-sin-degrees (* 3 moon-anomaly)))
- (* 0.0079 (solar-sin-degrees (* 2 moon-lat)))
- (* -0.0119 (solar-sin-degrees (+ sun-anomaly moon-anomaly)))
- (* -0.0047 (solar-sin-degrees (- sun-anomaly moon-anomaly)))
- (* 0.0003 (solar-sin-degrees (+ (* 2 moon-lat) sun-anomaly)))
- (* -0.0004 (solar-sin-degrees (- (* 2 moon-lat) sun-anomaly)))
- (* -0.0006 (solar-sin-degrees (+ (* 2 moon-lat) moon-anomaly)))
- (* 0.0021 (solar-sin-degrees (- (* 2 moon-lat) moon-anomaly)))
- (* 0.0003 (solar-sin-degrees
- (+ (* 2 moon-anomaly) sun-anomaly)))
- (* 0.0004 (solar-sin-degrees
- (- sun-anomaly (* 2 moon-anomaly))))
- (* -0.0003 (solar-sin-degrees
- (+ (* 2 sun-anomaly) moon-anomaly))))))
- (adj (+ 0.0028
- (* -0.0004 (solar-cosine-degrees
- sun-anomaly))
- (* 0.0003 (solar-cosine-degrees
- moon-anomaly))))
- (adjustment (cond ((= phase 1) (+ adjustment adj))
- ((= phase 2) (- adjustment adj))
- (t adjustment)))
- (date (+ date adjustment))
- (date (+ date (/ (- calendar-time-zone
- (solar-ephemeris-correction
- (extract-calendar-year
- (calendar-gregorian-from-absolute
- (truncate date)))))
- 60.0 24.0)))
- (time (* 24 (- date (truncate date))))
- (date (calendar-gregorian-from-absolute (truncate date)))
- (adj (dst-adjust-time date time)))
- (list (car adj) (apply 'solar-time-string (cdr adj)) phase)))
-
-(defun lunar-phase-name (phase)
- "Name of lunar PHASE.
-0 = new moon, 1 = first quarter, 2 = full moon, 3 = last quarter."
- (cond ((= 0 phase) "New Moon")
- ((= 1 phase) "First Quarter Moon")
- ((= 2 phase) "Full Moon")
- ((= 3 phase) "Last Quarter Moon")))
-
-(defun calendar-phases-of-moon ()
- "Create a buffer with the lunar phases for the current calendar window."
- (interactive)
- (message "Computing phases of the moon...")
- (let ((m1 displayed-month)
- (y1 displayed-year)
- (m2 displayed-month)
- (y2 displayed-year))
- (increment-calendar-month m1 y1 -1)
- (increment-calendar-month m2 y2 1)
- (set-buffer (get-buffer-create lunar-phases-buffer))
- (setq buffer-read-only nil)
- (calendar-set-mode-line
- (if (= y1 y2)
- (format "Phases of the Moon from %s to %s, %d%%-"
- (calendar-month-name m1) (calendar-month-name m2) y2)
- (format "Phases of the Moon from %s, %d to %s, %d%%-"
- (calendar-month-name m1) y1 (calendar-month-name m2) y2)))
- (erase-buffer)
- (insert
- (mapconcat
- '(lambda (x)
- (let ((date (car x))
- (time (car (cdr x)))
- (phase (car (cdr (cdr x)))))
- (concat (calendar-date-string date)
- ": "
- (lunar-phase-name phase)
- " "
- time)))
- (lunar-phase-list m1 y1) "\n"))
- (goto-char (point-min))
- (set-buffer-modified-p nil)
- (setq buffer-read-only t)
- (display-buffer lunar-phases-buffer)
- (message "Computing phases of the moon...done")))
-
-;;;###autoload
-(defun phases-of-moon (&optional arg)
- "Display the quarters of the moon for last month, this month, and next month.
-If called with an optional prefix argument, prompts for month and year.
-
-This function is suitable for execution in a .emacs file."
- (interactive "P")
- (save-excursion
- (let* ((date (if arg
- (calendar-read-date t)
- (calendar-current-date)))
- (displayed-month (extract-calendar-month date))
- (displayed-year (extract-calendar-year date)))
- (calendar-phases-of-moon))))
-
-(defun diary-phases-of-moon ()
- "Moon phases diary entry."
- (let* ((index (* 4
- (truncate
- (* 12.3685
- (+ (extract-calendar-year date)
- ( / (calendar-day-number date)
- 366.0)
- -1900)))))
- (phase (lunar-phase index)))
- (while (calendar-date-compare phase (list date))
- (setq index (1+ index))
- (setq phase (lunar-phase index)))
- (if (calendar-date-equal (car phase) date)
- (concat (lunar-phase-name (car (cdr (cdr phase)))) " "
- (car (cdr phase))))))
-
-
-;; For the Chinese calendar the calculations for the new moon need to be more
-;; accurate than those above, so we use more terms in the approximation.
-
-(defun lunar-new-moon-time (k)
- "Astronomical (Julian) day number of K th new moon."
- (let* ((T (/ k 1236.85))
- (T2 (* T T))
- (T3 (* T T T))
- (T4 (* T2 T2))
- (JDE (+ 2451550.09765
- (* 29.530588853 k)
- (* 0.0001337 T2)
- (* -0.000000150 T3)
- (* 0.00000000073 T4)))
- (E (- 1 (* 0.002516 T) (* 0.0000074 T2)))
- (sun-anomaly (+ 2.5534
- (* 29.10535669 k)
- (* -0.0000218 T2)
- (* -0.00000011 T3)))
- (moon-anomaly (+ 201.5643
- (* 385.81693528 k)
- (* 0.0107438 T2)
- (* 0.00001239 T3)
- (* -0.000000058 T4)))
- (moon-argument (+ 160.7108
- (* 390.67050274 k)
- (* -0.0016341 T2)
- (* -0.00000227 T3)
- (* 0.000000011 T4)))
- (omega (+ 124.7746
- (* -1.56375580 k)
- (* 0.0020691 T2)
- (* 0.00000215 T3)))
- (A1 (+ 299.77 (* 0.107408 k) (* -0.009173 T2)))
- (A2 (+ 251.88 (* 0.016321 k)))
- (A3 (+ 251.83 (* 26.641886 k)))
- (A4 (+ 349.42 (* 36.412478 k)))
- (A5 (+ 84.66 (* 18.206239 k)))
- (A6 (+ 141.74 (* 53.303771 k)))
- (A7 (+ 207.14 (* 2.453732 k)))
- (A8 (+ 154.84 (* 7.306860 k)))
- (A9 (+ 34.52 (* 27.261239 k)))
- (A10 (+ 207.19 (* 0.121824 k)))
- (A11 (+ 291.34 (* 1.844379 k)))
- (A12 (+ 161.72 (* 24.198154 k)))
- (A13 (+ 239.56 (* 25.513099 k)))
- (A14 (+ 331.55 (* 3.592518 k)))
- (correction
- (+ (* -0.40720 (solar-sin-degrees moon-anomaly))
- (* 0.17241 E (solar-sin-degrees sun-anomaly))
- (* 0.01608 (solar-sin-degrees (* 2 moon-anomaly)))
- (* 0.01039 (solar-sin-degrees (* 2 moon-argument)))
- (* 0.00739 E (solar-sin-degrees (- moon-anomaly sun-anomaly)))
- (* -0.00514 E (solar-sin-degrees (+ moon-anomaly sun-anomaly)))
- (* 0.00208 E E (solar-sin-degrees (* 2 sun-anomaly)))
- (* -0.00111 (solar-sin-degrees
- (- moon-anomaly (* 2 moon-argument))))
- (* -0.00057 (solar-sin-degrees
- (+ moon-anomaly (* 2 moon-argument))))
- (* 0.00056 E (solar-sin-degrees
- (+ (* 2 moon-anomaly) sun-anomaly)))
- (* -0.00042 (solar-sin-degrees (* 3 moon-anomaly)))
- (* 0.00042 E (solar-sin-degrees
- (+ sun-anomaly (* 2 moon-argument))))
- (* 0.00038 E (solar-sin-degrees
- (- sun-anomaly (* 2 moon-argument))))
- (* -0.00024 E (solar-sin-degrees
- (- (* 2 moon-anomaly) sun-anomaly)))
- (* -0.00017 (solar-sin-degrees omega))
- (* -0.00007 (solar-sin-degrees
- (+ moon-anomaly (* 2 sun-anomaly))))
- (* 0.00004 (solar-sin-degrees
- (- (* 2 moon-anomaly) (* 2 moon-argument))))
- (* 0.00004 (solar-sin-degrees (* 3 sun-anomaly)))
- (* 0.00003 (solar-sin-degrees (+ moon-anomaly sun-anomaly
- (* -2 moon-argument))))
- (* 0.00003 (solar-sin-degrees
- (+ (* 2 moon-anomaly) (* 2 moon-argument))))
- (* -0.00003 (solar-sin-degrees (+ moon-anomaly sun-anomaly
- (* 2 moon-argument))))
- (* 0.00003 (solar-sin-degrees (- moon-anomaly sun-anomaly
- (* -2 moon-argument))))
- (* -0.00002 (solar-sin-degrees (- moon-anomaly sun-anomaly
- (* 2 moon-argument))))
- (* -0.00002 (solar-sin-degrees
- (+ (* 3 moon-anomaly) sun-anomaly)))
- (* 0.00002 (solar-sin-degrees (* 4 moon-anomaly)))))
- (additional
- (+ (* 0.000325 (solar-sin-degrees A1))
- (* 0.000165 (solar-sin-degrees A2))
- (* 0.000164 (solar-sin-degrees A3))
- (* 0.000126 (solar-sin-degrees A4))
- (* 0.000110 (solar-sin-degrees A5))
- (* 0.000062 (solar-sin-degrees A6))
- (* 0.000060 (solar-sin-degrees A7))
- (* 0.000056 (solar-sin-degrees A8))
- (* 0.000047 (solar-sin-degrees A9))
- (* 0.000042 (solar-sin-degrees A10))
- (* 0.000040 (solar-sin-degrees A11))
- (* 0.000037 (solar-sin-degrees A12))
- (* 0.000035 (solar-sin-degrees A13))
- (* 0.000023 (solar-sin-degrees A14))))
- (newJDE (+ JDE correction additional)))
- (+ newJDE
- (- (solar-ephemeris-correction
- (extract-calendar-year
- (calendar-gregorian-from-absolute
- (floor (calendar-absolute-from-astro newJDE))))))
- (/ calendar-time-zone 60.0 24.0))))
-
-(defun lunar-new-moon-on-or-after (d)
- "Astronomical (Julian) day number of first new moon on or after astronomical
-\(Julian) day number d. The fractional part is the time of day.
-
-The date and time are local time, including any daylight savings rules,
-as governed by the values of calendar-daylight-savings-starts,
-calendar-daylight-savings-starts-time, calendar-daylight-savings-ends,
-calendar-daylight-savings-ends-time, calendar-daylight-time-offset, and
-calendar-time-zone."
- (let* ((date (calendar-gregorian-from-absolute
- (floor (calendar-absolute-from-astro d))))
- (year (+ (extract-calendar-year date)
- (/ (calendar-day-number date) 365.25)))
- (k (floor (* (- year 2000.0) 12.3685)))
- (date (lunar-new-moon-time k)))
- (while (< date d)
- (setq k (1+ k))
- (setq date (lunar-new-moon-time k)))
- (let* ((a-date (calendar-absolute-from-astro date))
- (time (* 24 (- a-date (truncate a-date))))
- (date (calendar-gregorian-from-absolute (truncate a-date)))
- (adj (dst-adjust-time date time)))
- (calendar-astro-from-absolute
- (+ (calendar-absolute-from-gregorian (car adj))
- (/ (car (cdr adj)) 24.0))))))
-
-(provide 'lunar)
-
-;;; lunar.el ends here
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