;;; Some of these functions are adapted from Edward Reingold's "calendar.el".
;;; These versions are rewritten to use arbitrary-size integers.
-;;; The Julian calendar is used up to 9/2/1752, after which the Gregorian
-;;; calendar is used; the first day after 9/2/1752 is 9/14/1752.
;;; A numerical date is the number of days since midnight on
-;;; the morning of January 1, 1 A.D. If the date is a non-integer,
-;;; it represents a specific date and time.
+;;; the morning of December 31, 1 B.C. Emacs's calendar refers to such
+;;; a date as an absolute date, some function names also use that
+;;; terminology. If the date is a non-integer, it represents a specific date and time.
;;; A "dt" is a list of the form, (year month day), corresponding to
;;; an integer code, or (year month day hour minute second), corresponding
;;; to a non-integer code.
+(defun math-date-to-gregorian-dt (date)
+ "Return the day (YEAR MONTH DAY) in the Gregorian calendar.
+DATE is the number of days since December 31, -1 in the Gregorian calendar."
+ (let* ((month 1)
+ day
+ (year (math-quotient (math-add date (if (Math-lessp date 711859)
+ 365 ; for speed, we take
+ -108)) ; >1950 as a special case
+ (if (math-negp date) 366 365)))
+ ; this result may be an overestimate
+ temp)
+ (while (Math-lessp date (setq temp (math-absolute-from-gregorian-dt year 1 1)))
+ (setq year (math-add year -1)))
+ (if (eq year 0) (setq year -1))
+ (setq date (1+ (math-sub date temp)))
+ (setq temp
+ (if (math-leap-year-p year)
+ [1 32 61 92 122 153 183 214 245 275 306 336 999]
+ [1 32 60 91 121 152 182 213 244 274 305 335 999]))
+ (while (>= date (aref temp month))
+ (setq month (1+ month)))
+ (setq day (1+ (- date (aref temp (1- month)))))
+ (list year month day)))
+
+(defun math-date-to-julian-dt (date)
+ "Return the day (YEAR MONTH DAY) in the Julian calendar.
+DATE is the number of days since December 31, -1 in the Gregorian calendar."
+ (let* ((month 1)
+ day
+ (year (math-quotient (math-add date (if (Math-lessp date 711859)
+ 365 ; for speed, we take
+ -108)) ; >1950 as a special case
+ (if (math-negp date) 366 365)))
+ ; this result may be an overestimate
+ temp)
+ (while (Math-lessp date (setq temp (math-absolute-from-julian-dt year 1 1)))
+ (setq year (math-add year -1)))
+ (if (eq year 0) (setq year -1))
+ (setq date (1+ (math-sub date temp)))
+ (setq temp
+ (if (math-leap-year-p year t)
+ [1 32 61 92 122 153 183 214 245 275 306 336 999]
+ [1 32 60 91 121 152 182 213 244 274 305 335 999]))
+ (while (>= date (aref temp month))
+ (setq month (1+ month)))
+ (setq day (1+ (- date (aref temp (1- month)))))
+ (list year month day)))
+
(defun math-date-to-dt (value)
+ "Return the day and time of VALUE.
+The integer part of VALUE is the number of days since Dec 31, -1
+in the Gregorian calendar and the remaining part determines the time."
(if (eq (car-safe value) 'date)
(setq value (nth 1 value)))
(or (math-realp value)
(let* ((parts (math-date-parts value))
(date (car parts))
(time (nth 1 parts))
- (month 1)
- day
- (year (math-quotient (math-add date (if (Math-lessp date 711859)
- 365 ; for speed, we take
- -108)) ; >1950 as a special case
- (if (math-negp value) 366 365)))
- ; this result may be an overestimate
- temp)
- (while (Math-lessp date (setq temp (math-absolute-from-date year 1 1)))
- (setq year (math-add year -1)))
- (if (eq year 0) (setq year -1))
- (setq date (1+ (math-sub date temp)))
- (and (eq year 1752) (>= date 247)
- (setq date (+ date 11)))
- (setq temp (if (math-leap-year-p year)
- [1 32 61 92 122 153 183 214 245 275 306 336 999]
- [1 32 60 91 121 152 182 213 244 274 305 335 999]))
- (while (>= date (aref temp month))
- (setq month (1+ month)))
- (setq day (1+ (- date (aref temp (1- month)))))
+ (dt (if (and calc-gregorian-switch
+ (Math-lessp value
+ (or
+ (nth 3 calc-gregorian-switch)
+ (apply 'math-absolute-from-gregorian-dt calc-gregorian-switch))
+))
+ (math-date-to-julian-dt value)
+ (math-date-to-gregorian-dt value))))
(if (math-integerp value)
- (list year month day)
- (list year month day
- (/ time 3600)
- (% (/ time 60) 60)
- (math-add (% time 60) (nth 2 parts))))))
+ dt
+ (append dt
+ (list
+ (/ time 3600)
+ (% (/ time 60) 60)
+ (math-add (% time 60) (nth 2 parts)))))))
(defun math-dt-to-date (dt)
(or (integerp (nth 1 dt))
(math-reject-arg (nth 2 dt) 'fixnump))
(if (or (< (nth 2 dt) 1) (> (nth 2 dt) 31))
(math-reject-arg (nth 2 dt) "Day value is out of range"))
- (let ((date (math-absolute-from-date (car dt) (nth 1 dt) (nth 2 dt))))
+ (let ((date (math-absolute-from-dt (car dt) (nth 1 dt) (nth 2 dt))))
(if (nth 3 dt)
(math-add (math-float date)
(math-div (math-add (+ (* (nth 3 dt) 3600)
(defun math-this-year ()
(nth 5 (decode-time)))
-(defun math-leap-year-p (year)
- (if (Math-lessp year 1752)
+(defun math-leap-year-p (year &optional julian)
+ "Non-nil if YEAR is a leap year.
+If JULIAN is non-nil, then use the criterion for leap years
+in the Julian calendar, otherwise use the criterion in the
+Gregorian calendar."
+ (if julian
(if (math-negp year)
(= (math-imod (math-neg year) 4) 1)
(= (math-imod year 4) 0))
29
(aref [31 28 31 30 31 30 31 31 30 31 30 31] (1- month))))
-(defun math-day-number (year month day)
+(defun math-day-in-year (year month day &optional julian)
+ "Return the number of days of the year up to YEAR MONTH DAY.
+The count includes the given date.
+If JULIAN is non-nil, use the Julian calendar, otherwise
+use the Gregorian calendar."
(let ((day-of-year (+ day (* 31 (1- month)))))
(if (> month 2)
(progn
(setq day-of-year (- day-of-year (/ (+ 23 (* 4 month)) 10)))
- (if (math-leap-year-p year)
+ (if (math-leap-year-p year julian)
(setq day-of-year (1+ day-of-year)))))
- (and (eq year 1752)
- (or (> month 9)
- (and (= month 9) (>= day 14)))
- (setq day-of-year (- day-of-year 11)))
day-of-year))
-(defun math-absolute-from-date (year month day)
+(defun math-day-number (year month day)
+ "Return the number of days of the year up to YEAR MONTH DAY.
+The count includes the given date."
+ (if calc-gregorian-switch
+ (cond ((math-equalp year (nth 0 calc-gregorian-switch))
+ (1+
+ (- (math-absolute-from-dt year month day)
+ (math-absolute-from-dt year 1 1))))
+ ((Math-lessp year (nth 0 calc-gregorian-switch))
+ (math-day-in-year year month day t))
+ (t
+ (math-day-in-year year month day)))
+ (math-day-in-year year month day)))
+
+(defun math-dt-before-p (dt1 dt2)
+ "Non-nil if DT1 occurs before DT2.
+A DT is a list of the form (YEAR MONTH DAY)."
+ (or (Math-lessp (nth 0 dt1) (nth 0 dt2))
+ (and (equal (nth 0 dt1) (nth 0 dt2))
+ (or (< (nth 1 dt1) (nth 1 dt2))
+ (and (= (nth 1 dt1) (nth 1 dt2))
+ (< (nth 2 dt1) (nth 2 dt2)))))))
+
+(defun math-absolute-from-gregorian-dt (year month day)
+ "Return the DATE of the day given by the Gregorian day YEAR MONTH DAY.
+Recall that DATE is the number of days since December 31, -1
+in the Gregorian calendar."
(if (eq year 0) (setq year -1))
(let ((yearm1 (math-sub year 1)))
- (math-sub (math-add (math-day-number year month day)
- (math-add (math-mul 365 yearm1)
- (if (math-posp year)
- (math-quotient yearm1 4)
- (math-sub 365
- (math-quotient (math-sub 3 year)
- 4)))))
- (if (or (Math-lessp year 1753)
- (and (eq year 1752) (<= month 9)))
- 1
- (let ((correction (math-mul (math-quotient yearm1 100) 3)))
- (let ((res (math-idivmod correction 4)))
- (math-add (if (= (cdr res) 0)
- -1
- 0)
- (car res))))))))
-
+ (math-sub
+ ;; Add the number of days of the year and the numbers of days
+ ;; in the previous years (leap year days to be added separately)
+ (math-add (math-day-in-year year month day)
+ (math-add (math-mul 365 yearm1)
+ ;; Add the number of Julian leap years
+ (if (math-posp year)
+ (math-quotient yearm1 4)
+ (math-sub 365
+ (math-quotient (math-sub 3 year)
+ 4)))))
+ ;; Subtract the number of Julian leap years which are not
+ ;; Gregorian leap years. In C=4N+r centuries, there will
+ ;; be 3N+r of these days. The following will compute
+ ;; 3N+r.
+ (let* ((correction (math-mul (math-quotient yearm1 100) 3))
+ (res (math-idivmod correction 4)))
+ (math-add (if (= (cdr res) 0)
+ 0
+ 1)
+ (car res))))))
+
+(defun math-absolute-from-julian-dt (year month day)
+ "Return the DATE of the day given by the Julian day YEAR MONTH DAY.
+Recall that DATE is the number of days since December 31, -1
+in the Gregorian calendar."
+ (if (eq year 0) (setq year -1))
+ (let ((yearm1 (math-sub year 1)))
+ (math-sub
+ ;; Add the number of days of the year and the numbers of days
+ ;; in the previous years (leap year days to be added separately)
+ (math-add (math-day-in-year year month day)
+ (math-add (math-mul 365 yearm1)
+ ;; Add the number of Julian leap years
+ (if (math-posp year)
+ (math-quotient yearm1 4)
+ (math-sub 365
+ (math-quotient (math-sub 3 year)
+ 4)))))
+ ;; Adjustment, since January 1, 1 (Julian) is absolute day -1
+ 2)))
+
+(defun math-absolute-from-dt (year month day)
+ "Return the DATE of the day given by the day YEAR MONTH DAY.
+Recall that DATE is the number of days since December 31, -1
+in the Gregorian calendar."
+ (if (and calc-gregorian-switch
+ ;; The next few lines determine if the given date
+ ;; occurs before the switch to the Gregorian calendar.
+ (math-dt-before-p (list year month day) calc-gregorian-switch))
+ (math-absolute-from-julian-dt year month day)
+ (math-absolute-from-gregorian-dt year month day)))
;;; It is safe to redefine these in your init file to use a different
;;; language.
math-fd-year (car math-fd-dt)
math-fd-month (nth 1 math-fd-dt)
math-fd-day (nth 2 math-fd-dt)
- math-fd-weekday (math-mod
- (math-add (math-floor math-fd-date) 6) 7)
+ math-fd-weekday (math-mod (math-floor math-fd-date) 7)
math-fd-hour (nth 3 math-fd-dt)
math-fd-minute (nth 4 math-fd-dt)
math-fd-second (nth 5 math-fd-dt))
(setq date (nth 1 date)))
(or (math-realp date)
(math-reject-arg date 'datep))
- (math-mod (math-add (math-floor date) 6) 7))
+ (math-mod (math-floor date) 7))
(defun calcFunc-yearday (date)
(let ((dt (math-date-to-dt date)))
0)))
(rounded-abs-date
(+
- (calendar-absolute-from-gregorian
+ (calendar-absolute-from-gregorian
(list (nth 1 dt) (nth 2 dt) (nth 0 dt)))
(/ (round (* 60 time)) 60.0 24.0))))
(if (dst-in-effect rounded-abs-date)
(and (math-messy-integerp day) (setq day (math-trunc day)))
(or (integerp day) (math-reject-arg day 'fixnump))
(and (or (< day 0) (> day 31)) (math-reject-arg day 'range))
- (let ((dt (math-date-to-dt date)))
- (if (or (= day 0) (> day (math-days-in-month (car dt) (nth 1 dt))))
- (setq day (math-days-in-month (car dt) (nth 1 dt))))
- (and (eq (car dt) 1752) (= (nth 1 dt) 9)
- (if (>= day 14) (setq day (- day 11))))
- (list 'date (math-add (math-dt-to-date (list (car dt) (nth 1 dt) 1))
- (1- day)))))
+ (let* ((dt (math-date-to-dt date))
+ (dim (math-days-in-month (car dt) (nth 1 dt)))
+ (julian (if calc-gregorian-switch
+ (math-date-to-dt (math-sub
+ (or (nth 3 calc-gregorian-switch)
+ (apply 'math-absolute-from-gregorian-dt calc-gregorian-switch))
+ 1)))))
+ (if (or (= day 0) (> day dim))
+ (setq day (1- dim))
+ (setq day (1- day)))
+ ;; Adjust if this occurs near the switch to the Gregorian calendar
+ (if calc-gregorian-switch
+ (cond
+ ((and (math-dt-before-p (list (car dt) (nth 1 dt) 1) calc-gregorian-switch)
+ (math-dt-before-p julian (list (car dt) (nth 1 dt) 1)))
+ ;; In this case, CALC-GREGORIAN-SWITCH is the first day of the month
+ (list 'date
+ (math-dt-to-date (list (car calc-gregorian-switch)
+ (nth 1 calc-gregorian-switch)
+ (if (> (+ (nth 2 calc-gregorian-switch) day) dim)
+ dim
+ (+ (nth 2 calc-gregorian-switch) day))))))
+ ((and (eq (car dt) (car calc-gregorian-switch))
+ (= (nth 1 dt) (nth 1 calc-gregorian-switch)))
+ ;; In this case, the switch to the Gregorian calendar occurs in the given month
+ (if (< (+ (nth 2 julian) day) (nth 2 calc-gregorian-switch))
+ ;; If the DAYth day occurs before the switch, use it
+ (list 'date (math-dt-to-date (list (car dt) (nth 1 dt) (1+ day))))
+ ;; Otherwise do some computations
+ (let ((tm (+ day (- (nth 2 calc-gregorian-switch) (nth 2 julian)))))
+ (list 'date (math-dt-to-date
+ (list (car dt)
+ (nth 1 dt)
+ ;;
+ (if (> tm dim) dim tm)))))))
+ ((and (eq (car dt) (car julian))
+ (= (nth 1 dt) (nth 1 julian)))
+ ;; In this case, the current month is truncated because of the switch
+ ;; to the Gregorian calendar
+ (list 'date (math-dt-to-date
+ (list (car dt)
+ (nth 1 dt)
+ (if (>= day (nth 2 julian))
+ (nth 2 julian)
+ (1+ day))))))
+ (t
+ ;; The default
+ (list 'date (math-add (math-dt-to-date (list (car dt) (nth 1 dt) 1)) day))))
+ (list 'date (math-add (math-dt-to-date (list (car dt) (nth 1 dt) 1)) day)))))
(defun calcFunc-newyear (date &optional day)
+ (if (eq (car-safe date) 'date) (setq date (nth 1 date)))
(or day (setq day 1))
(and (math-messy-integerp day) (setq day (math-trunc day)))
(or (integerp day) (math-reject-arg day 'fixnump))
- (let ((dt (math-date-to-dt date)))
+ (let* ((dt (math-date-to-dt date))
+ (gregbeg (if calc-gregorian-switch
+ (or (nth 3 calc-gregorian-switch)
+ (apply 'math-absolute-from-gregorian-dt calc-gregorian-switch))))
+ (julianend (if calc-gregorian-switch (math-sub gregbeg 1)))
+ (julian (if calc-gregorian-switch
+ (math-date-to-dt julianend))))
(if (and (>= day 0) (<= day 366))
- (let ((max (if (eq (car dt) 1752) 355
- (if (math-leap-year-p (car dt)) 366 365))))
+ (let ((max (if (math-leap-year-p (car dt)) 366 365)))
(if (or (= day 0) (> day max)) (setq day max))
- (list 'date (math-add (math-dt-to-date (list (car dt) 1 1))
- (1- day))))
+ (if calc-gregorian-switch
+ ;; Now to break this down into cases
+ (cond
+ ((and (math-dt-before-p (list (car dt) 1 1) calc-gregorian-switch)
+ (math-dt-before-p julian (list (car dt) 1 1)))
+ ;; In this case, CALC-GREGORIAN-SWITCH is the first day of the year
+ (list 'date (math-min (math-add gregbeg (1- day))
+ (math-dt-to-date (list (car calc-gregorian-switch) 12 31)))))
+ ((eq (car dt) (car julian))
+ ;; In this case, the switch to the Gregorian calendar occurs in the given year
+ (if (Math-lessp (car julian) (car calc-gregorian-switch))
+ ;; Here, the last Julian day is the last day of the year.
+ (list 'date (math-min (math-add (math-dt-to-date (list (car dt) 1 1)) (1- day))
+ julianend))
+ ;; Otherwise, just make sure the date doesn't go past the end of the year
+ (list 'date (math-min (math-add (math-dt-to-date (list (car dt) 1 1)) (1- day))
+ (math-dt-to-date (list (car dt) 12 31))))))
+ (t
+ (list 'date (math-add (math-dt-to-date (list (car dt) 1 1))
+ (1- day)))))
+ (list 'date (math-add (math-dt-to-date (list (car dt) 1 1))
+ (1- day)))))
(if (and (>= day -12) (<= day -1))
- (list 'date (math-dt-to-date (list (car dt) (- day) 1)))
- (math-reject-arg day 'range)))))
+ (if (and calc-gregorian-switch
+ (math-dt-before-p (list (car dt) (- day) 1) calc-gregorian-switch)
+ (math-dt-before-p julian (list (car dt) (- day) 1)))
+ (list 'date gregbeg)
+ (list 'date (math-dt-to-date (list (car dt) (- day) 1))))
+ (math-reject-arg day 'range)))))
(defun calcFunc-incmonth (date &optional step)
(or step (setq step 1))
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