;;; solar.el --- calendar functions for solar events
-;; Copyright (C) 1992, 1993, 1995, 1997 Free Software Foundation, Inc.
+;; Copyright (C) 1992, 1993, 1995, 1997, 2003 Free Software Foundation, Inc.
;; Author: Edward M. Reingold <reingold@cs.uiuc.edu>
;; Denis B. Roegel <Denis.Roegel@loria.fr>
;;; Code:
+(defvar displayed-month)
+(defvar displayed-year)
+
(if (fboundp 'atan)
(require 'lisp-float-type)
(error "Solar/lunar calculations impossible since floating point is unavailable"))
"*The pseudo-pattern that governs the way a time of day is formatted.
A pseudo-pattern is a list of expressions that can involve the keywords
-`12-hours', `24-hours', and `minutes', all numbers in string form,
-and `am-pm' and `time-zone', both alphabetic strings.
+`12-hours', `24-hours', and `minutes', all numbers in string form,
+and `am-pm' and `time-zone', both alphabetic strings.
For example, the form
'("Autumnal Equinox" "Winter Solstice" "Vernal Equinox" "Summer Solstice")
"List of season changes for the southern hemisphere.")
-(defvar solar-sidereal-time-greenwich-midnight
- nil
+(defvar solar-sidereal-time-greenwich-midnight
+ nil
"Sidereal time at Greenwich at midnight (universal time).")
-(defvar solar-spring-or-summer-season nil
- "T if spring or summer and nil otherwise.
+(defvar solar-northern-spring-or-summer-season nil
+ "Non-nil if northern spring or summer and nil otherwise.
Needed for polar areas, in order to know whether the day lasts 0 or 24 hours.")
(defun solar-setup ()
(condition-case nil
(tan (degrees-to-radians (mod x 360.0)))
(solar-tangent-degrees x)))
-
+
(defun solar-xy-to-quadrant (x y)
"Determines the quadrant of the point X, Y."
(if (> x 0)
"Arctan of point X, Y."
(if (= x 0)
(if (> y 0) 90 270)
- (solar-arctan (/ y x) x)))
+ (solar-arctan (/ y x) (solar-xy-to-quadrant x y))))
(defun solar-arccos (x)
"Arcos of X."
(* (solar-sin-degrees obliquity)
(solar-sin-degrees longitude))))
-(defun solar-sunrise-and-sunset (time latitude longitude)
- "Sunrise, sunset and length of day.
+(defun solar-sunrise-and-sunset (time latitude longitude height)
+ "Sunrise, sunset and length of day.
Parameters are the midday TIME and the LATITUDE, LONGITUDE of the location.
TIME is a pair with the first component being the number of Julian centuries
\(-0.040945 16), -0.040945 being the number of julian centuries elapsed between
Jan 1, 2000 at 12 UT and November 28, 1995 at 0 UT.
-Coordinates are included because this function is called with latitude=10
+HEIGHT is the angle the center of the sun has over the horizon for the contact
+we are trying to find. For sunrise and sunset, it is usually -0.61 degrees,
+accounting for the edge of the sun being on the horizon.
+
+Coordinates are included because this function is called with latitude=1
degrees to find out if polar regions have 24 hours of sun or only night."
- (let* ((rise-time (solar-moment -1 latitude longitude time))
- (set-time (solar-moment 1 latitude longitude time))
+ (let* ((rise-time (solar-moment -1 latitude longitude time height))
+ (set-time (solar-moment 1 latitude longitude time height))
(day-length))
(if (not (and rise-time set-time))
- (if (or (and (> latitude 0) solar-spring-or-summer-season)
- (and (< latitude 0) (not solar-spring-or-summer-season)))
- (setq day-length 24)
- (setq day-length 0))
- (setq day-length (- set-time rise-time)))
+ (if (or (and (> latitude 0)
+ solar-northern-spring-or-summer-season)
+ (and (< latitude 0)
+ (not solar-northern-spring-or-summer-season)))
+ (setq day-length 24)
+ (setq day-length 0))
+ (setq day-length (- set-time rise-time)))
(list (if rise-time (+ rise-time (/ calendar-time-zone 60.0)) nil)
(if set-time (+ set-time (/ calendar-time-zone 60.0)) nil)
day-length)))
-(defun solar-moment (direction latitude longitude time)
+(defun solar-moment (direction latitude longitude time height)
"Sunrise/sunset at location.
Sunrise if DIRECTION =-1 or sunset if =1 at LATITUDE, LONGITUDE, with midday
being TIME.
\(-0.040945 16), -0.040945 being the number of julian centuries elapsed between
Jan 1, 2000 at 12 UT and November 28, 1995 at 0 UT.
+HEIGHT is the angle the center of the sun has over the horizon for the contact
+we are trying to find. For sunrise and sunset, it is usually -0.61 degrees,
+accounting for the edge of the sun being on the horizon.
+
Uses binary search."
(let* ((ut (car (cdr time)))
- (possible 1) ; we assume that rise or set are possible
- (utmin (+ ut (* direction 12.0)))
+ (possible t) ; we assume that rise or set are possible
+ (utmin (+ ut (* direction 12.0)))
(utmax ut) ; the time searched is between utmin and utmax
; utmin and utmax are in hours
(utmoment-old 0.0) ; rise or set approximation
(utmoment 1.0) ; rise or set approximation
(hut 0) ; sun height at utmoment
(t0 (car time))
- (hmin (car (cdr
- (solar-horizontal-coordinates (list t0 utmin)
+ (hmin (car (cdr
+ (solar-horizontal-coordinates (list t0 utmin)
latitude longitude t))))
- (hmax (car (cdr
- (solar-horizontal-coordinates (list t0 utmax)
+ (hmax (car (cdr
+ (solar-horizontal-coordinates (list t0 utmax)
latitude longitude t)))))
; -0.61 degrees is the height of the middle of the sun, when it rises
; or sets.
- (if (< hmin -0.61)
- (if (> hmax -0.61)
+ (if (< hmin height)
+ (if (> hmax height)
(while ;(< i 20) ; we perform a simple dichotomy
- ; (> (abs (+ hut 0.61)) epsilon)
+ ; (> (abs (- hut height)) epsilon)
(>= (abs (- utmoment utmoment-old))
(/ solar-error 60))
(setq utmoment-old utmoment)
(setq utmoment (/ (+ utmin utmax) 2))
- (setq hut (car (cdr
- (solar-horizontal-coordinates
+ (setq hut (car (cdr
+ (solar-horizontal-coordinates
(list t0 utmoment) latitude longitude t))))
- (if (< hut -0.61) (setq utmin utmoment))
- (if (> hut -0.61) (setq utmax utmoment))
+ (if (< hut height) (setq utmin utmoment))
+ (if (> hut height) (setq utmax utmoment))
)
- (setq possible 0)) ; the sun never rises
- (setq possible 0)) ; the sun never sets
- (if (equal possible 0) nil utmoment)))
+ (setq possible nil)) ; the sun never rises
+ (setq possible nil)) ; the sun never sets
+ (if (not possible) nil utmoment)))
(defun solar-time-string (time time-zone)
"Printable form for decimal fraction TIME in TIME-ZONE.
(floor (* 60 (- time (floor time))))))
(defun solar-exact-local-noon (date)
- "Date and Universal Time of local noon at *local date* date.
+ "Date and Universal Time of local noon at *local date* date.
The date may be different from the one asked for, but it will be the right
local date. The second component of date should be an integer."
(te (solar-time-equation date ut)))
(setq ut (- ut te))
(if (>= ut 24)
- (progn
+ (progn
(setq nd (list (car date) (+ 1 (car (cdr date)))
(car (cdr (cdr date)))))
(setq ut (- ut 24))))
(if (< ut 0)
- (progn
+ (progn
(setq nd (list (car date) (- (car (cdr date)) 1)
(car (cdr (cdr date)))))
(setq ut (+ ut 24))))
Corresponding value is nil if there is no sunrise/sunset."
(let* (; first, get the exact moment of local noon.
(exact-local-noon (solar-exact-local-noon date))
- ; get the the time from the 2000 epoch.
+ ; get the time from the 2000 epoch.
(t0 (solar-julian-ut-centuries (car exact-local-noon)))
; store the sidereal time at Greenwich at midnight of UT time.
; find if summer or winter slightly above the equator
(equator-rise-set
- (progn (setq solar-sidereal-time-greenwich-midnight
+ (progn (setq solar-sidereal-time-greenwich-midnight
(solar-sidereal-time t0))
- (solar-sunrise-and-sunset
+ (solar-sunrise-and-sunset
(list t0 (car (cdr exact-local-noon)))
- 10.0
- (calendar-longitude))))
+ 1.0
+ (calendar-longitude) 0)))
; store the spring/summer information,
; compute sunrise and sunset (two first components of rise-set).
; length of day is the third component (it is only the difference
; between sunset and sunrise when there is a sunset and a sunrise)
(rise-set
(progn
- (setq solar-spring-or-summer-season
- (if (> (car (cdr (cdr equator-rise-set))) 12) 1 0))
- (solar-sunrise-and-sunset
+ (setq solar-northern-spring-or-summer-season
+ (if (> (car (cdr (cdr equator-rise-set))) 12) t nil))
+ (solar-sunrise-and-sunset
(list t0 (car (cdr exact-local-noon)))
(calendar-latitude)
- (calendar-longitude))))
+ (calendar-longitude) -0.61)))
(rise (car rise-set))
(adj-rise (if rise (dst-adjust-time date rise) nil))
(set (car (cdr rise-set)))
(defun solar-julian-ut-centuries (date)
"Number of Julian centuries elapsed since 1 Jan, 2000 at noon U.T. for Gregorian DATE."
- (/ (- (calendar-absolute-from-gregorian date)
+ (/ (- (calendar-absolute-from-gregorian date)
(calendar-absolute-from-gregorian '(1 1.5 2000)))
36525.0))
-
+
(defun solar-ephemeris-time(time)
"Ephemeris Time at moment TIME.
(setq end-long long)))
(/ (+ start end) 2.0)))
-(defun solar-horizontal-coordinates
+(defun solar-horizontal-coordinates
(time latitude longitude for-sunrise-sunset)
"Azimuth and height of the sun at TIME, LATITUDE, and LONGITUDE.
(* (solar-tangent-degrees de)
(solar-cosine-degrees latitude)))
(solar-sin-degrees ah)))
- (height (solar-arcsin
+ (height (solar-arcsin
(+ (* (solar-sin-degrees latitude) (solar-sin-degrees de))
(* (solar-cosine-degrees latitude)
(solar-cosine-degrees de)
time. For instance, the pair corresponding to November 28, 1995 at 16 UT is
\(-0.040945 16), -0.040945 being the number of julian centuries elapsed between
Jan 1, 2000 at 12 UT and November 28, 1995 at 0 UT."
- (let* ((tm (solar-ephemeris-time time))
+ (let* ((tm (solar-ephemeris-time time))
(ec (solar-ecliptic-coordinates tm for-sunrise-sunset)))
(list (solar-right-ascension (car ec) (car (cdr ec)))
(solar-declination (car ec) (car (cdr ec))))))
since January 1st, 2000, at 12 ET."
(let* ((l (+ 280.46645
(* 36000.76983 time)
- (* 0.0003032 time time))) ; sun mean longitude
+ (* 0.0003032 time time))) ; sun mean longitude
(ml (+ 218.3165
- (* 481267.8813 time))) ; moon mean longitude
+ (* 481267.8813 time))) ; moon mean longitude
(m (+ 357.52910
(* 35999.05030 time)
(* -0.0001559 time time)
- (* -0.00000048 time time time))) ; sun mean anomaly
+ (* -0.00000048 time time time))) ; sun mean anomaly
(i (+ 23.43929111 (* -0.013004167 time)
(* -0.00000016389 time time)
- (* 0.0000005036 time time time))); mean inclination
+ (* 0.0000005036 time time time))); mean inclination
(c (+ (* (+ 1.914600
(* -0.004817 time)
(* -0.000014 time time))
(* (+ 0.019993 (* -0.000101 time))
(solar-sin-degrees (* 2 m)))
(* 0.000290
- (solar-sin-degrees (* 3 m))))) ; center equation
- (L (+ l c)) ; total longitude
+ (solar-sin-degrees (* 3 m))))) ; center equation
+ (L (+ l c)) ; total longitude
(omega (+ 125.04
(* -1934.136 time))) ; longitude of moon's ascending node
; on the ecliptic
(* -0.00478
(solar-sin-degrees omega)))) ; apparent longitude of sun
(y (if (not for-sunrise-sunset)
- (* (solar-tangent-degrees (/ i 2))
+ (* (solar-tangent-degrees (/ i 2))
(solar-tangent-degrees (/ i 2)))
nil))
(time-eq (if (not for-sunrise-sunset)
(/ (* 12 (+ (* y (solar-sin-degrees (* 2 l)))
(* -2 ecc (solar-sin-degrees m))
- (* 4 ecc y (solar-sin-degrees m)
+ (* 4 ecc y (solar-sin-degrees m)
(solar-cosine-degrees (* 2 l)))
(* -0.5 y y (solar-sin-degrees (* 4 l)))
(* -1.25 ecc ecc (solar-sin-degrees (* 2 m)))))
(nut-i (solar-ecliptic-coordinates et nil))
(nut (car (cdr (cdr (cdr nut-i))))) ; nutation
(i (car (cdr nut-i)))) ; inclination
- (mod (+ (mod (+ mean-sid-time
+ (mod (+ (mod (+ mean-sid-time
(/ (/ (* nut (solar-cosine-degrees i)) 15) 3600)) 24.0)
24.0)
24.0)))
"Type \\[delete-other-windows] to remove temp window."
"Type \\[switch-to-buffer] RET to remove temp window.")
"Type \\[switch-to-buffer-other-window] RET to restore old contents of temp window."))))))
-
+
(defun calendar-sunrise-sunset ()
"Local time of sunrise and sunset for date under cursor.
Accurate to a few seconds."
(solar-setup))
(solar-sunrise-sunset-string date))
-(defun diary-sabbath-candles ()
+(defcustom diary-sabbath-candles-minutes 18
+ "*Number of minutes before sunset for sabbath candle lighting."
+ :group 'diary
+ :type 'integer
+ :version "21.1")
+
+(defun diary-sabbath-candles (&optional mark)
"Local time of candle lighting diary entry--applies if date is a Friday.
-No diary entry if there is no sunset on that date."
+No diary entry if there is no sunset on that date.
+
+An optional parameter MARK specifies a face or single-character string to
+use when highlighting the day in the calendar."
(if (not (and calendar-latitude calendar-longitude calendar-time-zone))
(solar-setup))
(if (= (% (calendar-absolute-from-gregorian date) 7) 5);; Friday
(let* ((sunset (car (cdr (solar-sunrise-sunset date))))
- (light (if sunset
- (cons (- (car sunset) (/ 18.0 60.0)) (cdr sunset)))))
+ (light (if sunset
+ (cons (- (car sunset)
+ (/ diary-sabbath-candles-minutes 60.0))
+ (cdr sunset)))))
(if sunset
- (format "%s Sabbath candle lighting"
- (apply 'solar-time-string light))))))
+ (cons mark
+ (format "%s Sabbath candle lighting"
+ (apply 'solar-time-string light)))))))
+
+; from Meeus, 1991, page 167
+(defconst solar-seasons-data
+ '((485 324.96 1934.136)
+ (203 337.23 32964.467)
+ (199 342.08 20.186)
+ (182 27.85 445267.112)
+ (156 73.14 45036.886)
+ (136 171.52 22518.443)
+ (77 222.54 65928.934)
+ (74 296.72 3034.906)
+ (70 243.58 9037.513)
+ (58 119.81 33718.147)
+ (52 297.17 150.678)
+ (50 21.02 2281.226)
+ (45 247.54 29929.562)
+ (44 325.15 31555.956)
+ (29 60.93 4443.417)
+ (18 155.12 67555.328)
+ (17 288.79 4562.452)
+ (16 198.04 62894.029)
+ (14 199.76 31436.921)
+ (12 95.39 14577.848)
+ (12 287.11 31931.756)
+ (12 320.81 34777.259)
+ (9 227.73 1222.114)
+ (8 15.45 16859.074)))
(defun solar-equinoxes/solstices (k year)
"Date of equinox/solstice K for YEAR.
K=0, spring equinox; K=1, summer solstice; K=2, fall equinox;
-K=3, winter solstice.
+K=3, winter solstice.
RESULT is a gregorian local date.
Accurate to less than a minute between 1951 and 2050."
(W (- (* 35999.373 T) 2.47))
(Delta-lambda (+ 1 (* 0.0334 (solar-cosine-degrees W))
(* 0.0007 (solar-cosine-degrees (* 2 W)))))
- (S (apply '+ (mapcar '(lambda(x)
- (* (car x) (solar-cosine-degrees
+ (S (apply '+ (mapcar '(lambda(x)
+ (* (car x) (solar-cosine-degrees
(+ (* (car (cdr (cdr x))) T)
- (car (cdr x))))))
+ (car (cdr x))))))
solar-seasons-data)))
(JDE (+ JDE0 (/ (* 0.00001 S) Delta-lambda)))
- (correction (+ 102.3 (* 123.5 T) (* 32.5 T T)))
+ (correction (+ 102.3 (* 123.5 T) (* 32.5 T T)))
; ephemeris time correction
(JD (- JDE (/ correction 86400)))
(date (calendar-gregorian-from-absolute (floor (- JD 1721424.5))))
; from Meeus, 1991, page 166
(defun solar-mean-equinoxes/solstices (k year)
- "Julian day of mean equinox/solstice K for YEAR.
+ "Julian day of mean equinox/solstice K for YEAR.
K=0, spring equinox; K=1, summer solstice; K=2, fall equinox; K=3, winter
solstice. These formulas are only to be used between 1000 BC and 3000 AD."
(let ((y (/ year 1000.0))
(* -0.00823 z z z)
(* 0.00032 z z z z)))))))
-; from Meeus, 1991, page 167
-(defconst solar-seasons-data
- '((485 324.96 1934.136)
- (203 337.23 32964.467)
- (199 342.08 20.186)
- (182 27.85 445267.112)
- (156 73.14 45036.886)
- (136 171.52 22518.443)
- (77 222.54 65928.934)
- (74 296.72 3034.906)
- (70 243.58 9037.513)
- (58 119.81 33718.147)
- (52 297.17 150.678)
- (50 21.02 2281.226)
- (45 247.54 29929.562)
- (44 325.15 31555.956)
- (29 60.93 4443.417)
- (18 155.12 67555.328)
- (17 288.79 4562.452)
- (16 198.04 62894.029)
- (14 199.76 31436.921)
- (12 95.39 14577.848)
- (12 287.11 31931.756)
- (12 320.81 34777.259)
- (9 227.73 1222.114)
- (8 15.45 16859.074)))
-
;;;###autoload
(defun solar-equinoxes-solstices ()
"*local* date and time of equinoxes and solstices, if visible in the calendar window.
(if calendar-time-zone calendar-daylight-savings-ends))
(calendar-time-zone (if calendar-time-zone calendar-time-zone 0))
(k (1- (/ m 3)))
- (d0 (solar-equinoxes/solstices k y))
+ (d0 (solar-equinoxes/solstices k y))
(d1 (list (car d0) (floor (car (cdr d0))) (car (cdr (cdr d0)))))
(h0 (* 24 (- (car (cdr d0)) (floor (car (cdr d0))))))
(adj (dst-adjust-time d1 h0))
- (d (list (car d1) (+ (car (cdr d1))
- (/ (car (cdr adj)) 24.0))
- (car (cdr (cdr d1)))))
+ (d (list (car (car adj))
+ (+ (car (cdr (car adj)) )
+ (/ (car (cdr adj)) 24.0))
+ (car (cdr (cdr (car adj))))))
; The following is nearly as accurate, but not quite:
;(d0 (solar-date-next-longitude
; (calendar-astro-from-absolute
(provide 'solar)
+;;; arch-tag: bc0ff693-df58-4666-bde4-2a7837ccb8fe
;;; solar.el ends here
HCoop / bpt / emacs.git / blobdiff